JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank

done Capacitance Total Questions - 171

• question_answer1)
  The capacity of a parallel plate condenser is \[5\mu F\]. When a glass plate is placed between the plates of the conductor, its potential becomes \[1/8th\]of the original value. The value of dielectric constant will be                                      [MP PMT 1985]
  A)
                     1.6                                     done clear
  B)
             5 done clear
  C)
                     8 done clear
  D)
                                       40 done clear
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• question_answer2)
  A capacitor is charged by using a battery which is then disconnected. A dielectric slab is then slipped between the plates, which results in                                                     [NCERT 1980; MP PET 1995; BHU 1997]
  A)
                     Reduction of charge on the plates and increase of potential difference across the plates done clear
  B)
                     Increase in the potential difference across the plate, reduction in stored energy, but no change in the charge on the plates done clear
  C)
                     Decrease in the potential difference across the plates, reduction in the stored energy, but no change in the charge on the plates done clear
  D)
                     None of the above done clear
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• question_answer3)
  The energy of a charged capacitor is given by the expression (\[q\]= charge on the conductor and C = its capacity) [MP PMT 1989]
  A)
                                                       \[\frac{{{q}^{2}}}{2C}\]     done clear
  B)
             \[\frac{{{q}^{2}}}{C}\] done clear
  C)
                     \[2qC\] done clear
  D)
                                       \[\frac{q}{2{{C}^{2}}}\] done clear
  View Solution play_arrow

• question_answer4)
  The capacity of a condenser is \[4\times {{10}^{-6}}\] farad and its potential is\[100\,\,volts\]. The energy released on discharging it fully will be                 [AFMC 1988; AIIMS 1980, 84]
  A)
                     \[0.02\ Joule\] done clear
  B)
                                       \[0.04Joule\] done clear
  C)
                     \[0.025\,Joule\] done clear
  D)
                                       \[0.05\,Joule\] done clear
  View Solution play_arrow

• question_answer5)
  The insulated spheres of radii \[{{R}_{1}}\] and \[{{R}_{2}}\] having charges \[{{Q}_{1}}\]and \[{{Q}_{2}}\] respectively are connected to each other. There is [NCERT 1971, 84; MP PMT 2001]
  A)
                     No change in the energy of the system done clear
  B)
                     An increase in the energy of the system done clear
  C)
                     Always a decrease in the energy of the system done clear
  D)
                     A decrease in the energy of the system unless \[{{Q}_{1}}{{R}_{2}}={{Q}_{2}}{{R}_{1}}\] done clear
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• question_answer6)
  Which one statement is correct? A parallel plate air condenser is connected with a battery. Its charge, potential, electric field and energy are\[{{Q}_{o}},\ {{V}_{o}},\ {{E}_{o}}\] and \[{{U}_{o}}\]respectively. In order to fill the complete space between the plates a dielectric slab is inserted, the battery is still connected. Now the corresponding values\[Q,\ V,\ E\] and\[U\]are in relation with the initially stated as                               [IIT 1985]
  A)
                     \[Q>{{Q}_{o}}\] done clear
  B)
                                       \[V>{{V}_{o}}\] done clear
  C)
                     \[E>{{E}_{o}}\] done clear
  D)
                                       \[U>{{U}_{o}}\] done clear
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• question_answer7)
  In a charged capacitor, the energy resides                                                                           [CPMT 1974; KCET  2000]
  A)
                     The positive charges done clear
  B)
                     Both the positive and negative charges done clear
  C)
                     The field between the plates done clear
  D)
                     Around the edge of the capacitor plates done clear
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• question_answer8)
  The energy stored in a condenser of capacity \[C\] which has been raised to a potential \[V\]is given by [MP PMT 1993; CPMT 1974; DCE 2002; RPET 2003]
  A)
                                                       \[\frac{1}{2}CV\] done clear
  B)
                                       \[\frac{1}{2}C{{V}^{2}}\] done clear
  C)
                     \[CV\] done clear
  D)
                                       \[\frac{1}{2VC}\] done clear
  View Solution play_arrow

• question_answer9)
  If two conducting spheres are separately charged and then brought in contact                                   [NCERT 1979]
  A)
                     The total energy of the two spheres is conserved done clear
  B)
                     The total charge on the two spheres is conserved done clear
  C)
                     Both the total energy and charge are conserved done clear
  D)
                     The final potential is always the mean of the original potentials of the two spheres done clear
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• question_answer10)
  Two insulated charged spheres of radii \[20\,cm\] and \[25\,cm\]respectively and having an equal charge \[Q\] are connected by a copper wire, then they are separated                                                                                              [NCERT 1971]
  A)
                     Both the spheres will have the same charge \[Q\] done clear
  B)
                     Charge on the \[20\ cm\] sphere will be greater than that on the \[25\ cm\] sphere done clear
  C)
                     Charge on the \[25\ cm\] sphere will be greater than that on the \[20\ cm\] sphere done clear
  D)
                     Charge on each of the sphere will be \[2Q\] done clear
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• question_answer11)
  Eight drops of mercury of equal radii possessing equal charges combine to form a big drop. Then the capacitance of bigger drop compared to each individual small drop is [MP PET 1990; MNR 1987; MP PMT 2002, 03; Pb. PET 2004; J & K CET 2005]
  A)
                     8 times                             done clear
  B)
             4 times done clear
  C)
                     2 times done clear
  D)
                                       32 times done clear
  View Solution play_arrow

• question_answer12)
  A condenser of capacity \[50\,\mu F\]is charged to \[10\ volts\]. Its energy is equal to                                               [CPMT 1978; MP PET 1994; MP PMT 2000]
  A)
                     \[2.5\times {{10}^{-3}}\ joule\] done clear
  B)
                                       \[2.5\times {{10}^{-4}}\ joule\] done clear
  C)
                     \[5\times {{10}^{-2}}\ joule\] done clear
  D)
                     \[1.2\times {{10}^{-8}}\ joule\] done clear
  View Solution play_arrow

• question_answer13)
  The potential gradient at which the dielectric of a condenser just gets punctured is called
  A)
                     Dielectric constant      done clear
  B)
             Dielectric strength done clear
  C)
                     Dielectric resistance   done clear
  D)
             Dielectric number done clear
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• question_answer14)
  A parallel plate condenser has a capacitance \[50\mu F\] in air and \[110\mu F\]when immersed in an oil. The dielectric constant \['k'\] of the oil is               [CPMT 1985; J & K CET 2004]
  A)
                     0.45 done clear
  B)
                                       0.55 done clear
  C)
                     1.10                                   done clear
  D)
             2.20 done clear
  View Solution play_arrow

• question_answer15)
  Separation between the plates of a parallel plate capacitor is \[d\]and the area of each plate is \[A\]. When a slab of material of dielectric constant\[k\]and thickness \[t(t<d)\] is introduced between the plates,  its capacitance becomes                                                                                          [MP PMT 1989]
  A)
                     \[\frac{{{\varepsilon }_{0}}A}{d+t\left( 1-\frac{1}{k} \right)}\]  done clear
  B)
             \[\frac{{{\varepsilon }_{0}}A}{d+t\left( 1+\frac{1}{k} \right)}\] done clear
  C)
                     \[\frac{{{\varepsilon }_{0}}A}{d-t\left( 1-\frac{1}{k} \right)}\] done clear
  D)
             \[\frac{{{\varepsilon }_{0}}A}{d-t\left( 1+\frac{1}{k} \right)}\] done clear
  View Solution play_arrow

• question_answer16)
  The capacity of parallel plate condenser depends on [CPMT 1974; MP PMT 2000; JIPMER 2002]
  A)
                     The type of metal used    done clear
  B)
                     The thickness of plates done clear
  C)
                     The potential applied across the plates done clear
  D)
                     The separation between the plates done clear
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• question_answer17)
  The energy of a charged capacitor resides in
  A)
                     The electric field only done clear
  B)
                     The magnetic field only done clear
  C)
                     Both the electric and magnetic field done clear
  D)
                     Neither in electric nor magnetic field done clear
  View Solution play_arrow

• question_answer18)
  No current flows between two charged bodies connected together when they have the same                    [MP PMT 1984; CPMT 1971, 83]
  A)
                     Capacitance or \[\frac{Q}{V}\] ratio                        done clear
  B)
             Charge done clear
  C)
                     Resistance                      done clear
  D)
             Potential or \[\frac{Q}{C}\]ratio done clear
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• question_answer19)
  The capacity of a parallel plate condenser is \[C\]. Its capacity when the separation between the plates is halved will be [CPMT 1984]
  A)
                     \[4C\] done clear
  B)
                                       \[2C\] done clear
  C)
                     \[\frac{C}{2}\]               done clear
  D)
             \[\frac{C}{4}\] done clear
  View Solution play_arrow

