12th Class Physics Electrostatics & Capacitance Question Bank

done MCQ - Electrostatic Potential and Capacitance Total Questions - 134

• question_answer1)
  Which of the following statement is not true?
  A)
  Electrostatic force is a conservative force done clear
  B)
  Potential energy of charge q at a point is the work done per unit charge in bringing a charge from any point to infinity done clear
  C)
  Spring force and gravitational force are conservative force done clear
  D)
  Both a and c done clear
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• question_answer2)

  This question contains Statement-1 and Statement-2. Of the four choices given after the statements, choose the one that best describes the two statements.

  Statement 1: For a charged particle moving from point P to point Q, the net work done by an electrostatic field on the particle is independent of the path connecting point P to point Q.

  Statement 2: The net work done by a conservative force on an object moving along a closed loop is zero.

  A)
  Statement-1 is true, Statement-2 is false                done clear
  B)
  Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1          done clear
  C)
  Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement-1  done clear
  D)
  Statement-1 is false, Statement-2 is true               done clear
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• question_answer3)
  Work done in bringing a unit positive charge from infinity to a point is:
  A)
  potential energy done clear
  B)
  electrostatic potential     done clear
  C)
  electric field             done clear
  D)
  work            done clear
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• question_answer4)
       Which of the following is true about electrostatic potential? :
  A)
  It is conservative in nature             done clear
  B)
  It is the ratio of work and charge done clear
  C)
  Both (a) and (b)      done clear
  D)
     It is not conservative in nature   done clear
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• question_answer5)
         1 volt is equivalent to:
  A)
  \[\frac{newton}{\sec ond}\] done clear
  B)
  \[\frac{newton}{coulomb}\] done clear
  C)
  \[\frac{joule}{coulomb}\]            done clear
  D)
  \[\frac{joule}{\sec ond}\] done clear
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• question_answer6)
  A charge Q is placed at the origin. The electric potential due to this charge at a given point in space is V. The work done by an external force in bringing another charge q from infinity upto the point is:
  A)
  V/q                   done clear
  B)
  Vq        done clear
  C)
  V+q                             done clear
  D)
  V done clear
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• question_answer7)
  Which of the following is true about electrostatic potential for a point charge?
  A)
  It is inversely proportional to distance done clear
  B)
  It is the product of charge and work done done clear
  C)
  Electric field and potential can never be equal in magnitude done clear
  D)
  Both (a) and (c) done clear
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• question_answer8)
  Which of the following is true for bringing a positive test charge close to a negative charge Q?
  A)
  W > 0, V > 0         done clear
  B)
  W < 0, V > 0 done clear
  C)
  W < 0, V < 0         done clear
  D)
                None of these done clear
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• question_answer9)
  Electric potential due to a point charge -q at distance x from it is given by:
  A)
  \[Kq/{{x}^{2}}\]                      done clear
  B)
  \[Kq/x\] done clear
  C)
  \[-Kq/{{x}^{2}}\]                     done clear
  D)
  \[-Kq/x\] done clear
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• question_answer10)
  Electrostatic potential Vat a point, distant r from a charge q varies as:
  A)
  \[\frac{q}{{{r}^{2}}}\] done clear
  B)
  \[\frac{{{q}^{2}}}{r}\] done clear
  C)
  \[\frac{q}{r}\]                            done clear
  D)
  \[\frac{{{q}^{2}}}{{{r}^{2}}}\] done clear
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• question_answer11)
  The variation potential V with r and electric field with r for a point charge is correctly shown in the graphs:
  A)
  done clear
  B)
  done clear
  C)
        done clear
  D)
  done clear
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• question_answer12)
  The potential at a point, due to a positive charge of \[100\mu C\]at a distance of 9 m, is:
  A)
  \[{{10}^{4}}V\]                       done clear
  B)
  \[{{10}^{6}}V\] done clear
  C)
  \[{{10}^{5}}V\]                       done clear
  D)
  \[{{10}^{7}}V\] done clear
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• question_answer13)
  What is the electric potential at a distance of 9 cm from 3nC?
  A)
  270 V    done clear
  B)
  3 V       done clear
  C)
  300 V                done clear
  D)
  30 V done clear
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• question_answer14)
  The electric potential at the surface of an atomic nucleus (Z = 50) of radius \[9.0\times {{10}^{-13}}cm\]is:
