JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank

done Electric Flux and Gausss Law Total Questions - 28

• question_answer1)
  A cylinder of radius R and length L is placed in a uniform electric field E parallel to the cylinder axis. The total flux for the surface of the cylinder is given by [CPMT 1975; RPMT 2002; KCET 2004]
  A)
                                                   done clear
  B)
             done clear
  C)
                     done clear
  D)
                                       Zero done clear
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• question_answer2)
  Electric field at a point varies as  for
  A)
                     An electric dipole done clear
  B)
                     A point charge done clear
  C)
                     A plane infinite sheet of charge done clear
  D)
                     A line charge of infinite length done clear
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• question_answer3)
  An electric charge is placed at the centre of a cube of side . The electric flux on one of its faces will be                                     [MP PMT 1994, 95; DCE 1999, 2001; AIIMS 2001]
  A)
                                                       done clear
  B)
                                       done clear
  C)
                     done clear
  D)
                                       done clear
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• question_answer4)
  Total electric flux coming out of a unit positive charge put in air is                                              [MP PET 1995]
  A)
                     done clear
  B)
                                       done clear
  C)
                     done clear
  D)
                                       done clear
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• question_answer5)
  For a given surface the Gauss's law is stated as . From this we can conclude that                           [MP PMT 1995]
  A)
                      is necessarily zero on the surface done clear
  B)
                      is perpendicular to the surface at every point done clear
  C)
                     The total flux through the surface is zero done clear
  D)
                     The flux is only going out of the surface done clear
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• question_answer6)
  A cube of side  is placed in a uniform field , where . The net electric flux through the cube is                                                                                     [Haryana CEE 1996]
  A)
                                                       Zero done clear
  B)
                                       done clear
  C)
                     done clear
  D)
                                       done clear
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• question_answer7)
  Eight dipoles of charges of magnitude  are placed inside a cube. The total electric flux coming out of the cube will be [MP PMT/PET 1998]
  A)
                     done clear
  B)
                                         done clear
  C)
                     done clear
  D)
                                       Zero done clear
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• question_answer8)
  A point charge  is placed at the centre of a cube of side . The electric flux emerging from the cube is                                                [CBSE PMT 1996; BCECE 2003; AIEEE 2002]
  A)
                     done clear
  B)
                                       Zero done clear
  C)
                     done clear
  D)
                                       done clear
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• question_answer9)
  A charge  is placed at the centre of the open end of cylindrical vessel. The flux of the electric field through the surface of the vessel is                                                 [MNR 1998]
  A)
                     Zero done clear
  B)
                                       done clear
  C)
                     done clear
  D)
                                       done clear
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• question_answer10)
  It is not convenient to use a spherical Gaussian surface to find the electric field due to an electric dipole using Gauss?s theorem because                                          [AMU 2000]
  A)
             Gauss?s law fails in this case done clear
  B)
             This problem does not have spherical symmetry done clear
  C)
             Coulomb?s law is more fundamental than Gauss?s law done clear
  D)
             Spherical Gaussian surface will alter the dipole moment done clear
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• question_answer11)
  According to Gauss? Theorem, electric field of an infinitely long straight wire is proportional to                                                                               [RPET 2000; DCE 2000]
  A)
             r      done clear
  B)
             done clear
  C)
             done clear
  D)
             done clear
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• question_answer12)
  Electric charge is uniformly distributed along a long straight wire of radius 1mm. The charge per cm length of the wire is Q coulomb. Another cylindrical surface of radius 50 cm and length 1m symmetrically encloses the wire as shown in the figure. The total electric flux passing through the cylindrical surface is                                             [MP PET 2001]
  A)
             done clear
  B)
             done clear
  C)
             done clear
  D)
             done clear
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• question_answer13)
  The S.I. unit of electric flux is                                     [KCET 2001]
  A)
             Weber done clear
  B)
                                       Newton per coulomb done clear
  C)
             Volt ´ metre                          done clear
  D)
             Joule per coulomb done clear
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• question_answer14)
   and  are point charges located at points as shown in the figure and  is a spherical Gaussian surface of radius R. Which of the following is true according to the Gauss?s law                                        [AMU 2002]