• question_answer20)
  Eight small drops, each of radius \[r\] and having same charge \[q\]are combined to form a big drop. The ratio between the potentials of the bigger drop and the smaller drop is [CPMT 1983, 89; MP PMT 1989, 94]
  A)
                     8 : 1 done clear
  B)
                                       4 : 1 done clear
  C)
                     2 : 1                                   done clear
  D)
             1 : 8 done clear
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• question_answer21)
  1000 small water drops each of radius r and charge \[q\]coalesce together to form one spherical drop. The potential of the big drop is larger than that of the smaller drop by a factor of          [CPMT 1991, 97; NCERT 1984; MP PMT 1996; MP PET 2002]
  A)
                     1000 done clear
  B)
                                       100 done clear
  C)
                     10                                       done clear
  D)
             1 done clear
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• question_answer22)
  A parallel plate condenser is immersed in an oil of dielectric constant 2. The field between the plates is  [CPMT 1975]
  A)
                     Increased proportional to 2 done clear
  B)
                     Decreased proportional to \[\frac{1}{2}\] done clear
  C)
                     Increased proportional to \[\sqrt{2}\] done clear
  D)
                     Decreased proportional to \[\frac{1}{\sqrt{2}}\] done clear
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• question_answer23)
  The capacitance of a spherical condenser is \[1\mu F\]. If the spacing between the two spheres is\[1\,mm\], then the radius of the outer sphere is                                    [CPMT 1989]
  A)
                     \[30cm\] done clear
  B)
                                       \[6m\] done clear
  C)
                     \[5cm\]                            done clear
  D)
             \[3m\] done clear
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• question_answer24)
  If the dielectric constant and dielectric strength be denoted by \[k\]and \[x\] respectively, then a material suitable for use as a dielectric in a capacitor must have     [EAMCET 1986]
  A)
                     High \[k\]and high \[x\]   done clear
  B)
             High \[k\]and low \[x\] done clear
  C)
                     Low \[k\]and low \[x\]     done clear
  D)
             Low \[k\] and high \[x\] done clear
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• question_answer25)
  When air in a capacitor is replaced by a medium of dielectric constant K, the capacity                                      [NCERT 1990; CPMT 1972, 82, 90; MP PMT 1993;                                                 MP PET 1994; KCET 1994]
  A)
                     Decreases K times      done clear
  B)
             Increases K times done clear
  C)
                     Increases \[{{K}^{2}}\]times                                      done clear
  D)
             Remains constant done clear
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• question_answer26)
  64 drops each having the capacity \[C\] and potential \[V\]are combined to form a big drop. If the charge on the small drop is\[q\], then the charge on the big drop will be                                        [MP PET 1985; MP PET/PMT 1988; CPMT 1971]
  A)
                     \[2q\] done clear
  B)
                                       \[4q\] done clear
  C)
                     \[16q\]                             done clear
  D)
             \[64q\] done clear
  View Solution play_arrow

• question_answer27)
  The capacity of a parallel plate capacitor increases with the                                                            [AFMC 1995; MH CET (Med.) 1999]
  A)
                     Decrease of its area   done clear
  B)
             Increase of its distance done clear
  C)
                     Increase of its area done clear
  D)
             None of the above done clear
  View Solution play_arrow

• question_answer28)
  The radius of two metallic spheres \[A\] and \[B\] are \[{{r}_{1}}\] and \[{{r}_{2}}\] respectively \[({{r}_{1}}>{{r}_{2}})\]. They are connected by a thin wire and the system is given a certain charge. The charge will be greater
  A)
                     On the surface of the sphere \[B\] done clear
  B)
                     On the surface of the sphere \[A\] done clear
  C)
                     Equal on both done clear
  D)
                     Zero on both done clear
  View Solution play_arrow

• question_answer29)
  The capacity of a spherical conductor in MKS system is [MP PMT 2002]
  A)
                     \[\frac{R}{4\pi {{\varepsilon }_{0}}}\] done clear
  B)
                                       \[\frac{4\pi {{\varepsilon }_{0}}}{R}\] done clear
  C)
                     \[4\pi {{\varepsilon }_{0}}R\]                                     done clear
  D)
             \[4\pi {{\varepsilon }_{0}}{{R}^{2}}\] done clear
  View Solution play_arrow

• question_answer30)
  Can a metal be used as a medium for dielectric [DPMT 1999]
  A)
                     Yes                                    done clear
  B)
             No done clear
  C)
                     Depends on its shape       done clear
  D)
             Depends on dielectric done clear
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• question_answer31)
  The area of each plate of a parallel plate capacitor is \[100\,c{{m}^{2}}\]and the distance between the plates is\[1mm\]. It is filled with mica of dielectric 6. The radius of the equivalent capacity of the sphere will be
  A)
                     \[47.7\ m\] done clear
  B)
                                       4.77 \[m\] done clear
  C)
                     477 \[m\]                        done clear
  D)
             None of the above done clear
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• question_answer32)
  The respective radii of the two spheres of a spherical condenser are \[12\ cm\] and \[9\ cm\]. The dielectric constant of the medium between them is 6. The capacity of the condenser will be                                             [MP PET 1993]
  A)
                     \[240pF\] done clear
  B)
                                       \[240\mu F\] done clear
  C)
                     \[240F\]                           done clear
  D)
             None of the above done clear
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• question_answer33)
  A parallel plate condenser is connected with the terminals of a battery. The distance between the plates is\[6mm\]. If a glass plate (dielectric constant\[K=9\]) of \[4.5mm\] is introduced between them, then the capacity will become
  A)
                     2 times done clear
  B)
                                       The same done clear
  C)
                     3 times                             done clear
  D)
             4 times done clear
  View Solution play_arrow

• question_answer34)
  The radii of two metallic spheres \[P\] and \[Q\] are \[{{r}_{1}}\] and\[{{r}_{2}}\] respectively. They are given the same charge. If  \[{{r}_{1}}>{{r}_{2}}\]. then on connecting them with a thin wire, the charge will flow                                                                                              [MP PMT 1985]
  A)
                     From P to Q                   done clear
  B)
                     From Q to P done clear
  C)
                     Neither the charge will flow from  P to Q nor from Q to P done clear
  D)
                     The information is incomplete done clear
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• question_answer35)
  A capacitor of capacity \[C\] has charge \[Q\] and stored energy is \[W\]. If the charge is increased to \[2Q\], the stored energy will be                                                [MP PET 1990]
  A)
                     \[2W\] done clear
  B)
                                       \[W/2\] done clear
  C)
                     \[4W\]                             done clear
  D)
             \[W/4\] done clear
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• question_answer36)
  Between the plates of a parallel plate condenser, a plate of thickness \[{{t}_{1}}\]and dielectric constant \[{{k}_{1}}\] is placed. In the rest of the space, there is another plate of thickness \[{{t}_{2}}\] and dielectric constant \[{{k}_{2}}\].  The potential difference across the condenser will be                                    [MP PET 1993]
  A)
                     \[\frac{Q}{A{{\varepsilon }_{0}}}\left( \frac{{{t}_{1}}}{{{k}_{1}}}+\frac{{{t}_{2}}}{{{k}_{2}}} \right)\] done clear
  B)
                                       \[\frac{{{\varepsilon }_{0}}Q}{A}\left( \frac{{{t}_{1}}}{{{k}_{1}}}+\frac{{{t}_{2}}}{{{k}_{2}}} \right)\] done clear
  C)
                     \[\frac{Q}{A{{\varepsilon }_{0}}}\left( \frac{{{k}_{1}}}{{{t}_{1}}}+\frac{{{k}_{2}}}{{{t}_{2}}} \right)\] done clear
  D)
                                       \[\frac{{{\varepsilon }_{0}}Q}{A}({{k}_{1}}{{t}_{1}}+{{k}_{2}}{{t}_{2}})\] done clear
  View Solution play_arrow

• question_answer37)
  The distance between the plates of a parallel plate condenser is \[4mm\] and potential difference is\[60\ volts\]. If the distance between the plates is increased to\[12mm\], then
  A)
                     The potential difference of the condenser will become \[180\ volts\] done clear
  B)
                     The P.D. will become \[20\ volts\] done clear
  C)
                     The P.D. will remain unchanged done clear
  D)
                     The charge on condenser will reduce to one third          done clear
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• question_answer38)
  The two metallic plates of radius \[r\] are placed at a distance \[d\]apart and its capacity is \[C\]. If a plate of radius \[r/2\]and thickness \[d\] of dielectric constant 6 is placed between the plates of the condenser, then its capacity will be
  A)
                     \[7C/2\] done clear
  B)
                                       \[3C/7\] done clear
  C)
                     \[7C/3\]                           done clear
  D)
             \[9C/4\] done clear
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• question_answer39)
  The distance between the plates of a parallel plate condenser is \[8mm\] and P.D. \[120\ volts\]. If a \[6mm\] thick slab of dielectric constant 6 is introduced between its plates, then
  A)
                     The charge on the condenser will be doubled done clear
  B)
                     The charge on the condenser will be reduced to half done clear
  C)
                     The P.D. across the condenser will be \[320\ volts\] done clear
  D)
                     The P.D. across the condenser will be \[45\ volts\] done clear
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• question_answer40)
  In a parallel plate condenser, the radius of each circular plate is \[12cm\] and the distance between the plates is\[5mm\]. There is a glass slab of \[3mm\] thick and of radius \[12cm\] with dielectric constant 6 between its plates. The capacity of the condenser will be
  A)
                     \[144\times {{10}^{-9}}F\] done clear
  B)
                                       \[40pF\] done clear
  C)
                     \[160pF\]                        done clear
  D)
             \[1.44\mu F\] done clear
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• question_answer41)
  The true statement is, on increasing the distance between the plates of a parallel plate condenser
  A)
                     The electric intensity between the plates will decrease done clear
  B)
                     The electric intensity between the plates will increase done clear
  C)
                     The electric intensity between the plates will remain unchanged done clear
  D)
                     The P.D. between the plates will decrease done clear
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• question_answer42)
  There is an air filled \[1pF\] parallel plate capacitor. When the plate separation is doubled and the space is filled with wax, the capacitance increases to\[2pF\]. The dielectric constant of wax is           [MNR 1998; KCET 2005]
  A)
                     2 done clear
  B)
                                       4 done clear
  C)
                     6                                         done clear
  D)
             8 done clear
  View Solution play_arrow