  A)
  \[9\times {{10}^{5}}V\]                        done clear
  B)
  \[8\times {{10}^{6}}V\] done clear
  C)
  \[80\,\,V\]                      done clear
  D)
  \[9\,V\] done clear
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• question_answer15)
  The potential at a point due to a charge of \[5\times {{10}^{-7}}C\] located 10 cm away is:
  A)
  \[3.5\times {{10}^{5}}V\]                     done clear
  B)
  \[3.5\times {{10}^{4}}V\] done clear
  C)
  \[4.5\times {{10}^{4}}V\]                     done clear
  D)
  \[4.5\times {{10}^{5}}V\] done clear
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• question_answer16)
  In the question number 15, work done in bringing a charge \[5\times {{10}^{-7}}C\]of \[4\times {{10}^{-9}}C\]from infinity to that point is:
  A)
  \[2.4\times {{10}^{-4}}J\]                     done clear
  B)
  \[1.8\times {{10}^{-4}}J\] done clear
  C)
  \[3.2\times {{10}^{-5}}J\]                     done clear
  D)
  \[4.1\times {{10}^{-5}}J\] done clear
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• question_answer17)
  The electric field intensity at a point P due to point charge q kept at point Q is \[24\,N{{C}^{-1}}\]and the electric potential at point P due to same charge is\[12\,J{{C}^{-1}}\]. The order of magnitude of charge q is:
  A)
  \[{{10}^{-6}}C\]                      done clear
  B)
  \[{{10}^{-7}}C\] done clear
  C)
  \[{{10}^{-10}}C\]                    done clear
  D)
  \[{{10}^{-9}}C\] done clear
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• question_answer18)
  How much work is required to carry a \[6\,\mu C\]charge from the negative to the positive terminal of a 9 V battery?
  A)
  \[54\times {{10}^{-3}}J\]                      done clear
  B)
  \[54\times {{10}^{-9}}J\] done clear
  C)
  \[54\times {{10}^{-6}}J\]                      done clear
  D)
  \[54\times {{10}^{-12}}J\] done clear
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• question_answer19)
  A hollow metal sphere of radius 10 cm is charged such that the potential on its surface becomes 80 V. The potential at the centre of the sphere is:
  A)
  80 V done clear
  B)
  800 V done clear
  C)
  8 V done clear
  D)
  zero             done clear
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• question_answer20)
  If a charged spherical conductor of radius 10 cm has potential Vat a point distant 5 cm from its centre, then the potential at a point distant 15 cm from the centre will be:
  A)
  2/3 V done clear
  B)
  3/2 V done clear
  C)
  3 V done clear
  D)
  1/3 V done clear
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• question_answer21)
  Which of the following is not true?
  A)
  For a point charge, the electrostatic potential varies as 1/r done clear
  B)
  For a dipole, the potential depends on the position vector and dipole moment vector done clear
  C)
  The electric dipole potential varies as 1/r at large distance done clear
  D)
  For a point charge, the electrostatic field varies as \[1/{{r}^{2}}\] done clear
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• question_answer22)
  The potential of an electric dipole vary with distance r as:
  A)
  \[\frac{1}{r}\] done clear
  B)
  \[\frac{1}{{{r}^{3}}}\] done clear
  C)
  \[\frac{1}{{{r}^{4}}}\] done clear
  D)
  \[\frac{1}{{{r}^{2}}}\] done clear
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• question_answer23)
  Which of the following is true about electrostatic potential for an electric dipole?
  A)
  It is inversely proportional to square of distance done clear
  B)
  It depends upon angle between dipole moment and distance done clear
  C)
  For distance much greater than dipole length and 1, potential of a point charge is greater than potential of a dipole done clear
  D)
  All of the above done clear
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• question_answer24)
  The electric potential due to an electric dipole at an equatorial point is:
  A)
  \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{q}{r}\] done clear
  B)
  \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{q}{{{r}^{2}}}\] done clear
  C)
  zero done clear
  D)
  \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{p}{{{r}^{2}}}\] done clear
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• question_answer25)
  The ratio of potential on the equatorial Line and on the axial line of a dipole is:
  A)
  zero       done clear
  B)
  \[\frac{1}{\left( 4\pi {{\varepsilon }_{0}} \right)}.\frac{p}{{{r}^{2}}}\] done clear
  C)
  \[\frac{W}{{{q}_{0}}}\]                                    done clear
  D)
  None of these done clear
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• question_answer26)
  A dipole is placed in a uniform electric field. Its potential energy will be minimum when the angle between its axis and field is:
  A)
  zero    done clear
  B)
                \[\pi \] done clear
  C)
  \[\frac{\pi }{2}\]                         done clear
  D)
  \[2\pi \] done clear
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• question_answer27)
