JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank

done Electric Dipole Total Questions - 39

• question_answer1)
  An electric dipole when placed in a uniform electric field \[E\] will have minimum potential energy, if the positive direction of dipole moment makes the following angle with \[E\] [CPMT 1981; MP PMT 1987]
  A)
                     \[\pi \]                             done clear
  B)
             \[\pi /2\] done clear
  C)
                     Zero done clear
  D)
                                       \[3\pi /2\] done clear
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• question_answer2)
  A given charge is situated at a certain distance from an electric dipole in the end-on position experiences a force F. If the distance of the charge is doubled, the force acting on the charge will be                                        [MNR 1986]
  A)
                     2F done clear
  B)
                                       F / 2 done clear
  C)
                     F / 4 done clear
  D)
                                       F / 8 done clear
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• question_answer3)
  The electric potential at a point on the axis of an electric dipole depends on the distance \[r\] of the point from the dipole as                                                      [CPMT 1982; UPSEAT 2001 MP PMT 1996, 2002; MP PET 2001, 05]
  A)
                     \[\propto \frac{1}{r}\] done clear
  B)
                                       \[\propto \frac{1}{{{r}^{2}}}\] done clear
  C)
                     \[\propto r\] done clear
  D)
                                       \[\propto \frac{1}{{{r}^{3}}}\] done clear
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• question_answer4)
  An electric dipole of moment \[p\] is placed in the position of stable equilibrium in uniform electric field of intensity \[E\]. It is rotated through an angle \[\theta \] from the initial position. The potential energy of electric dipole in the final position is [MP PET 1993]
  A)
                     \[pE\cos \theta \] done clear
  B)
                                       \[pE\sin \theta \] done clear
  C)
                     \[pE(1-\cos \theta )\] done clear
  D)
                                       \[-pE\cos \theta \] done clear
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• question_answer5)
  An electric dipole is kept in non-uniform electric field. It experiences                      [AIIMS 2003; DCE 2001]
  A)
                     A force and a torque done clear
  B)
             A force but not a torque done clear
  C)
                     A torque but not a force done clear
  D)
             Neither a force nor a torque done clear
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• question_answer6)
  An electric dipole consisting of two opposite charges of \[2\times {{10}^{-6}}C\] each separated by a distance of \[3\,cm\] is placed in an electric field of \[2\times {{10}^{5}}\] N/C. The maximum torque on the dipole will be                                                                 [MP PMT 1987]
  A)
                     \[12\times {{10}^{-1}}N\,m\] done clear
  B)
                                       \[12\times {{10}^{-3}}N\,m\] done clear
  C)
                     \[24\times {{10}^{-1}}N\,m\] done clear
  D)
                                       \[24\times {{10}^{-3}}N\,m\] done clear
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• question_answer7)
  An electric dipole of moment \[\overrightarrow{p}\] is placed normal to the lines of force of electric intensity \[\overrightarrow{E}\], then the work done in deflecting it through an angle of \[180{}^\circ \] is              [BVP 2003]
  A)
                     \[pE\] done clear
  B)
                                       \[+\,2pE\] done clear
  C)
                     \[-2pE\] done clear
  D)
                                       Zero done clear
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• question_answer8)
  The distance between the two charges \[+q\] and \[-q\] of a dipole is \[r\]. On the axial line at a distance \[d\] from the centre of dipole, the intensity is proportional to [CPMT 1977]
  A)
                     \[\frac{q}{{{d}^{2}}}\] done clear
  B)
                                       \[\frac{qr}{{{d}^{2}}}\] done clear
  C)
                     \[\frac{q}{{{d}^{3}}}\] done clear
  D)
                                       \[\frac{qr}{{{d}^{3}}}\] done clear
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• question_answer9)
  An electron and a proton are at a distance of \[1{AA}\]. The moment of this dipole will be (C ´ m)          [CPMT 1984]
  A)
                     \[1.6\times {{10}^{19}}\] done clear
  B)
                                       \[1.6\times {{10}^{-29}}\] done clear
  C)
                     \[3.2\times {{10}^{19}}\] done clear
  D)
                                       \[3.2\times {{10}^{29}}\] done clear