• question_answer43)
  The capacity and the energy stored in a parallel plate condenser with air between its plates are respectively \[{{C}_{o}}\] and \[{{W}_{o}}\]. If the air is replaced by glass (dielectric constant = 5) between the plates, the capacity of the plates and the energy stored in it will respectively be
  A)
                     \[5{{C}_{o}},\ 5{{W}_{o}}\] done clear
  B)
                                       \[5{{C}_{o}},\ \frac{{{W}_{0}}}{5}\] done clear
  C)
                     \[\frac{{{C}_{o}}}{5},\ 5{{W}_{o}}\]                         done clear
  D)
             \[\frac{{{C}_{o}}}{5},\frac{{{W}_{o}}}{5}\] done clear
  View Solution play_arrow

• question_answer44)
  Force of attraction between the plates of a parallel plate capacitor is                                       [AFMC 1998]
  A)
                     \[\frac{{{q}^{2}}}{2{{\varepsilon }_{0}}AK}\] done clear
  B)
                                       \[\frac{{{q}^{2}}}{{{\varepsilon }_{0}}AK}\] done clear
  C)
                     \[\frac{q}{2{{\varepsilon }_{0}}A}\]                        done clear
  D)
             \[\frac{{{q}^{2}}}{2{{\varepsilon }_{0}}{{A}^{2}}K}\] done clear
  View Solution play_arrow

• question_answer45)
  A capacitor of capacity \[C\] is connected with a battery of potential \[V\] in parallel. The distance between its plates is reduced to half at once, assuming that the charge remains the same. Then to charge the capacitance upto the potential \[V\] again, the energy given by the battery will be                                                                                            [MP PET 1989]
  A)
                     \[C{{V}^{2}}/4\] done clear
  B)
                                       \[C{{V}^{2}}/2\] done clear
  C)
                     \[3C{{V}^{2}}/4\]         done clear
  D)
             \[C{{V}^{2}}\] done clear
  View Solution play_arrow

• question_answer46)
  \[N\] identical spherical drops charged to the same potential \[V\] are combined to form a big drop. The potential of the new drop will be                            [MP PMT 1990, 2001; KCET 2000; Kerala PET 2002]
  A)
                     \[V\] done clear
  B)
                                       \[V/N\] done clear
  C)
                     \[V\times N\]               done clear
  D)
             \[V\times {{N}^{2/3}}\] done clear
  View Solution play_arrow

• question_answer47)
  One plate of parallel plate capacitor is smaller than other, then charge on smaller plate will be
  A)
                     Less than other            done clear
  B)
                     More than other done clear
  C)
                     Equal to other               done clear
  D)
                     Will depend upon the medium between them done clear
  View Solution play_arrow

• question_answer48)
  A \[6\mu F\] capacitor is charged from \[10\ volts\] to\[20\ volts\]. Increase in energy will be     [CPMT 1987, 97; BCECE 2004]
  A)
                     \[18\times {{10}^{-4}}J\]  done clear
  B)
             \[9\times {{10}^{-4}}J\] done clear
  C)
                     \[4.5\times {{10}^{-4}}J\] done clear
  D)
             \[9\times {{10}^{-6}}J\] done clear
  View Solution play_arrow

• question_answer49)
  As shown in the figure, a very thin sheet of aluminium is placed in between the plates of the condenser. Then the capacity                                                      [AIEEE 2003]
  A)
                     Will increase                  done clear
  B)
             Will decrease done clear
  C)
                     Remains unchanged  done clear
  D)
             May increase or decrease done clear
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• question_answer50)
  Twenty seven drops of water of the same size are equally and similarly charged. They are then united to form a bigger drop. By what factor will the electrical potential changes [MP PET 1991; MP PMT 1994; RPET 2001]
  A)
                     9 times done clear
  B)
                                       27 times done clear
  C)
                     6 times                             done clear
  D)
             3 times done clear
  View Solution play_arrow

• question_answer51)
  The outer sphere of a spherical air capacitor is earthed. For increasing its capacitance                                      [MP PET 1991]
  A)
                     Vacuum is created between two spheres done clear
  B)
                     Dielectric material is filled between the two spheres done clear
  C)
                     The space between two spheres is increased done clear
  D)
                     The earthing of the outer sphere is removed done clear
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• question_answer52)
  The plates of parallel plate capacitor are charged upto\[100\ V\]. A\[2mm\] thick plate is inserted between the plates. Then to maintain the same potential difference, the distance between the plates is increased by\[1.6\ mm\]. The dielectric constant of the plate is                       [MP PMT 1991]
  A)
                     5                                         done clear
  B)
             1.25 done clear
  C)
                     4                                         done clear
  D)
             2.5 done clear
  View Solution play_arrow

• question_answer53)
  Force acting upon a charged particle kept between the plates of a charged condenser is \[F\]. If one plate of the condenser is removed, then the force acting on the same particle will become                                  [MP PMT 1991]
  A)
                     0 done clear
  B)
  .                                    \[F/2\] done clear
  C)
                     \[F\]                                  done clear
  D)
             \[2F\] done clear
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• question_answer54)
  Two metallic charged spheres whose radii are 20\[cm\] and 10\[cm\] respectively, have each 150\[micro-coulomb\] positive charge. The common potential after they are connected by a conducting wire is                               [MP PMT 1991]
  A)
                     \[9\times {{10}^{6}}\ volts\] done clear
  B)
             \[4.5\times {{10}^{6}}\ volts\] done clear
  C)
                     \[1.8\times {{10}^{7}}\ volts\]                                   done clear
  D)
             \[13.5\times {{10}^{6}}\ volts\] done clear
  View Solution play_arrow

• question_answer55)
  The dielectric constant \[k\] of an insulator cannot be  [CPMT 1974]
  A)
                     3 done clear
  B)
                                       6 done clear
  C)
                     8                                         done clear
  D)
             \[\infty \] done clear
  View Solution play_arrow

• question_answer56)
  A frictionless dielectric plate \[S\] is kept on a frictionless table \[T\]. A charged parallel plate capacitance \[C\] (of which the plates are frictionless) is kept near it. The plate \[S\] is between the plates. When the plate \[S\] is left between the plates                                                               [CPMT 1988]
  A)
                     It will remain stationary on the table done clear
  B)
                     It is pulled by the capacitor and will pass on the other end done clear
  C)
                     It is pulled between the plates and will remain there done clear
  D)
                     All the above statements are false done clear
  View Solution play_arrow

• question_answer57)
  A parallel plate capacitor is charged and the charging battery is then disconnected. If the plates of the capacitor are moved further apart by means of insulating handles, then [IIT 1987; MP PET 1992; Manipal MEE 1995; MP PMT 1996]
  A)
                     The charge on the capacitor increases done clear
  B)
                     The voltage across the plates decreases done clear
  C)
                     The capacitance increases done clear
  D)
                     The electrostatic energy stored in the capacitor increases done clear
  View Solution play_arrow

• question_answer58)
  A capacitor with air as the dielectric is charged to a potential of \[100\ volts\]. If the space between the plates is now filled with a dielectric of dielectric constant 10, the potential difference between the plates will be          [MP PET 1992]
  A)
                     1000\[volts\] done clear
  B)
                                       100 \[volts\] done clear
  C)
                     10 \[volts\]                     done clear
  D)
             Zero done clear
  View Solution play_arrow

• question_answer59)
  The distance between the circular plates of a parallel plate condenser \[40mm\] in diameter,  in order to have same capacity as a sphere of radius \[1\ metre\]is [MP PET 1992]
  A)
                     \[0.01mm\] done clear
  B)
                                       0.1 \[mm\] done clear
  C)
                     1.0 \[mm\] done clear
  D)
                                       10 \[mm\] done clear
  View Solution play_arrow

• question_answer60)
  When a slab of dielectric material is introduced between the parallel plates of  a capacitor which remains connected to a battery, then charge on  plates relative to earlier charge [MP PET 1992]
  A)
                     Is less done clear
  B)
                     Is same done clear
  C)
                     Is more done clear
  D)
                     May be less or more depending on the nature of the material introduced done clear
  View Solution play_arrow

• question_answer61)
  The capacitance of a metallic sphere will be\[1\mu F\], if its radius is nearly                                 [MP PMT 1992; MH CET (Med.) 2001; UPSEAT 1999]
  A)
                     9 \[km\] done clear
  B)
                                       10\[m\] done clear
  C)
                     1.11 \[m\] done clear
  D)
                                       1.11 \[cm\] done clear
  View Solution play_arrow

• question_answer62)
  A parallel plate capacitor of plate area \[A\]and plate separation \[d\]is charged to potential \[V\]and then the battery is disconnected. A slab of dielectric constant \[k\]is then inserted between the plates of the capacitors so as to fill the space between the plates. If \[Q,\ E\] and \[W\] denote respectively, the magnitude of charge on each plate, the electric field between the plates (after the slab is inserted) and work done on the system in question in the process of inserting the slab, then state incorrect relation from the following                      [IIT 1991; MP PET 1997]         
  A)
                     \[Q=\frac{{{\varepsilon }_{0}}AV}{d}\] done clear
  B)
                                       \[W=\frac{{{\varepsilon }_{0}}A{{V}^{2}}}{2kd}\] done clear
  C)
                     \[E=\frac{V}{kd}\] done clear
  D)
                                       \[W=\frac{{{\varepsilon }_{0}}A{{V}^{2}}}{2d}\left( 1-\frac{1}{k} \right)\] done clear
  View Solution play_arrow

• question_answer63)
  The capacitance of a parallel plate condenser does not depend on                                           [MP PET 1994]
  A)
                     Area of the plates done clear
  B)
                     Medium between the plates done clear
  C)
                     Distance between the plates done clear
  D)
                     Metal of the plates done clear
  View Solution play_arrow

• question_answer64)
  Between the plates of a parallel plate condenser there is \[1mm\] thick paper of dielectric constant 4. It is charged at \[100\ volt\]. The electric field in \[volt/metre\]between the plates of the capacitor is                                  [MP PMT 1994]
  A)
                     100 done clear
  B)
                                       100000 done clear
  C)
                     25000                                done clear
  D)
             4000000 done clear
  View Solution play_arrow