  The distance between \[{{H}^{+}}\] and \[C{{l}^{-}}\]ions in HCl molecules is\[1.38\,\overset{{}^\circ }{\mathop{A}}\,\]. The potential due to this dipole at a distance of \[10\,\overset{{}^\circ }{\mathop{A}}\,\]on the axis of dipole is:
  A)
  2.1V done clear
  B)
  1.8V       done clear
  C)
  0.2V                             done clear
  D)
  \[1.2\,V\] done clear
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• question_answer28)
  A dipole is placed parallel to the electric field. If W is the work done in rotating the dipole by\[60{}^\circ \], then the work done in rotating it by \[180{}^\circ \]is:
  A)
  2W                               done clear
  B)
  3W done clear
  C)
  4W                               done clear
  D)
  \[\frac{W}{2}\] done clear
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• question_answer29)
              For system of charges, the total potential at a point depends upon:
  A)
  charges done clear
  B)
  position of point with respect to charges done clear
  C)
  nature of medium done clear
  D)
  All of the above done clear
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• question_answer30)
  Two point charges q and -2q are kept at distance d apart. At what point, potential due to the charges is zero:
  A)
  At a distance d/2 from charge q done clear
  B)
  At a distance d/2 from charge -2q done clear
  C)
  At a distance d/3 from charge q done clear
  D)
  At a distance d/3 from charge -2q done clear
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• question_answer31)
  When the separation between two charges is increased, the electric potential of the charges:
  A)
  increases done clear
  B)
  decreases   done clear
  C)
  remains the same    done clear
  D)
  may increase or decrease done clear
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• question_answer32)
  The potential at the centre of the square is:
  A)
  zero                               done clear
  B)
  \[\frac{kq}{a\sqrt{2}}\] done clear
  C)
  \[\frac{kq}{{{a}^{2}}}\]                                  done clear
  D)
  \[\frac{kq}{{{a}^{3}}}\] done clear
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• question_answer33)
  A charge +q is placed at the origin O of X-Y axes as shown in the figure. The work done in taking a charge Q from-A to B along the straight line AB is:
  A)
  \[\frac{qQ}{4\pi {{\varepsilon }_{0}}}\left( \frac{a-b}{ab} \right)\] done clear
  B)
  \[\frac{qQ}{4\pi {{\varepsilon }_{0}}}\left( \frac{b-a}{ab} \right)\] done clear
  C)
  \[\frac{qQ}{4\pi {{\varepsilon }_{0}}}\left( \frac{b}{{{a}^{2}}}-\frac{1}{b} \right)\]        done clear
  D)
  \[\frac{qQ}{4\pi {{\varepsilon }_{0}}}\left( \frac{a}{{{b}^{2}}}-\frac{1}{b} \right)\] done clear
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• question_answer34)
  The radii of two metallic spheres are 5 cm and 10 cm and both carry equal charge of\[75\mu C\]. If the two spheres are shorted, then charges will be transferred:
  A)
  \[25\mu C\]from smaller to bigger done clear
  B)
  \[25\mu C\]from bigger to smaller done clear
  C)
  \[50\mu C\]from smaller to bigger done clear
  D)
  \[50\mu C\]from bigger to smaller done clear
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• question_answer35)
  Two tiny spheres carrying charges \[1.8\,\mu C\]and \[2.8\mu C\]are located at 40 cm apart. The potential at the mid-point of the line joining the two charges is:
  A)
  \[3.8\times {{10}^{4}}\,V\]                   done clear
  B)
  \[2.1\times {{10}^{5}}V\] done clear
  C)
  \[4.3\times {{10}^{4}}V\]                     done clear
  D)
  \[3.6\times {{10}^{5}}V\] done clear
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• question_answer36)
  Three charges \[1\mu C\], \[2\mu C,\,3\mu C\]are kept at vertices of an equilateral triangle of side 1 m. If they are brought nearer, so they now form an equilateral triangle of side 0.5 m, then the work done is:
  A)
  11J                               done clear
  B)
  1.1J done clear
  C)
  0.01 J               done clear
  D)
  0.1 J done clear
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• question_answer37)
  Four equal charges q are placed at four corners of a square of each side a each. Work done in carrying a charge -q from its centre to infinity is:
  A)
  zero                               done clear
  B)
  \[\frac{\left( 2{{q}^{2}} \right)}{\left( \pi {{\varepsilon }_{0}}a \right)}\] done clear
  C)
  \[\frac{\left( \sqrt{2}\,{{q}^{2}} \right)}{\left( \pi {{\varepsilon }_{0}}a \right)}\]                done clear
  D)
  \[\frac{{{q}^{2}}}{\left( 2\pi {{\varepsilon }_{0}}a \right)}\] done clear
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• question_answer38)
  A cube of side x has charge q at each of its vertices. The potential due to this charge array at the centre of the cube is:
  A)
  \[\frac{4a}{3\pi {{\varepsilon }_{0}}x}\]             done clear
  B)
  \[\frac{4q}{\sqrt{3}\,\pi {{\varepsilon }_{0}}x}\] done clear
  C)
  \[\frac{3q}{4\pi {{\varepsilon }_{0}}x}\]             done clear
  D)
  \[\frac{2q}{\sqrt{3}\pi {{\varepsilon }_{0}}x}\] done clear
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• question_answer39)
  A hexagon of side 8 cm has a charge 4uC at each of its vertices. The potential at the centre of the hexagon is:
  A)
  \[2.7\times {{10}^{6}}V\]                     done clear
  B)
  \[7.2\times {{10}^{11}}V\] done clear
  C)
  \[2.5\times {{10}^{12}}V\]                   done clear
  D)
  \[3.4\times {{10}^{4}}V\] done clear
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• question_answer40)
  Which of the following is not a equipotential surface?
  A)
  Sphere with a point charge at its centre done clear
  B)
  Infinitely long sheet with charge at the centre done clear
  C)
  Non-interesting spheres in. case of a dipole done clear
  D)
  All of the above done clear
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• question_answer41)
  Equipotential surfaces:
  A)
  are closer in regions of large electric fields compared to regions of lower electric fields done clear
  B)
  will be more crowded near sharp edges of a conductor done clear
  C)
  will always be equally spaced done clear
  D)
  Both (a) and (b) are correct done clear
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• question_answer42)
  What is not true for equipotential surface for uniform electric field?
  A)
  Equipotential surface is flat done clear
  B)
  Two equipotential surfaces can cross each other done clear
  C)
  Electric lines are perpendicular to equipotential surface done clear
  D)
  Work done is zero done clear
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• question_answer43)
  A, B and C are three points in a uniform electric field. The electric potential is:
  A)
  maximum at A done clear
  B)
  maximum at B done clear
  C)
  maximum at C done clear
  D)
  same at all the three points A, B and C done clear
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• question_answer44)
  For constant potential on the surface, the value of electric field is:
  A)
  zero                               done clear
  B)
  negative   done clear
  C)
  positive                          done clear
  D)
  infinity done clear
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• question_answer45)
  What is the angle between electric field and equipotential surface?
  A)
  \[90{}^\circ \]always                  done clear
  B)
  \[0{}^\circ \] always done clear
  C)
  \[0{}^\circ \]to \[90{}^\circ \]                done clear
  D)
  \[0{}^\circ \] to \[180{}^\circ \] done clear
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• question_answer46)
  Figure shows some equipotential lines distributed in space. A charged object is moved from point A to point (B) (NCERT EXEMPLAR)
  A)
  The work done in figure (i) is the greatest done clear
  B)
  The work done in figure (ii) is the least done clear
  C)
  The work done is the same in figure (i), (ii) and (iii) done clear
  D)
  The work done in figure (iii) is greater than figure (ii) but equal to that in figure (i) done clear
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• question_answer47)
  The electrostatic potential on the surface of a charged conducting sphere is 100 V. Two statements are made in this regard: (NCERT EXEMPLAR) \[{{S}_{1}}\]: At any point inside the sphere, electric intensity is zero. \[{{S}_{2}}\]: At any point inside the sphere, the electrostatic potential is 100 V. Which of the following is a correct statement?
  A)
  \[{{S}_{1}}\]is true but \[{{S}_{2}}\] is false done clear
  B)
  Both \[{{S}_{1}}\]and \[{{S}_{2}}\]are false done clear
  C)
  \[{{S}_{1}}\] is true, \[{{S}_{2}}\]is true and \[{{S}_{1}}\] is the cause of \[{{S}_{2}}\] done clear
  D)
  \[{{S}_{1}}\]is true, \[{{S}_{2}}\]is also true but the statements are independent done clear
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• question_answer48)
  Equipotentials at a great distance from a collection of charges whose total sum is not zero are approximately: (NCER TEXEMPIAR)
  A)
  spheres                          done clear
  B)
  planes     done clear
  C)
  paraboloids                    done clear
  D)
  ellipsoids done clear
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• question_answer49)
  In a certain range, a uniform electric field exists along X-direction. The equipotential surfaces associated with this field will be:
  A)
  equidistant planes parallel to VZ-plane done clear
  B)
  equidistant planes parallel to XY-plane done clear
  C)
  equidistant planes parallel to XZ-plane done clear
  D)
  coaxial cylinders of increasing radii around the X-axis. done clear
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• question_answer50)
  In a region of constant potential:
  A)
  the electric field is uniform   done clear
  B)
  the electric field is zero done clear
  C)
  there can be no charge inside the region done clear
  D)
  Both (b) and (c) are correct done clear
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• question_answer51)
    The work done to move a unit charge along an equipotential surface from P to Q:
  A)
  must be defined as \[-\int_{P}^{Q}{\overrightarrow{E}\,.\,d\,\overrightarrow{l}}\] done clear
  B)
  is zero done clear
  C)
  can have a non-zero value done clear
  D)
  Both (a) and (b) are correct done clear
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• question_answer52)