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• question_answer10)
  The electric field due to a dipole at a distance\[r\] on its axis is [MP PMT 1993; RPET 2001;                                         MP PET/PMT 2002; BCECE 2003]
  A)
                     Directly proportional to \[{{r}^{3}}\] done clear
  B)
                     Inversely proportional to \[{{r}^{3}}\] done clear
  C)
                     Directly proportional to \[{{r}^{2}}\] done clear
  D)
                     Inversely proportional to \[{{r}^{2}}\] done clear
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• question_answer11)
  Two charges\[+3.2\times {{10}^{-19}}\] and \[-3.2\times {{10}^{-19}}C\] placed at \[2.4{AA}\] apart form an electric dipole. It is placed in a uniform electric field of intensity \[4\times {{10}^{5}}\,volt/m\]. The electric dipole moment is
  A)
                     \[15.36\times {{10}^{-29}}\ coulomb\times m\] done clear
  B)
                     \[15.36\times {{10}^{-19}}\ coulomb\times m\] done clear
  C)
                     \[7.68\times {{10}^{-29}}\ coulomb\times m\] done clear
  D)
                     \[7.68\times {{10}^{-19}}\ coulomb\times m\] done clear
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• question_answer12)
  An electric dipole of moment \[p\]is placed at the origin along the \[x\]-axis. The electric field at a point \[P\], whose position vector makes an angle\[\theta \]with the \[x\]-axis, will make an angle ..... with the \[x\]-axis, where \[\tan \alpha =\frac{1}{2}\tan \theta \]     [MP PMT 1994]
  A)
                     \[\alpha \] done clear
  B)
                                       \[\theta \] done clear
  C)
                     \[\theta +\alpha \] done clear
  D)
                                       \[\theta +2\alpha \] done clear
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• question_answer13)
  An electric dipole is placed along the \[x-\]axis at the origin \[O\]. A point \[P\] is at a distance of \[20\,cm\] from this origin such that \[OP\] makes an angle \[\frac{\pi }{3}\] with the x-axis. If the electric field at \[P\] makes an angle \[\theta \] with the x-axis, the value of \[\theta \] would be                                       [MP PMT 1997]
  A)
                     \[\frac{\pi }{3}\] done clear
  B)
                                       \[\frac{\pi }{3}+{{\tan }^{-1}}\left( \frac{\sqrt{3}}{2} \right)\] done clear
  C)
                     \[\frac{2\pi }{3}\] done clear
  D)
                                       \[{{\tan }^{-1}}\left( \frac{\sqrt{3}}{2} \right)\] done clear
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• question_answer14)
  Electric charges \[q,\,q,\,-2q\] are placed at the corners of an equilateral triangle \[ABC\] of side \[l\]. The magnitude of electric dipole moment of the system is    [MP PMT 1994]
  A)
                     \[ql\] done clear
  B)
                                       \[2ql\] done clear
  C)
                     \[\sqrt{3}ql\]                                  done clear
  D)
                                       \[4ql\] done clear
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• question_answer15)
  The torque acting on a dipole of moment \[\overrightarrow{P}\] in an electric field \[\overrightarrow{E}\] is       [MP PMT 1994; CPMT 2001]
  A)
                     \[\overrightarrow{P}\cdot \overrightarrow{E}\] done clear
  B)
                                       \[\overrightarrow{P}\times \overrightarrow{E}\] done clear
  C)
                     Zero done clear
  D)
                                       \[\overrightarrow{E}\times \overrightarrow{P}\] done clear
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• question_answer16)
  The electric field at a point on equatorial line of a dipole and direction of the dipole moment                       [MP PET 1995]
  A)
                     Will be parallel done clear
  B)
                     Will be in opposite direction done clear
  C)
                     Will be perpendicular done clear
  D)
                     Are not related done clear
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• question_answer17)
  Two opposite and equal charges \[4\times {{10}^{-8}}coulomb\] when placed \[2\times {{10}^{-2}}cm\] away, form a dipole. If this dipole is placed in an external electric field \[4\times {{10}^{8}}newton/coulomb\], the value of maximum torque and the work done in rotating it through \[180{}^\circ \] will be                                   [MP PET 1996]
  A)
                     \[64\times {{10}^{-4}}Nm\] and \[64\times {{10}^{-4}}J\] done clear
  B)
                     \[32\times {{10}^{-4}}\]Nm and \[32\times {{10}^{-4}}J\] done clear
  C)
                     \[64\times {{10}^{-4}}Nm\] and \[32\times {{10}^{-4}}J\] done clear
  D)
                     \[32\times {{10}^{-4}}Nm\] and \[64\times {{10}^{-4}}J\] done clear
  View Solution play_arrow