• question_answer65)
  The electric field between the two spheres of a charged spherical condenser                                     [MP PMT 1994]
  A)
                     Is zero done clear
  B)
                                               Is constant done clear
  C)
                     Increases with distance from the centre done clear
  D)
                     Decreases with distance from the centre done clear
  View Solution play_arrow

• question_answer66)
  The distance between the plates of a parallel plate capacitor is \[d\]. A metal plate of thickness \[d/2\] is placed between the plates. The capacitance would then be [MP PMT 1994]
  A)
                     Unchanged                    done clear
  B)
             Halved done clear
  C)
                     Zero                                  done clear
  D)
             Doubled done clear
  View Solution play_arrow

• question_answer67)
  An uncharged capacitor is connected to a battery. On charging the capacitor                                                       [MP PMT 1994; MP PET 1997; KCET 2002]
  A)
                     All the energy supplied is stored in the capacitor done clear
  B)
                     Half the energy supplied is stored in the capacitor done clear
  C)
                     The energy stored depends upon the capacity of the capacitor only done clear
  D)
                     The energy stored depends upon the time for which the capacitor is charged done clear
  View Solution play_arrow

• question_answer68)
  A capacitor is kept connected to the battery and a dielectric slab is inserted between the plates. During this process  [MP PMT 1994]
  A)
                     No work is done          done clear
  B)
                     Work is done at the cost of the energy already stored in the capacitor before the slab is inserted done clear
  C)
                     Work is done at the cost of the battery done clear
  D)
                     Work is done at the cost of both the capacitor and the battery done clear
  View Solution play_arrow

• question_answer69)
  The capacitance of an air capacitor is \[15\mu F\]the separation between the parallel plates is\[6mm\]. A copper plate of \[3mm\] thickness is introduced symmetrically between the plates.  The capacitance now becomes                  [MP PMT 1995]
  A)
                     \[5\mu F\] done clear
  B)
                                       \[7.5\mu F\] done clear
  C)
                     \[22.5\mu F\]                done clear
  D)
             \[30\mu F\] done clear
  View Solution play_arrow

• question_answer70)
  An air capacitor is connected to a battery. The effect of filling the space between the plates with a dielectric is to increase                                                     [MP PMT 1995]
  A)
                     The charge and the potential difference done clear
  B)
                     The potential difference and the electric field done clear
  C)
                     The electric field and the capacitance done clear
  D)
                     The charge and the capacitance done clear
  View Solution play_arrow

• question_answer71)
  A light bulb, a capacitor and a battery are connected together as shown here, with switch \[S\] initially open. When the switch \[S\]is closed, which one of the following is true                    [MP PMT 1995]
  A)
                     The bulb will light up for an instant when the capacitor starts charging done clear
  B)
                     The bulb will light up when the capacitor is fully charged done clear
  C)
                     The bulb will not light up at all done clear
  D)
                     The bulb will light up and go off at regular intervals done clear
  View Solution play_arrow

• question_answer72)
  A parallel plate capacitor has a capacity \[C\]. The separation between the plates is doubled and a dielectric medium is introduced between the plates. If the capacity now becomes\[2C\], the dielectric constant of the medium is                                                                                     [Haryana CEE 1996]
  A)
                     2 done clear
  B)
                                       1 done clear
  C)
                     4 done clear
  D)
                                       8 done clear
  View Solution play_arrow

• question_answer73)
  The diameter of each plate of an air capacitor is \[4cm\]. To make the capacity of this plate capacitor equal to that of \[20cm\] diameter sphere, the distance between the plates will be                                                         [MP PET 1996]
  A)
                     \[4\times {{10}^{-3}}m\]  done clear
  B)
             \[1\times {{10}^{-3}}m\] done clear
  C)
                     \[1cm\]                            done clear
  D)
             \[1\times {{10}^{-3}}cm\] done clear
  View Solution play_arrow

• question_answer74)
  A spherical condenser has inner and outer spheres of radii \[a\]and \[b\]respectively. The space between the two is filled with air. The difference between the capacities of two condensers formed when outer sphere is earthed and when inner sphere is earthed will be                                                      [MP PET 1996]
  A)
                     Zero done clear
  B)
                                       \[4\pi {{\varepsilon }_{0}}a\] done clear
  C)
                     \[4\pi {{\varepsilon }_{0}}b\]                                     done clear
  D)
             \[4\pi {{\varepsilon }_{0}}a\left( \frac{b}{b-a} \right)\] done clear
  View Solution play_arrow

• question_answer75)
  The expression for the capacity of the capacitor formed by compound dielectric placed between the plates of a parallel plate capacitor as shown in figure, will be (area of plate \[=A\])                                 [MP PET 1996]
  A)
               \[\frac{{{\varepsilon }_{0}}A}{\left( \frac{{{d}_{1}}}{{{K}_{1}}}+\frac{{{d}_{2}}}{{{K}_{2}}}+\frac{{{d}_{3}}}{{{K}_{3}}} \right)}\] done clear
  B)
                \[\frac{{{\varepsilon }_{0}}A}{\left( \frac{{{d}_{1}}+{{d}_{2}}+{{d}_{3}}}{{{K}_{1}}+{{K}_{2}}+{{K}_{3}}} \right)}\] done clear
  C)
               \[\frac{{{\varepsilon }_{0}}A({{K}_{1}}{{K}_{2}}{{K}_{3}})}{{{d}_{1}}{{d}_{2}}{{d}_{3}}}\] done clear
  D)
                     \[{{\varepsilon }_{0}}\left( \frac{A{{K}_{1}}}{{{d}_{1}}}+\frac{A{{K}_{2}}}{{{d}_{2}}}+\frac{A{{K}_{3}}}{{{d}_{3}}} \right)\] done clear
  View Solution play_arrow

• question_answer76)
  The intensity of electric field at a point between the plates of a charged capacitor                                            [MP PMT 1996]
  A)
             Is directly proportional to the distance between the plates done clear
  B)
                     Is inversely proportional to the distance between the plates done clear
  C)
                     Is inversely proportional to the square of the distance between the plates done clear
  D)
                     Does not depend upon the distance between the plates done clear
  View Solution play_arrow

• question_answer77)
  The capacity of a condenser in which a dielectric of dielectric constant 5 has been used, is \[C\]. If the dielectric is replaced by another with dielectric constant 20, the capacity will become                                             [MP PMT 1996]
  A)
                     \[\frac{C}{4}\] done clear
  B)
                                       \[4C\] done clear
  C)
                     \[\frac{C}{2}\]               done clear
  D)
             \[2C\] done clear
  View Solution play_arrow

• question_answer78)
  In a spherical condenser radius of the outer sphere is \[R\]. The different in the radii of outer and inner sphere in\[x\]. Its capacity is proportional to
  A)
                     \[\frac{xR}{(R-x)}\] done clear
  B)
                                       \[\frac{x(R-x)}{r}\] done clear
  C)
                \[\frac{R(R-x)}{x}\]         done clear
  D)
    \[\frac{R}{x}\] done clear
  View Solution play_arrow

• question_answer79)
  A capacitor when filled with a dielectric \[K=3\] has charge \[{{Q}_{0}}\], voltage \[{{V}_{0}}\] and field\[{{E}_{0}}\]. If the dielectric is replaced with another one having \[K=9\] the new values of charge, voltage and field will be respectively
  A)
                     \[3{{Q}_{0}},\ 3{{V}_{0}},\ 3{{E}_{0}}\]                  done clear
  B)
             \[{{Q}_{0}},\ 3{{V}_{0}},\ 3{{E}_{0}}\] done clear
  C)
                     \[{{Q}_{0}},\ \frac{{{V}_{0}}}{3},\ 3{{E}_{0}}\]    done clear
  D)
             \[{{Q}_{0}},\ \frac{{{V}_{0}}}{3},\ \frac{{{E}_{0}}}{3}\] done clear
  View Solution play_arrow

• question_answer80)
  A charge of \[{{10}^{-9}}C\] is placed on each of the 64 identical drops of radius \[2cm\]. They are then combined to form a bigger drop. Find its potential                                                                     [MP PET 1997]
  A)
                     \[7.2\times {{10}^{3}}V\] done clear
  B)
             \[7.2\times {{10}^{2}}V\] done clear
  C)
                     \[1.44\times {{10}^{2}}V\]                                          done clear
  D)
             \[1.44\times {{10}^{3}}V\] done clear
  View Solution play_arrow

• question_answer81)
   125 identical drops each charged to the same potential of \[50\ volts\] are combined to form a single drop. The potential of the new drop will be                                                              [MP PET 1997]
  A)
                     \[50\,V\] done clear
  B)
                                       \[250\ V\] done clear
  C)
                     \[500\ V\]                       done clear
  D)
             \[1250\ V\] done clear
  View Solution play_arrow

• question_answer82)
  The plates of a parallel plate capacitor of capacity \[50\mu C\] are charged to a potential of \[100\ volts\] and then separated from each other so that the distance between them is doubled. How much is the energy spent in doing so                                                                     [MP PET 1997; JIPMER 2000]
  A)
                     \[25\times {{10}^{-2}}J\]  done clear
  B)
             \[-12.5\times {{10}^{-2}}J\] done clear
  C)
                     \[-25\times {{10}^{-2}}J\]                                            done clear
  D)
             \[12.5\times {{10}^{-2}}J\] done clear
  View Solution play_arrow

• question_answer83)
  Two spherical conductors each of capacity \[C\] are charged to potentials \[V\] and \[-V\]. These are then connected by means of a fine wire. The loss of energy will be [MP PMT 1997]
  A)
                     Zero done clear
  B)
                                       \[\frac{1}{2}C{{V}^{2}}\] done clear
  C)
                     \[C{{V}^{2}}\]               done clear
  D)
             \[2C{{V}^{2}}\] done clear
  View Solution play_arrow