  Work done in carrying an electric charge \[{{Q}_{1}}\]once round a circle of radius R with a charge \[{{Q}_{2}}\] at the centre of the circle is :
  A)
  \[\frac{{{Q}_{1}}{{Q}_{2}}}{4\pi {{\varepsilon }_{0}}R}\]                    done clear
  B)
  \[\infty \] done clear
  C)
  \[\frac{{{Q}_{1}}{{Q}_{2}}}{4\pi {{\varepsilon }_{0}}{{R}^{2}}}\]                done clear
  D)
  0 done clear
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• question_answer53)
  Work done for bringing a charge q form infinity to a point in space is:
  A)
  positive done clear
  B)
  negative done clear
  C)
  zero done clear
  D)
  depends on the presence of electric field done clear
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• question_answer54)
  Which of the following condition leads to negative potential energy between two charges?
  A)
  One charge is negative and other charge is positive done clear
  B)
  Repulsive electrostatic force done clear
  C)
  Both (a) and (b) done clear
  D)
  None of the above done clear
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• question_answer55)
  Three concentric spherical shells have radii a, b and c \[\left( a<\text{ }b<c \right)\]and have surface charge densities \[+\sigma ,-\sigma \] and \[+\sigma \]respectively. \[{{V}_{A}},\,{{V}_{B}}\]and \[{{V}_{C}}\]denote the potentials of the three shells, then, for c = a + b, we have:
  A)
  \[{{V}_{C}}={{V}_{B}}={{V}_{A}}\] done clear
  B)
  \[{{V}_{A}}={{V}_{C}}\ne {{V}_{B}}\] done clear
  C)
  \[{{V}_{C}}={{V}_{B}}\ne {{V}_{A}}\]          done clear
  D)
  \[{{V}_{C}}={{V}_{B}}\ne {{V}_{A}}\] done clear
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• question_answer56)
  A system consists of two charges \[4\mu C\] and \[-3\mu C\]with no external field placed at (-5 cm, 0, 0) and (5 cm, 0, 0) respectively. The amount of work required to separate the two charges infinitely away from each other is:
  A)
  -1.1 J done clear
  B)
    2 J done clear
  C)
  2.5 J                      done clear
  D)
  3 J done clear
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• question_answer57)
  Two charges of magnitude 5 nC and -2 nC, one placed at points (2 cm, 0, 0) and (xcm, 0, 0) in a region of space, where there is no other external field. If the electrostatic potential energy of the system is\[-0.5\,\,\mu J\]. The value of x is:
  A)
  20 cm                           done clear
  B)
  80 cm    done clear
  C)
  4 cm                             done clear
  D)
  16 cm done clear
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• question_answer58)
  An electric dipole consisting of charges +q and    -q separated by a distance L is in stable equilibrium in a uniform electric field\[\overrightarrow{E}\]. The electrostatic potential energy of the dipole is:                                                              (CBSE 2020)
  A)
  qLE                              done clear
  B)
  zero       done clear
  C)
  -qLE                             done clear
  D)
  -2qEL done clear
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• question_answer59)
  Two point charges \[+10\mu C\] and \[-10\,\mu \,C\] are separated by a distance of 2 cm in water of dielectric constant 80. The potential energy of the system is:
  A)
  - 45 J                done clear
  B)
  - 0. 56 done clear
  C)
  + 45 J              done clear
  D)
  + 0.56 J done clear
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• question_answer60)
  Which of the following angle has minimum potential energy when dipole is placed in uniform potential field?
  A)
  \[0{}^\circ \]                             done clear
  B)
  \[180{}^\circ \]      done clear
  C)
  \[90{}^\circ \]                           done clear
  D)
  \[45{}^\circ \] done clear
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• question_answer61)
  An electric dipole of length 20 cm having \[\pm \,3\times {{10}^{-3}}C\]charge placed at \[60{}^\circ \] with respect to a uniform electric field experiences a torque of magnitude of 6 Nm. The potential energy of the dipole is:
  A)
  \[-2\sqrt{3}\,J\]               done clear
  B)
  \[5\sqrt{3}\,J\] done clear
  C)
  \[-3\sqrt{2}\,J\]               done clear
  D)
  \[3\sqrt{5}\,\,J\] done clear
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• question_answer62)
  A conducting sphere of radius R is given a charge Q. The electric potential and the electric field at the centre of the sphere respectively are:
  A)
  zero and\[\frac{Q}{4\pi {{\varepsilon }_{0}}{{R}^{2}}}\] done clear
  B)
  \[\frac{Q}{4\pi {{\varepsilon }_{0}}R}\]and zero done clear
  C)
  \[\frac{Q}{4\pi {{\varepsilon }_{0}}R}\]and \[\frac{Q}{4\pi {{\varepsilon }_{0}}{{R}^{2}}}\] done clear
  D)
  Both are zero done clear
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• question_answer63)
  Electric field just outside a charged conductor of an arbitrary shape is:
  A)
  always parallel to the surface of conductor done clear
  B)
  always perpendicular to the surface of conductor done clear
  C)
  always zero done clear
  D)
  directed randomly done clear
  View Solution play_arrow