  A)
             done clear
  B)
             done clear
  C)
             done clear
  D)
             None of the above done clear
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• question_answer15)
  Gauss?s law should be invalid if                         [Orissa JEE 2002]
  A)
             There were magnetic monopoles done clear
  B)
             The inverse square law were not exactly true done clear
  C)
             The velocity of light were not a universal constant done clear
  D)
             None of these done clear
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• question_answer16)
  The inward and outward electric flux for a closed surface in units of  are respectively  and  Then the total charge inside the surface is [where  permittivity constant] [KCET 2003; MP PMT 2002]
  A)
              C done clear
  B)
                                        C done clear
  C)
              C done clear
  D)
                                       C done clear
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• question_answer17)
  A charge  is placed at the centre of a cube. Then the flux passing through one face of cube will be                                                   [RPET 2003; MP PET 2003; UPSEAT 2004]
  A)
             done clear
  B)
             done clear
  C)
                                                       done clear
  D)
             done clear
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• question_answer18)
  If a spherical conductor comes out from the closed surface of the sphere then total flux emitted from the surface will be [RPET 2003]
  A)
              (the charge enclosed by surface) done clear
  B)
              (charge enclosed by surface) done clear
  C)
              (charge enclosed by surface) done clear
  D)
             0 done clear
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• question_answer19)
  If the electric flux entering and leaving an enclosed surface respectively is  and  the electric charge inside the surface will be                                                                 [AIEEE 2003]
  A)
             done clear
  B)
                                       done clear
  C)
             done clear
  D)
                                       done clear
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• question_answer20)
  A charge q is located at the centre of a cube. The electric flux through any face is                                              [CBSE PMT 2003]
  A)
             done clear
  B)
                                       done clear
  C)
             done clear
  D)
                                       done clear
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• question_answer21)
  Shown below is a distribution of charges. The flux of electric field due to these charges through the surface S is                                                                                              [AIIMS 2003]
  A)
                                                    done clear
  B)
             done clear
  C)
                                                      done clear
  D)
             Zero done clear
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• question_answer22)
  Consider the charge configuration and spherical Gaussian surface as shown in the figure. When calculating the flux of the electric field over the spherical surface the electric field will be due to                                            [IIT-JEE Screening 2004]
  A)
             done clear
  B)
             Only the positive charges done clear
  C)
                     All the charges done clear
  D)
                      and done clear
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• question_answer23)
  Gauss's law is true only if force due to a charge varies as [MP PMT 2004]  
  A)
  done clear
  B)
  done clear
  C)
  done clear
  D)
  done clear
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• question_answer24)
  An electric dipole is put in north-south direction in a sphere filled with water. Which statement is correct      [MP PET 1995]
  A)
                     Electric flux is coming towards sphere done clear
  B)
                     Electric flux is coming out of sphere done clear
  C)
             Electric flux entering into sphere and leaving the sphere are same done clear
  D)
             Water does not permit electric flux to enter into sphere done clear
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• question_answer25)
  Two infinite plane parallel sheets separated by a distance  have equal and opposite uniform charge densities . Electric field at a point between the sheets is [MP PET 1999]
  A)
                     Zero done clear
  B)
                     done clear
  C)
                     done clear
  D)
                     Depends upon the location of the point done clear
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• question_answer26)
  The electric flux for Gaussian surface A that enclose the charged particles in free space is (given )                                                                 [KCET 2005]
  A)
             done clear
  B)
             done clear
  C)
             done clear
  D)
               done clear
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• question_answer27)
  The electric intensity due to an infinite cylinder of radius  and having charge q per unit length at a distance from its axis is                                  [MP PMT 1993; AFMC 2000]
  A)
                     Directly proportional to done clear
  B)
                     Directly proportional to   done clear
  C)
                     Inversely proportional to r done clear
  D)
                     Inversely proportional to done clear
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• question_answer28)
  A sphere of radius R has a uniform distribution of electric charge in its volume. At a distance x from its centre, for , the electric field is directly proportional to [MP PMT 1994; AIIMS 1997; BCECE 2005]
  A)
                     done clear
  B)
                                         done clear
  C)
                     done clear
  D)
                                       done clear
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