• question_answer84)
  The area of the plates of a parallel plate condenser is \[A\] and the distance between the plates is \[10mm\]. There are two dielectric sheets in it, one of dielectric constant 10 and thickness \[6mm\] and the other of dielectric constant 5 and thickness \[4mm\]. The capacity of the condenser is [MP PMT 1997]
  A)
                     \[\frac{12}{35}{{\varepsilon }_{0}}A\] done clear
  B)
                                       \[\frac{2}{3}{{\varepsilon }_{0}}A\] done clear
  C)
                     \[\frac{5000}{7}{{\varepsilon }_{0}}A\]                  done clear
  D)
             \[1500\ {{\varepsilon }_{0}}A\] done clear
  View Solution play_arrow

• question_answer85)
  An air capacitor of capacity \[C=10\mu F\]is connected to a constant voltage battery of\[12\,V\]. Now the space between the plates is filled with a liquid of dielectric constant 5. The charge that flows now from battery to the capacitor is [MP PMT 1997]
  A)
                     \[120\mu C\] done clear
  B)
                                       \[699\mu C\] done clear
  C)
                     \[480\mu C\] done clear
  D)
             \[24\mu C\] done clear
  View Solution play_arrow

• question_answer86)
  A parallel plate capacitor is first charged and then a dielectric slab is introduced between the plates. The quantity that remains unchanged is                                      [MP PMT/PET 1998]
  A)
                     Charge \[Q\] done clear
  B)
                                       Potential \[V\] done clear
  C)
                     Capacity \[C\]               done clear
  D)
             Energy \[U\] done clear
  View Solution play_arrow

• question_answer87)
  A \[2\mu F\]capacitor is charged to 100\[volt\] and then its plates are connected by a conducting wire. The heat produced is [MP PET 1999; Pb. PET 2003]
  A)
                     \[1\ J\] done clear
  B)
                                       \[0.1\ J\] done clear
  C)
                     \[0.01\ J\]                       done clear
  D)
             \[0.001\ J\] done clear
  View Solution play_arrow

• question_answer88)
  The force between the plates of a parallel plate capacitor of capacitance\[C\] and distance of separation of the plates \[d\] with a potential difference \[V\] between the plates, is                                                                                          [MP PMT 1999]             
  A)
                     \[\frac{C{{V}^{2}}}{2d}\] done clear
  B)
                                       \[\frac{{{C}^{2}}{{V}^{2}}}{2{{d}^{2}}}\] done clear
  C)
                     \[\frac{{{C}^{2}}{{V}^{2}}}{{{d}^{2}}}\] done clear
  D)
                                       \[\frac{{{V}^{2}}d}{C}\] done clear
  View Solution play_arrow

• question_answer89)
  Two metal spheres of capacitance \[{{C}_{1}}\] and \[{{C}_{2}}\] carry some charges. They are put in contact and then separated. The final charges \[{{Q}_{1}}\] and \[{{Q}_{2}}\] on them will satisfy [MP PMT 1999]
  A)
                     \[\frac{{{Q}_{1}}}{{{Q}_{2}}}<\frac{{{C}_{1}}}{{{C}_{2}}}\] done clear
  B)
                                       \[\frac{{{Q}_{1}}}{{{Q}_{2}}}=\frac{{{C}_{1}}}{{{C}_{2}}}\] done clear
  C)
                     \[\frac{{{Q}_{1}}}{{{Q}_{2}}}>\frac{{{C}_{1}}}{{{C}_{2}}}\]          done clear
  D)
             \[\frac{{{Q}_{1}}}{{{Q}_{2}}}<\frac{{{C}_{2}}}{{{C}_{1}}}\] done clear
  View Solution play_arrow

• question_answer90)
  A parallel plate condenser with oil between the plates (dielectric constant of oil \[K=2\]) has a capacitance\[C\]. If the oil is removed, then capacitance of the capacitor becomes [CBSE PMT 1999; MH CET 2000]
  A)
                     \[\sqrt{2}C\] done clear
  B)
                                       \[2C\] done clear
  C)
                     \[\frac{C}{\sqrt{2}}\] done clear
  D)
             \[\frac{C}{2}\] done clear
  View Solution play_arrow

• question_answer91)
  What is the area of the plates of a \[3F\] parallel plate capacitor, if the separation between the plates is \[5mm\]                                                      [AIIMS 1998; Pb. PET 2000; BHU 2002]
  A)
                     \[1.694\times {{10}^{9}}{{m}^{2}}\] done clear
  B)
                                       \[4.529\times {{10}^{9}}{{m}^{2}}\] done clear
  C)
                     \[9.281\times {{10}^{9}}\ {{m}^{2}}\]                     done clear
  D)
             \[12.981\times {{10}^{9}}\ {{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer92)
  A parallel plate capacitor has circular plates of \[0.08m\] radius and \[1.0\times {{10}^{-3}}m\] separation. If a P.D. of \[100\ volt\]is applied, the charge will be                                                              [ISM Dhanbad 1994]
  A)
                     \[1.8\times {{10}^{-10}}C\] done clear
  B)
                                       \[\text{1}\text{.8}\times \text{1}{{\text{0}}^{-\text{8}}}C\] done clear
  C)
                     \[\text{1}\text{.8}\times \text{1}{{\text{0}}^{-\text{20}}}C\]   done clear
  D)
             None of these done clear
  View Solution play_arrow

• question_answer93)
  The capacity of a parallel plate condenser is \[10\mu F\] without dielectric. Dielectric of constant 2 is used to fill half the distance between the plates, the new capacitance in \[\mu F\] is [EAMCET (Engg.) 1995]
  A)
                     10 done clear
  B)
                                       20 done clear
  C)
                     15                                       done clear
  D)
             13.33 done clear
  View Solution play_arrow

• question_answer94)
  The energy stored in the condenser is                                 [EAMCET (Engg.) 1995; CPMT 2000; CBSE PMT 2001]
  A)
                     \[QV\]                              done clear
  B)
             \[\frac{1}{2}QV\] done clear
  C)
                     \[\frac{1}{2}C\] done clear
  D)
                                       \[\frac{1}{2}\frac{Q}{C}\] done clear
  View Solution play_arrow

• question_answer95)
  The capacitance of an air filled parallel plate capacitor is \[10\mu \mu F\]. The separation between the plates is doubled and the space between the plates is then filled with wax giving the capacitance a new value of\[40\times {{10}^{-12}}farads\]. The dielectric constant of wax is                                                     [AMU 1995]
  A)
                     12.0 done clear
  B)
                                       10.0 done clear
  C)
                     8.0 done clear
  D)
                                       4.2 done clear
  View Solution play_arrow

• question_answer96)
  Two identical charged spherical drops each of capacitance C merge to form a single drop. The resultant capacitance is [AFMC 1993]
  A)
                     Equal to \[2C\]              done clear
  B)
                     Greater than \[2C\] done clear
  C)
                     Less than \[2C\] but greater than C done clear
  D)
                     Less than C done clear
  View Solution play_arrow

• question_answer97)
  A condenser having a capacity 2.0 micro farad is charged to \[200\ volts\]and then the plates of the capacitor are connected to a resistance wire. The heat produced in joules will be [KCET 1992; JIPMER 2000]
  A)
                     \[4\times {{10}^{4}}J\] done clear
  B)
                                       \[4\times {{10}^{10}}J\] done clear
  C)
                     \[4\times {{10}^{-2}}J\]    done clear
  D)
             \[2\times {{10}^{-2}}J\] done clear
  View Solution play_arrow

• question_answer98)
  The radius of a metallic sphere if its capacitance is \[1/9\,F\], is [KCET 1999; Pb. PET 2001]
  A)
             \[{{10}^{6}}\,m\] done clear
  B)
                                       \[{{10}^{7}}m\] done clear
  C)
             \[{{10}^{9}}\,m\]                 done clear
  D)
             \[{{10}^{8}}\,m\] done clear
  View Solution play_arrow

• question_answer99)
  The ratio of charge to potential of a body is known as [CPMT 1999; MH CET 2001; Pb. PMT 2004]
  A)
             Capacitance done clear
  B)
                                       Conductance done clear
  C)
             Inductance                            done clear
  D)
             Resistance done clear
  View Solution play_arrow

• question_answer100)
  If the capacity of a spherical conductor is 1 picofarad, then its diameter, would be                                            [Pb. PMT 1999]
  A)
             \[1.8\times {{10}^{-3}}m\] done clear
  B)
                                       \[18\times {{10}^{-3}}m\] done clear
  C)
             \[1.8\times {{10}^{-5}}m\] done clear
  D)
                                       \[18\times {{10}^{-7}}m\] done clear
  View Solution play_arrow

• question_answer101)
  A parallel plate air capacitor is charged to a potential difference of V. After disconnecting the battery, distance between the plates of the capacitor is increased using an insulating handle. As a result, the potential difference between the plates       [KCET 1999]
  A)
             Decreases done clear
  B)
                                       Increases done clear
  C)
             Becomes zero                      done clear
  D)
             Does not change done clear
  View Solution play_arrow

• question_answer102)
  A \[10\,pF\] capacitor is connected to a 50 V battery. How much electrostatic energy is stored in the capacitor [KCET 1999]
  A)
             \[1.25\times {{10}^{-8}}\,J\] done clear
  B)
                                       \[2.5\times {{10}^{-7}}\,J\] done clear
  C)
             \[3.5\times {{10}^{-5}}\,J\] done clear
  D)
                                       \[4.5\times {{10}^{-2}}\,J\] done clear
  View Solution play_arrow