• question_answer64)
  When a conductor is subjected to electric field, which of the following property it follows?
  A)
  Electric field is normal to the surface done clear
  B)
  Electric field is zero in the interior of the conductor done clear
  C)
  Potential is constant inside the conductor               done clear
  D)
  Allot the above    done clear
  View Solution play_arrow

• question_answer65)
  Which of the following statements is false for a perfect conductor?
  A)
  The surface of the conductor is an equipotential surface done clear
  B)
  The electric field just outside the surface of a conductor is perpendicular to the surface done clear
  C)
  The charge carried by a metallic sphere is always uniformly distributed over its surface  done clear
  D)
  None of the above    done clear
  View Solution play_arrow

• question_answer66)
  You are travelling in a car during a thunder storm. In order to protect yourself from lightening, would you prefer to:
  A)
  remain in the car      done clear
  B)
  take shelter under a tree done clear
  C)
  get out and be flat on the ground done clear
  D)
  touch the nearest electric pole    done clear
  View Solution play_arrow

• question_answer67)
  When a ringing mobile is placed in a stainless steel box, it stops ringing because of:  
  A)
  increase in electrical capacitance inside box done clear
  B)
  electrostatic potential induced by the battery of mobile done clear
  C)
  electrostatic shielding provided by box                  done clear
  D)
  absorption of E.M. waves by stainless steel box done clear
  View Solution play_arrow