• question_answer18)
  If \[{{E}_{a}}\] be the electric field strength of a short dipole at a point on its axial line and \[{{E}_{e}}\] that on the equatorial line at the same distance, then [MP PET 1999; J & K CET 2004]
  A)
                     \[{{E}_{e}}=2{{E}_{a}}\] done clear
  B)
                                       \[{{E}_{a}}=2{{E}_{e}}\] done clear
  C)
                     \[{{E}_{a}}={{E}_{e}}\] done clear
  D)
                                       None of the above done clear
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• question_answer19)
  An electric dipole is placed in an electric field generated by a point charge                                            [MP PMT 1999]
  A)
             The net electric force on the dipole must be zero done clear
  B)
                     The net electric force on the dipole may be zero done clear
  C)
                     The torque on the dipole due to the field must be zero done clear
  D)
                     The torque on the dipole due to the field may be zero done clear
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• question_answer20)
  A point \[Q\] lies on the perpendicular bisector of an electrical dipole of dipole moment \[p\]. If the distance of \[Q\] from the dipole is \[r\] (much larger than the size of the dipole), then electric field at \[Q\] is proportional to                                                            [CBSE PMT 1998; JIPMER 2001, 02]
  A)
                     \[{{p}^{-1}}\] and \[{{r}^{-2}}\]                                 done clear
  B)
             \[p\] and \[{{r}^{-2}}\] done clear
  C)
                     \[{{p}^{-1}}\] and \[{{r}^{-2}}\] done clear
  D)
                                       \[p\] and \[{{r}^{-3}}\]       done clear
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• question_answer21)
  If the magnitude of intensity of electric field at a distance \[x\] on axial line and at a distance \[y\] on equatorial line on a given dipole are equal, then \[x:y\] is     [EAMCET 1994]
  A)
                     \[1:1\] done clear
  B)
                                       \[1:\sqrt{2}\] done clear
  C)
                     \[1:2\] done clear
  D)
                                       \[\sqrt[3]{2}:1\] done clear
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• question_answer22)
  An electric dipole in a uniform electric field experiences (When it is placed at an angle \[\theta \] with the field)                   [RPET 2000]
  A)
             Force and torque both     done clear
  B)
             Force but no torque done clear
  C)
             Torque but no force          done clear
  D)
             No force and no torque done clear
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• question_answer23)
  The electric intensity due to a dipole of length 10 cm and having a charge of \[500\mu C\], at a point on the axis at a distance 20 cm from one of the charges in air, is [CBSE PMT 2001]
  A)
             \[6.25\times {{10}^{7}}\] N/C done clear
  B)
                                       \[9.28\times {{10}^{7}}\] N/C done clear
  C)
             \[13.1\times {{11}^{11}}\] N/C done clear
  D)
                                       \[20.5\times {{10}^{7}}\] N/C done clear
  View Solution play_arrow