• question_answer103)
  Two protons A and B are placed in space between plates of a parallel plate capacitor charged upto V volts (See fig.) Forces on protons are \[{{F}_{A}}\] and \[{{F}_{B}}\], then           [RPET 1999]
  A)
             \[{{F}_{A}}>{{F}_{B}}\] done clear
  B)
             \[{{F}_{A}}<{{F}_{B}}\] done clear
  C)
             \[{{F}_{A}}={{F}_{B}}\] done clear
  D)
             Nothing can be said done clear
  View Solution play_arrow

• question_answer104)
  If a slab of insulating material \[4\times {{10}^{-3}}m\] thick is introduced between the plates of a parallel plate capacitor, the separation between plates has to be increased by \[3.5\times {{10}^{-3}}\,m\] to restore the capacity to original value. The dielectric constant of the material will be [AMU (Med.) 1999]
  A)
             6     done clear
  B)
             8 done clear
  C)
             10   done clear
  D)
             12 done clear
  View Solution play_arrow

• question_answer105)
  When a dielectric material is introduced between the plates of a charged condenser then electric field between the plates [Pb. PMT 1999]
  A)
             Decreases done clear
  B)
                                       Increases done clear
  C)
             Remain constant                 done clear
  D)
             First B then A done clear
  View Solution play_arrow

• question_answer106)
  A parallel plate capacitor has a plate separation of 0.01 mm and use a dielectric (whose dielectric strength is 19 KV/mm) as an insulator. The maximum potential difference that can be applied to the terminals of the capacitor is  [AMU (Engg.) 1999]
  A)
             190 V done clear
  B)
             290 V done clear
  C)
             95 V                                          done clear
  D)
             350 V done clear
  View Solution play_arrow

• question_answer107)
  Sixty-four drops are jointed together to form a bigger drop. If each small drop has a capacitance C, a potential V, and a charge q, then the capacitance of the bigger drop will be [AMU (Engg.) 1999]
  A)
             C     done clear
  B)
             4C done clear
  C)
             16C done clear
  D)
             64C done clear
  View Solution play_arrow

• question_answer108)
  A \[700\,pF\] capacitor is charged by a \[50V\] battery. The electrostatic energy stored by it is                    [MH CET 2000]
  A)
             \[17.0\times {{10}^{-8}}\,J\] done clear
  B)
                                       \[13.6\times {{10}^{-9}}\,J\] done clear
  C)
             \[9.5\times {{10}^{-9}}\,J\] done clear
  D)
                                       \[8.7\times {{10}^{-7}}\,J\] done clear
  View Solution play_arrow

• question_answer109)
   A variable condenser is permanently connected to a 100 \[V\] battery. If the capacity is changed from \[2\mu \,F\] to \[10\,\mu \,F\], then change in energy is equal to                           [BHU 2000]
  A)
             \[2\times {{10}^{-2}}\,J\] done clear
  B)
                                       \[2.5\times {{10}^{-2}}\,J\] done clear
  C)
             \[3.5\times {{10}^{-2}}\,J\] done clear
  D)
                                       \[4\times {{10}^{-2}}\,J\] done clear
  View Solution play_arrow

• question_answer110)
   A \[12pF\] capacitor is connected to a 50V battery. How much electrostatic energy is stored in the capacitor [AFMC 2000]
  A)
             \[1.5\times {{10}^{-8}}\,J\] done clear
  B)
                                       \[2.5\times {{10}^{-7}}\,J\] done clear
  C)
             \[3.5\times {{10}^{-5}}\,J\] done clear
  D)
                                       \[4.5\times {{10}^{-2}}\,J\] done clear
  View Solution play_arrow

• question_answer111)
  The capacity of a parallel plate condenser is \[15\mu \,F\], when the distance between its plates is 6 cm. If the distance between the plates is reduced to 2 cm, then the capacity of this parallel plate condenser will be                [AFMC 2000]
  A)
             \[15\mu \,F\]                        done clear
  B)
             \[30\mu \,F\] done clear
  C)
             \[45\mu \,F\]                        done clear
  D)
             \[60\mu \,F\] done clear
  View Solution play_arrow

• question_answer112)
  When we touch the terminals of a high voltage capacitor, even after a high voltage has been cut off, then the capacitor has a tendency to                                                         [AFMC 2000]
  A)
             Restore energy done clear
  B)
                                       Discharge energy done clear
  C)
             Affect dangerously            done clear
  D)
             Both B and C done clear
  View Solution play_arrow

• question_answer113)
  In a capacitor of capacitance \[20\mu \,F\], the distance between the plates is 2mm. If a dielectric slab of width 1mm and dielectric constant 2 is inserted between the plates, then the new capacitance is                                     [BHU 2000]
  A)
             \[2\mu \,F\]                          done clear
  B)
             \[15.5\mu \,F\] done clear
  C)
             \[26.6\mu \,F\] done clear
  D)
                                       \[32\mu \,F\] done clear
  View Solution play_arrow

• question_answer114)
  A metallic sheet is inserted between the plates of a parallel plate capacitor. The capacitance of the capacitor [Roorkee 2000]
  A)
             Increases done clear
  B)
             Is independent of the position of the sheet done clear
  C)
             Is maximum when the metal sheet in the middle done clear
  D)
             Is maximum when the metal sheet touches one of the capacitor plates done clear
  View Solution play_arrow

• question_answer115)
  The capacity of a parallel plate capacitor with no dielectric substance but with a separation of 0.4 cm is \[2\mu \,F\]. The separation is reduced to half and it is filled with a dielectric substance of value 2.8. The final capacity of the capacitor is [CBSE PMT 2000]
  A)
             \[11.2\mu F\]                       done clear
  B)
             \[15.6\mu F\] done clear
  C)
             \[19.2\mu F\]                       done clear
  D)
             \[22.4\mu F\] done clear
  View Solution play_arrow

• question_answer116)
  Two insulated metallic spheres of \[3\mu F\] and \[5\mu F\] capacitances are charged to 300 V and 500V respectively. The energy loss, when they are connected by a wire is  [CPMT 1999; KCET 2000; Pb. PMT 1999, 2001]
  A)
             0.012 J                                      done clear
  B)
             0.0218 J done clear
  C)
             0.0375 J done clear
  D)
                                       3.75 J done clear
  View Solution play_arrow

• question_answer117)
  Two conducting spheres of radii 5 cm and 10 cm are given a charge of \[15\mu C\] each. After the two spheres are joined by a conducting wire, the charge on the smaller sphere is [AMU (Engg.) 2001]
  A)
             \[5\ \mu C\]                          done clear
  B)
             \[10\mu C\] done clear
  C)
             \[15\mu C\]                           done clear
  D)
             \[20\mu C\] done clear
  View Solution play_arrow

• question_answer118)
  In a parallel plate capacitor of capacitance C, a metal sheet is inserted between the plates, parallel to them. If the thickness of the sheet is half of the separation between the plates. The capacitance will be         [KCET 2001]
  A)
             \[\frac{C}{2}\]                      done clear
  B)
             \[\frac{3C}{4}\] done clear
  C)
             \[4C\]                                       done clear
  D)
             \[2C\] done clear
  View Solution play_arrow

• question_answer119)
  While a capacitor remains connected to a battery and dielectric slab is applied between the plates, then                                                                                                              [KCET 2001]
  A)
             Potential difference between the plates is changed done clear
  B)
             Charge flows from the battery to the capacitor done clear
  C)
             Electric field between the plates increases done clear
  D)
             Energy store in the capacitor decreases done clear
  View Solution play_arrow

• question_answer120)
  A body of capacity \[4\,\mu \,F\] is charged to \[80\,V\] and another body of capacity \[6\,\mu \,F\] is charged to 30V. When they are connected the energy lost by \[4\,\mu \,F\] capacitor is [EAMCET 2001]
  A)
             7.8 mJ                                      done clear
  B)
             4.6 mJ done clear
  C)
             3.2 mJ                                      done clear
  D)
             2.5 mJ done clear
  View Solution play_arrow

• question_answer121)
  The capacity of the conductor does not depend upon [BHU 2001]
  A)
             Charge                                     done clear
  B)
             Voltage done clear
  C)
             Nature of the material      done clear
  D)
             All of these done clear
  View Solution play_arrow

• question_answer122)
  A solid conducting sphere of radius \[{{R}_{\text{1}}}\] is surrounded by another concentric hollow conducting sphere of radius \[{{R}_{\text{2}}}\]. The capacitance of this assembly is proportional to [MP PET 2001; UPSEAT 2001]
  A)
             \[\frac{{{R}_{2}}-{{R}_{1}}}{{{R}_{1}}{{R}_{2}}}\] done clear
  B)
                                       \[\frac{{{R}_{2}}+{{R}_{1}}}{{{R}_{1}}{{R}_{2}}}\] done clear
  C)
             \[\frac{{{R}_{1}}{{R}_{2}}}{{{R}_{1}}+{{R}_{2}}}\]      done clear
  D)
             \[\frac{{{R}_{1}}{{R}_{2}}}{{{R}_{2}}-{{R}_{1}}}\] done clear
  View Solution play_arrow

• question_answer123)
  Two spherical conductors A and B of radius a and b (b > a) are placed in air concentrically B is given charge + Q coulomb and A is grounded. The equivalent capacitance of these is                                            [MP PMT 2001]
  A)
             \[4\pi {{\varepsilon }_{0}}\frac{ab}{b-a}\]                   done clear
  B)
             \[4\pi {{\varepsilon }_{0}}\,(a+b)\] done clear
  C)
             \[4\pi {{\varepsilon }_{0}}b\] done clear
  D)
             \[4\pi {{\varepsilon }_{0}}\frac{{{b}^{2}}}{b-a}\] done clear
  View Solution play_arrow