• question_answer68)
  A charge q is supplied to a metallic conductor. Which is true?  
  A)
  Electric field inside it is same as on the surface done clear
  B)
  Electric potential inside it is zero done clear
  C)
  Electric potential on the surface is zero done clear
  D)
  Electric potential inside it is constant done clear
  View Solution play_arrow

• question_answer69)
  The dipole moment per unit volume is:  
  A)
  polarisation             done clear
  B)
  susceptibility  done clear
  C)
  surface charge density    done clear
  D)
  density    done clear
  View Solution play_arrow

• question_answer70)
  Which of the following is not a non-polar molecule?
  A)
  \[{{H}_{2}}\]                            done clear
  B)
  \[{{O}_{2}}\] done clear
  C)
  \[{{H}_{2}}O\] done clear
  D)
  \[C{{O}_{2}}\] done clear
  View Solution play_arrow

• question_answer71)
  Which among the following is an example of polar molecule?
  A)
  \[{{O}_{2}}\]    done clear
  B)
  \[{{H}_{2}}\] done clear
  C)
  \[{{N}_{2}}\]    done clear
  D)
  \[HCl\] done clear
  View Solution play_arrow

• question_answer72)
  Choose the correct statement.
  A)
  Polar molecules have permanent electric dipole moment done clear
  B)
  \[C{{O}_{2}}\]molecule is a polar molecule done clear
  C)
  \[{{H}_{2}}O\]is a non-polar molecule done clear
  D)
  The dipole field at large distances falls of as\[\frac{1}{{{r}^{2}}}\] done clear
  View Solution play_arrow

• question_answer73)
  Identify the relation between dielectric constant K and electric susceptibility \[\chi \] of a material:
  A)
  \[K=\chi -1\] done clear
  B)
  \[K=\chi +1\] done clear
  C)
  \[\chi =K+1\]                 done clear
  D)
  \[K={{\chi }^{2}}\] done clear
  View Solution play_arrow

• question_answer74)
  The SI unit of polarisation are:
  A)
  \[C{{m}^{2}}\]                        done clear
  B)
  \[C{{m}^{-2}}\] done clear
  C)
  \[{{C}^{2}}m\]                        done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer75)
  Due to polarisation of an dielectric slab, the value of electric field is:
  A)
  reduced                done clear
  B)
  increased     done clear
  C)
  remains same          done clear
  D)
  cannot be determined done clear
  View Solution play_arrow

• question_answer76)
  In case of polarisation, polarisation density is numerically equal to:
  A)
  electric field             done clear
  B)
    charge induced per unit area done clear
  C)
  dielectric constant   done clear
  D)
  electrical susceptibility done clear
  View Solution play_arrow

• question_answer77)
  Under what condition, non-polar dielectric behaves as polar dielectric?
  A)
  In the absence of electric field done clear
  B)
  In the presence of large external electric field done clear
  C)
  In the presence of small external electric field         done clear
  D)
  None of the above done clear
  View Solution play_arrow

• question_answer78)
  Capacitance depends upon which of the following factors?
  A)
  Size and shape of conductor done clear
  B)
  Permittivity done clear
  C)
  Presence of other conductors nearby done clear
  D)
  All of the above done clear
  View Solution play_arrow

• question_answer79)
  Dimension of capacitance is:
  A)
  \[\left[ {{M}^{-2}}{{L}^{-3}}{{T}^{2}}{{A}^{1}} \right]\]   done clear
  B)
  \[\left[ {{M}^{-1}}{{L}^{-3}}{{T}^{4}}{{A}^{2}} \right]\] done clear
  C)
  \[\left[ {{M}^{-1}}{{L}^{-2}}{{T}^{4}}{{A}^{2}} \right]\]   done clear
  D)
  \[\left[ {{M}^{2}}{{L}^{-2}}{{T}^{2}}{{A}^{1}} \right]\] done clear
  View Solution play_arrow

• question_answer80)
  The ratio of charge to potential of a body is known as:
  A)
  capacitance             done clear
  B)
  conductance done clear
  C)
  inductance              done clear
  D)
  resistance done clear
  View Solution play_arrow

• question_answer81)
  The SI unit of capacitance is:
  A)
  J/C                               done clear
  B)
  \[{{C}^{2}}/J\] done clear
  C)
  \[{{J}^{2}}/C\]                        done clear
  D)
  \[C/J\] done clear
  View Solution play_arrow