• question_answer24)
  Electric potential at an equatorial point of a small dipole with dipole moment \[P\](r, distance from the dipole) is                                                                                          [MP PMT 2001]
  A)
             Zero done clear
  B)
             \[\frac{P}{4\pi {{\varepsilon }_{0}}{{r}^{2}}}\] done clear
  C)
             \[\frac{P}{4\pi {{\varepsilon }_{0}}{{r}^{3}}}\]            done clear
  D)
             \[\frac{2P}{4\pi {{\varepsilon }_{0}}{{r}^{3}}}\] done clear
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• question_answer25)
  The distance between \[{{H}^{+}}\] and \[C{{l}^{-}}\] ions in HCl molecule is 1.28 Å. What will be the potential due to this dipole at a distance of 12 Å on the axis of dipole [MP PMT 2002]
  A)
             0.13 V done clear
  B)
             1.3 V done clear
  C)
             13 V                                          done clear
  D)
             130 V done clear
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• question_answer26)
  The potential at a point due to an electric dipole will be maximum and minimum when  the angles between the axis of the dipole and the line joining the point to the dipole are respectively                                              [MP PMT 2002]
  A)
             \[{{90}^{o}}\] and \[{{180}^{o}}\] done clear
  B)
                                       \[{{0}^{o}}\] and \[{{90}^{o}}\] done clear
  C)
             \[{{90}^{o}}\] and \[{{0}^{o}}\] done clear
  D)
                                       \[{{0}^{o}}\] and \[{{180}^{o}}\] done clear
  View Solution play_arrow

• question_answer27)
  The value of electric potential at any point due to any electric dipole is                                   [MP PMT 2004]
  A)
             \[k.\frac{\overrightarrow{p}\times \overrightarrow{r}}{{{r}^{2}}}\]              done clear
  B)
             \[k.\frac{\overrightarrow{p}\times \overrightarrow{r}}{{{r}^{3}}}\] done clear
  C)
                     \[k.\frac{\overrightarrow{p}\cdot \overrightarrow{r}}{{{r}^{2}}}\] done clear
  D)
                                            \[k.\frac{\overrightarrow{p}\cdot \overrightarrow{r}}{{{r}^{3}}}\] done clear
  View Solution play_arrow

• question_answer28)
  An electric dipole has the magnitude of its charge as q and its dipole moment is p. It is placed in a uniform electric field E. If its dipole moment is along the direction of the field, the force on it and its potential energy are respectively [CBSE PMT 2004]
  A)
                     \[2q\cdot E\] and minimum                                       done clear
  B)
             \[q\cdot E\] and \[p\cdot E\] done clear
  C)
             Zero and minimum             done clear
  D)
             \[q\cdot E\] and maximum done clear
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• question_answer29)
  Intensity of an electric field E due to a dipole, depends on distance r as                                  [Pb. PMT 2004]
  A)
             \[E\propto \frac{1}{{{r}^{4}}}\]                                         done clear
  B)
             \[E\propto \frac{1}{{{r}^{3}}}\] done clear
  C)
                     \[E\propto \frac{1}{{{r}^{2}}}\] done clear
  D)
                                       \[E\propto \frac{1}{r}\] done clear
  View Solution play_arrow