• question_answer124)
  The capacity of a parallel plate condenser is \[10\,\mu \,F\], when the distance between its plates is 8 cm. If the distance between the plates is reduced to 4 cm, then the capacity of this parallel plate condenser will be              [CBSE PMT 2001]
  A)
             \[5\,\mu \,F\]                       done clear
  B)
             \[10\,\mu \,F\] done clear
  C)
             \[20\,\mu \,F\] done clear
  D)
             \[40\,\mu \,F\] done clear
  View Solution play_arrow

• question_answer125)
  A capacitor is used to store 24 watt hour of energy at 1200 volt. What should be the capacitance of the capacitor [Kerala (Engg.) 2001]
  A)
             \[120\,m\,F\] done clear
  B)
                                       \[120\,\mu \,F\] done clear
  C)
             \[24\,\mu \,F\]                    done clear
  D)
             \[24\,m\,F\] done clear
  View Solution play_arrow

• question_answer126)
  The mean electric energy density between the plates of a charged capacitor is (here \[q\]= charge on the capacitor and \[A\]= area of the capacitor plate)                                                   [MP PET 2002]
  A)
             \[\frac{{{q}^{2}}}{2{{\varepsilon }_{0}}{{A}^{2}}}\]  done clear
  B)
             \[\frac{q}{2{{\varepsilon }_{0}}{{A}^{2}}}\] done clear
  C)
             \[\frac{{{q}^{2}}}{2{{\varepsilon }_{0}}A}\]                 done clear
  D)
             None of the above done clear
  View Solution play_arrow

• question_answer127)
  A charge of \[40\mu \,C\] is given to a capacitor having capacitance \[C=10\mu \,F\]. The stored energy in ergs is                                                                                              [CPMT 2002]
  A)
             \[80\times {{10}^{-6}}\]   done clear
  B)
             800 done clear
  C)
             80   done clear
  D)
             8000 done clear
  View Solution play_arrow

• question_answer128)
  Work done by an external agent in separating the parallel plate capacitor is                                         [AIEEE 2002]
  A)
             \[CV\]                                      done clear
  B)
             \[\frac{1}{2}{{C}^{2}}V\] done clear
  C)
             \[\frac{1}{2}C{{V}^{2}}\]  done clear
  D)
             None of these done clear
  View Solution play_arrow

• question_answer129)
  A parallel plate capacitor has an electric field of \[{{10}^{5}}\,V/m\] between the plates. If the charge on the capacitor plate is \[1\mu \,C\], the force on each capacitor plate is [Orissa JEE 2002]
  A)
             \[0.5\,N\]                               done clear
  B)
             \[0.05\,N\] done clear
  C)
             \[0.005\,N\]                          done clear
  D)
             None of these done clear
  View Solution play_arrow

• question_answer130)
  A parallel plate capacitor has plate area A and separation d. It is charged to a potential difference V0. The charging battery is disconnected and the plates are pulled apart to three times the initial separation. The work required to separate the plates is                                           [Kerala PET 2002]
  A)
             \[\frac{3{{\varepsilon }_{0}}AV_{0}^{2}}{d}\] done clear
  B)
                                       \[\frac{{{\varepsilon }_{0}}AV_{0}^{2}}{2d}\] done clear
  C)
             \[\frac{{{\varepsilon }_{0}}AV_{0}^{2}}{3d}\]            done clear
  D)
             \[\frac{{{\varepsilon }_{0}}AV_{0}^{2}}{d}\] done clear
  View Solution play_arrow

• question_answer131)
  The electric field between the plates of a parallel plate capacitor when connected to a certain battery is \[{{E}_{0}}\]. If the space between the plates of the capacitor is filled by introducing a material of dielectric constant K without disturbing the battery connections, the field between the plates shall be                                             [AMU (Med.) 2002]
  A)
             \[K{{E}_{0}}\]                        done clear
  B)
             \[{{E}_{0}}\] done clear
  C)
             \[\frac{{{E}_{0}}}{K}\]       done clear
  D)
             None of the above done clear
  View Solution play_arrow

• question_answer132)
  If the distance between parallel plates of a capacitor is halved and dielectric constant is doubled then the capacitance                                                              [BHU 2001; CBSE PMT 2002]
  A)
             Decreases two times         done clear
  B)
             Increases two times done clear
  C)
             Increases four times          done clear
  D)
             Remain the same done clear
  View Solution play_arrow

• question_answer133)
  Putting a dielectric substance between two plates of condenser, capacity, potential and potential energy respectively                                                                      [AFMC 2002]
  A)
             Increase, decrease, decrease done clear
  B)
             Decrease, increase, increase done clear
  C)
             Increase, increase, increase done clear
  D)
             Decrease, decrease, decrease done clear
  View Solution play_arrow

• question_answer134)
  A thin metal plate P is inserted half way between the plates of a parallel plate capacitor of capacitance C in such a way that it is parallel to the two plates. The capacitance now becomes                                            [Orissa JEE 2002]
  A)
             C     done clear
  B)
             C/2 done clear
  C)
             4C   done clear
  D)
             None of these done clear
  View Solution play_arrow

• question_answer135)
  If there are n capacitors in parallel connected to V volt source, then the energy stored is equal to             [AIEEE 2002]
  A)
             CV  done clear
  B)
             \[\frac{1}{2}nC{{V}^{2}}\] done clear
  C)
             \[C{{V}^{2}}\]                       done clear
  D)
             \[\frac{1}{2n}C{{V}^{2}}\] done clear
  View Solution play_arrow

• question_answer136)
  If n drops, each of capacitance C, coalesce to form a single big drop, then the ratio of the energy stored in the big drop to that in each small drop will be                          [UPSEAT 2002]
  A)
             \[n:\text{ 1}\]                       done clear
  B)
             \[{{n}^{\text{1}/\text{3}}}:\text{ 1}\] done clear
  C)
             \[{{n}^{\text{5}/\text{3}}}:\text{ 1}\]                            done clear
  D)
             \[{{n}^{\text{2}}}:\text{ 1}\] done clear
  View Solution play_arrow

• question_answer137)
  A conducting sphere of radius 10cm is charged \[10\mu \,C\]. Another uncharged sphere of radius 20 cm is allowed to touch it for some time. After that if the sphere are separated, then surface density of charges, on the spheres will be in the ratio of                                                                  [AIIMS 2002]
  A)
             1 : 4                                           done clear
  B)
             1 : 3 done clear
  C)
             2 : 1                                           done clear
  D)
             1 : 1 done clear
  View Solution play_arrow

• question_answer138)
  64 small drops of mercury, each of radius r and charge q coalesce to form a big drop. The ratio of the surface density of charge of each small drop with that of the big drop is [KCET 2002]
  A)
             1 : 64                                         done clear
  B)
             64 : 1 done clear
  C)
             4 : 1                                           done clear
  D)
             1 : 4 done clear
  View Solution play_arrow

• question_answer139)
  Capacitance (in F) of a spherical conductor with radius 1m is                                                        [AIEEE 2002]
  A)
             \[1.1\times {{10}^{-10}}\] done clear
  B)
                                       \[{{10}^{-6}}\] done clear
  C)
             \[9\times {{10}^{-9}}\]      done clear
  D)
             \[{{10}^{-3}}\] done clear
  View Solution play_arrow

• question_answer140)
  A condenser has a capacity \[2\mu \,F\] and is charged to a voltage of 50 V. The energy stored is              [MH CET 2002]
  A)
             \[\text{25}\times \text{1}{{0}^{\text{5}}}Joule\] done clear
  B)
                                       25 Joule done clear
  C)
             25 ´ 10 erg                             done clear
  D)
             \[\text{25}\times \text{1}{{0}^{\text{3}}}erg\] done clear
  View Solution play_arrow

• question_answer141)
  The energy required to charge a capacitor of \[5\,\mu \,F\] by connecting a d.c. source of 20 kV is            [Pb. PMT 2002]
  A)
             10 kJ                                         done clear
  B)
             5 kJ done clear
  C)
             2 kJ done clear
  D)
             1 kJ done clear
  View Solution play_arrow

• question_answer142)
  The capacitance of a parallel plate capacitor is \[12\,\mu \,F\]. If the distance between the plates is doubled and area is halved, then new capacitance will be                                                                  [MH CET 2002]
  A)
             \[8\,\mu \,F\]                       done clear
  B)
             \[6\,\mu \,F\] done clear
  C)
             \[4\,\mu \,F\]                       done clear
  D)
             \[3\,\mu \,F\] done clear
  View Solution play_arrow

• question_answer143)
  A capacitor of capacitance \[6\mu \,F\] is charged upto 100 volt. The energy stored in the capacitor is [BHU 2003; CPMT 2004; MP PMT 2005]
  A)
             0.6 Joule done clear
  B)
                                       0.06 Joule done clear
  C)
                     0.03 Joule                        done clear
  D)
             0.3 Joule done clear
  View Solution play_arrow

• question_answer144)
  A parallel plate air capacitor is charged and then isolated. When a dielectric material is inserted between the plates of the capacitor, then which of the following does not change [Orissa JEE 2003]
  A)
             Electric field between the plates done clear
  B)
             Potential difference across the plates done clear
  C)
             Charge on the plates done clear
  D)
             Energy stored in the capacitor done clear
  View Solution play_arrow

• question_answer145)
  Capacitance of a parallel plate capacitor becomes 4/3 times its original value if a dielectric slab of thickness t = d/2 is inserted between the plates (d is the separation between the plates). The dielectric constant of the slab is         [KCET 2003]
  A)
             8     done clear
  B)
             4 done clear
  C)
             6     done clear
  D)
             2 done clear
  View Solution play_arrow

• question_answer146)
  A 10 micro-farad capacitor is charged to 500 V and then its plates are joined together through a resistance of 10 ohm. The heat produced in the resistance is           [Orissa JEE 2003]
  A)
             500 J                                         done clear
  B)
             250 J done clear
  C)
             125 J                                         done clear
  D)
             1.25 J done clear
  View Solution play_arrow

• question_answer147)
  The unit of electric permittivity is                        [MP PET 2003]
  A)
             \[Volt/{{m}^{2}}\] done clear
  B)
                                       Joule/coulomb done clear
  C)
             Farad/m done clear
  D)
             Henry/m done clear
  View Solution play_arrow

• question_answer148)
  The work done in placing a charge of \[8\times {{10}^{-18}}\] coulomb on a condenser of capacity 100 micro-farad is                    [AIEEE 2003]
  A)
             \[32\times {{10}^{-32}}\,Joule\]                                       done clear
  B)
             \[16\times {{10}^{-32}}\,Joule\] done clear
  C)
             \[3.1\times {{10}^{-26}}\,Joule\]                                     done clear
  D)
             \[4\times {{10}^{-10}}\,Joule\] done clear
  View Solution play_arrow

• question_answer149)
  64 drops of mercury each charged to a potential of \[10V\]. They are combined to form one bigger drop. The potential of this drop will be (Assume all the drops to be spherical) [MP PET 2003]
  A)
             160 V                                        done clear
  B)
             80 V done clear
  C)
             10 V                                          done clear
  D)
             640 V done clear
  View Solution play_arrow

• question_answer150)
  A spherical drop of mercury having a potential of 2.5 V is obtained as a result of merging 125 droplets. The potential of constituent droplets would be                          [Orissa JEE 2003]
  A)
             1.0 V                                         done clear
  B)
             0.5 V done clear
  C)
             0.2 V                                         done clear
  D)
             0.1 V done clear
  View Solution play_arrow

• question_answer151)
  A parallel plate capacitor of capacity \[{{C}_{0}}\] is charged to a potential \[{{V}_{0}}\] (i)       The energy stored in the capacitor when the battery is disconnected and the separation is doubled \[{{E}_{1}}\] (ii) The energy stored in the capacitor when the charging battery is kept connected and the separation between the capacitor plates is doubled is \[{{E}_{2}}.\] Then \[{{E}_{1}}/{{E}_{2}}\] value is                                    [EAMCET 2003]
  A)
             4 done clear
  B)
             3/2 done clear
  C)
             2     done clear
  D)
             1/2 done clear
  View Solution play_arrow

• question_answer152)
  A parallel plate capacitor carries a charge \[q\]. The distance between the plates is doubled by application of a force. The work done by the force is                              [MP PET 2003]
  A)
             Zero                                          done clear
  B)
             \[\frac{{{q}^{2}}}{C}\] done clear
  C)
             \[\frac{{{q}^{2}}}{2C}\]     done clear
  D)
             \[\frac{{{q}^{2}}}{4C}\] done clear
  View Solution play_arrow

• question_answer153)
  As in figure shown, if a capacitor C is charged by connecting it with resistance R, then energy is given by the battery will be                                                                            [MP PMT 2003]
  A)
             \[\frac{1}{2}C{{V}^{2}}\] done clear
  B)
             More than\[\frac{1}{2}C{{V}^{2}}\] done clear
  C)
             Less than \[\frac{1}{2}C{{V}^{2}}\] done clear
  D)
             Zero done clear
  View Solution play_arrow

• question_answer154)
  A capacitor is charged to 200 volt it has 0.1 coulomb charge. When it is discharged, energy will be              [MP PET 2003]
  A)
             1 J done clear
  B)
                                       4 J done clear
  C)
             10 J done clear
  D)
             20 J done clear
  View Solution play_arrow

• question_answer155)
  If eight identical drops are joined to form a bigger drop, the potential on bigger as compared to that on smaller drop will be                                                                                [RPMT 2002]
  A)
             Double done clear
  B)
                                       Four times done clear
  C)
                     Eight times done clear
  D)
                                       One time done clear
  View Solution play_arrow

• question_answer156)
  If a dielectric substance is introduced between the plates of a charged air-gap capacitor. The energy of the capacitor will [MP PMT 2004]
  A)
             Increase done clear
  B)
             Decrease done clear
  C)
             Remain unchanged done clear
  D)
             First decrease and then increase done clear
  View Solution play_arrow

• question_answer157)
  A 40 mF capacitor in a defibrillator is charged to 3000 V. The energy stored in the capacitor is sent through the patient during a pulse of duration 2ms. The power delivered to the patient is                                     [AIIMS 2004]
  A)
                     45 kW                               done clear
  B)
             90 kW done clear
  C)
                     180 kW                             done clear
  D)
             360 kW done clear
  View Solution play_arrow

• question_answer158)
  A spherical drop of capacitance 1 mF is broken into eight drops of equal radius. Then, the capacitance of each small drop is ......                                                                        [KCET 2004]
  A)
                     \[\frac{1}{8}\mu F\] done clear
  B)
                                       \[8\mu F\] done clear
  C)
                     \[\frac{1}{2}\mu F\] done clear
  D)
             \[\frac{1}{4}\mu F\] done clear
  View Solution play_arrow

• question_answer159)
  An air filled parallel plate capacitor has capacity C. If distance between plates is doubled and it is immersed in a liquid then capacity becomes twice. Dielectric constant of the liquid is                                                [BCECE 2004]
  A)
                     1 done clear
  B)
                                       2 done clear
  C)
                     3                                         done clear
  D)
             4 done clear
  View Solution play_arrow

• question_answer160)
  On increasing the plate separation of a charged condenser, the energy                                 [Kerala PMT 2004]
  A)
                     Increases done clear
  B)
                                      Decreases done clear
  C)
                     Remains unchanged  done clear
  D)
             Becomes zero done clear
  View Solution play_arrow

• question_answer161)
  The energy stored in a condenser is in the form of [J & K CET 2004]
  A)
                     Kinetic energy              done clear
  B)
             Potential energy done clear
  C)
                     Elastic energy                done clear
  D)
             Magnetic energy done clear
  View Solution play_arrow

• question_answer162)
  When a dielectric material is introduced between the plates of a charges condenser, then electric field between the plates [Pb PMT 2004]
  A)
                     Remain constant done clear
  B)
                     Decreases done clear
  C)
                     Increases done clear
  D)
                     First increases then decreases done clear
  View Solution play_arrow

• question_answer163)
  When a lamp is connected in series with capacitor, then [Pb. PMT 2004]
  A)
             Lamp will not glow done clear
  B)
             Lamp will burst out done clear
  C)
                     Lamp will glow normally   done clear
  D)
             None of these done clear
  View Solution play_arrow

• question_answer164)
  If the potential of a capacitor having capacity of 6 mF is increased from 10 V to 20 V, then increase in its energy will be                                                                                            [Pb. PET 2002]
  A)
                     12 ´ 10?6 J                       done clear
  B)
             9 ´ 10?4 J done clear
  C)
                     4 ´ 10?6 J                          done clear
  D)
             4 ´ 10?9 J done clear
  View Solution play_arrow

• question_answer165)
  A 4 mF condenser is charged to 400 V and then its plates are joined through a resistance. The heat produced in the resistance is                                                                  [UPSEAT 2004]
  A)
                     0.16 J done clear
  B)
                                       0.32 J done clear
  C)
                     0.64 J done clear
  D)
                                       1.28 J done clear
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• question_answer166)
  A parallel plate capacitor having a plate separation of 2 mm is charged by connecting it to a 300 V supply. The energy density is                                                                             [BHU 2004]
  A)
                     \[0.0\text{1}\,J/{{m}^{\text{3}}}\]                          done clear
  B)
             \[0.\text{1}\,J/{{m}^{\text{3}}}\] done clear
  C)
                     \[\text{1}.0\,J/{{m}^{\text{3}}}\]                            done clear
  D)
             \[\text{1}0J/{{m}^{\text{3}}}\] done clear
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• question_answer167)
  The capacity of an air condenser is 2.0 mF. If a medium is placed between its plates. The capacity becomes 12 mF. The dielectric constant of the medium will be       [Pb. PMT 2003]
  A)
                     5 done clear
  B)
                                       4 done clear
  C)
                     3                                         done clear
  D)
             6 done clear
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• question_answer168)
  If the distance between the plates of parallel plate capacitor is halved and the dielectric constant of dielectric is doubled, then its capacity will [MH CET 2003]
  A)
                     Increase by 16 times  done clear
  B)
             Increase by 4 times done clear
  C)
                     Increase by 2 times    done clear
  D)
             Remain the same done clear
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• question_answer169)
  Two metallic spheres of radii \[1\,cm\] and \[2\,cm\] are given charges \[{{10}^{-2}}\,C\] and \[5\times {{10}^{-2}}C\] respectively. If they are connected by a conducting wire, the final charge on the smaller sphere is                                               [CBSE PMT 1995]
  A)
                     \[3\times {{10}^{-2}}C\]   done clear
  B)
             \[1\times {{10}^{-2}}C\] done clear
  C)
                     \[4\times {{10}^{-2}}C\]   done clear
  D)
             \[2\times {{10}^{-2}}C\] done clear
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• question_answer170)
  The potentials of the two plates of capacitor are +10V and ?10 V. The charge on one of the plates is 40 C. The capacitance of the capacitor is                                  [AFMC 2005]
  A)
             2 F done clear
  B)
                                       4 F done clear
  C)
             0.5 F                                          done clear
  D)
             0.25 F done clear
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• question_answer171)
  The potential to which a conductor is raised, depends on [KCET 2005]
  A)
             The amount of charge done clear
  B)
             Geometry and size of the conductor done clear
  C)
             Both (a) and (b) done clear
  D)
                  Only on (a) done clear
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