• question_answer30)
  The ratio of electric fields on the axis and at equator of an electric dipole will be                                [RPMT 2002]
  A)
                     1 : 1 done clear
  B)
                                       2 : 1 done clear
  C)
                     4 : 1 done clear
  D)
                                       None of these done clear
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• question_answer31)
  For a dipole \[q=2\times {{10}^{-6}}\,C\] and \[d=0.01\,m\]. Calculate the maximum torque for this dipole if \[E=5\times {{10}^{5}}\,N/C\]                                                                                              [RPMT 2003]
  A)
                     \[1\times {{10}^{-3}}N{{m}^{-1}}\] done clear
  B)
                                       \[10\times {{10}^{-3}}N{{m}^{-1}}\] done clear
  C)
                     \[10\times {{10}^{-3}}Nm\] done clear
  D)
                                       \[1\times {{10}^{2}}N{{m}^{2}}\] done clear
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• question_answer32)
  A molecule with a dipole moment p is placed in an electric field of strength E. Initially the dipole is aligned parallel to the field. If the dipole is to be rotated to be anti-parallel to the field, the work required to be done by an external agency is                                                    [UPSEAT 2004]
  A)
                     ? 2pE done clear
  B)
                                       ? pE done clear
  C)
                     pE done clear
  D)
                                       2pE done clear
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• question_answer33)
  An electric dipole of moment \[\overrightarrow{p}\] placed in a uniform electric field \[\overrightarrow{E}\] has minimum potential energy when the angle between \[\overrightarrow{p}\] and \[\overrightarrow{E}\] is                                                                         [UPSEAT 2004]
  A)
                     Zero            done clear
  B)
                                       \[\frac{\pi }{2}\] done clear
  C)
                     \[\pi \] done clear
  D)
                                       \[\frac{3\pi }{2}\] done clear
  View Solution play_arrow

• question_answer34)
  A region surrounding a stationary electric dipoles has [MP PET 1994]
  A)
                     Magnetic field only done clear
  B)
                     Electric field only done clear
  C)
                     Both electric and magnetic fields done clear
  D)
                     No electric and magnetic fields done clear
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• question_answer35)
  Two electric dipoles of moment P and 64 P are placed in opposite direction on a line at a distance of 25 cm. The electric field will be zero at point between the dipoles whose distance from the dipole of moment P is [MP PET 2003]
  A)
             5 cm done clear
  B)
                                       \[\frac{25}{9}\]cm done clear
  C)
             10 cm                                       done clear
  D)
             \[\frac{4}{13}\] cm done clear
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• question_answer36)
  When an electric dipole \[\overrightarrow{P}\] is placed in a uniform electric field \[\overrightarrow{E}\] then at what angle between \[\overrightarrow{P}\] and \[\overrightarrow{E}\] the value of torque will be maximum                                                                             [MP PET 2002]
  A)
             \[{{90}^{o}}\] done clear
  B)
             \[{{0}^{o}}\] done clear
  C)
             \[{{180}^{o}}\]                     done clear
  D)
             \[{{45}^{o}}\] done clear
  View Solution play_arrow

• question_answer37)
  Two charges \[+3.2\times {{10}^{-19}}C\] and \[-3.2\times {{10}^{-9}}C\] kept 2.4 Å apart forms a dipole. If it is kept in uniform electric field of intensity \[4\times {{10}^{5}}volt/m\] then what will be its electrical energy in equilibrium                                                                       [MP PMT 2003]
  A)
             \[+3\times {{10}^{-23}}J\] done clear
  B)
                                       \[-3\times {{10}^{-23}}J\] done clear
  C)
             \[-6\times {{10}^{-23}}J\] done clear
  D)
                                       \[-2\times {{10}^{-23}}J\] done clear
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• question_answer38)
  What is the angle between the electric dipole moment and the electric field strength due to it on the equatorial line [AFMC 2005]
  A)
             \[{{0}^{\text{o}}}\] done clear
  B)
                                       \[\text{9}0{}^\circ \] done clear
  C)
             \[\text{18}{{0}^{\text{o}}}\] done clear
  D)
             None of these done clear
  View Solution play_arrow

• question_answer39)
  The electric field due to an electric dipole at a distance r from its centre in axial position is E. If the dipole is rotated through an angle of \[\text{9}0{}^\circ \]about its perpendicular axis, the electric field at the same point will be                     [J & K CET 2005]
  A)
             E done clear
  B)
                                       E / 4 done clear
  C)
                  E / 2       done clear
  D)
                  2E done clear
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