• question_answer82)
  A farad is the same as a:
  A)
  N/C                               done clear
  B)
  V/J        done clear
  C)
  C/V                               done clear
  D)
  V/C done clear
  View Solution play_arrow

• question_answer83)
  If two conducting spheres are separately charged and then brought in contact:
  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
  View Solution play_arrow

• question_answer84)
  The capacity of an isolated conducting sphere of radius R is proportional to:
  A)
  \[{{R}^{2}}\]                           done clear
  B)
  \[\frac{1}{{{R}^{2}}}\] done clear
  C)
    done clear
  D)
  the thickness of plates done clear
  E)
  the potential applied across the plates done clear
  F)
  the separation between the plates done clear
  View Solution play_arrow

• question_answer85)
  The capacitance of a parallel plate condenser does not depend on:
  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_answer86)
  Capacitance of parallel plate capacitor is derived by using:
  A)
  Gauss's Law            done clear
  B)
  Coulomb's law done clear
  C)
  Polarisation             done clear
  D)
  Electrostatic induction done clear
  View Solution play_arrow

• question_answer87)
  Identify how we can increase the capacitance of a parallel plate capacitor.
  A)
  Increasing the charge done clear
  B)
  Decreasing the plate area done clear
  C)
  Increasing the plate separation done clear
  D)
  Decreasing the plate separation done clear
  View Solution play_arrow

• question_answer88)
  The capacitance of a parallel capacitor whose area of cross section is A and distance between plates is d is:
  A)
  \[Ad/{{\varepsilon }_{0}}\]                     done clear
  B)
  \[{{\varepsilon }_{0}}d/A\] done clear
  C)
  \[{{\varepsilon }_{0}}A/d\]                     done clear
  D)
  \[2{{\varepsilon }_{0}}A/d\] done clear
  View Solution play_arrow

• question_answer89)
  A parallel plate capacitor is charged. If the plates are pulled apart:
  A)
  the capacitance increases done clear
  B)
  the potential difference increases done clear
  C)
  the total charges increases done clear
  D)
  the charge and potential difference remain the same done clear
  View Solution play_arrow

• question_answer90)
  The intensity of electric field at a point between the plates of a charged capacitor:
  A)
  is directly proportional to the distance between the plates done clear
  B)
  is inversely proportional to the distance between the plate's 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_answer91)
  When we say a parallel plate capacitor with charge Q, the charges on its plates are:
  A)
  Q, O                             done clear
  B)
  \[\frac{Q}{2},\frac{Q}{2}\] done clear
  C)
  \[Q,-Q\]             done clear
  D)
  \[\frac{Q}{2},-\frac{Q}{2}\] done clear
  View Solution play_arrow

• question_answer92)
  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:
  A)
  \[\frac{C}{2}\]                           done clear
  B)
  2C done clear
  C)
  \[\frac{3C}{8}\]                         done clear
  D)
  \[\frac{4C}{5}\] done clear
  View Solution play_arrow

• question_answer93)

  A parallel plate capacitor is connected to a battery as shown in figure. Consider two situations:

  (i) key K is kept closed and plates of capacitors are moved apart using insulating handle.

  (ii) key K is opened and plates of capacitors are moved apart using insulating handle.

  Which of the following statements is correct?

  A)
  In (i), Q remains same but C changes done clear
  B)
  In (ii), V remains same but C changes done clear
  C)
  In (i), V remains same and hence Q changes done clear
  D)
  In (ii), both O and V changes done clear
  View Solution play_arrow

• question_answer94)
  Two plates have net charge 70 pC and -70 pC connected to a potential of 20 V, the capacitance of the system is:
  A)
  3.5pF    done clear
  B)
  7pF       done clear
  C)
  7 pC                             done clear
  D)
  10.5 pF done clear
  View Solution play_arrow

• question_answer95)
  Charge on a parallel plate capacitor is 1 mC when charged by a 100 V battery. Calculate the capacitance of the capacitor.
  A)
  \[1\mu F\]                      done clear
  B)
  \[10\,\mu F\] done clear
  C)
  \[100\mu F\]                   done clear
  D)
  \[1000\mu F\] done clear
  View Solution play_arrow

• question_answer96)
  The distance between the plates of a charged plate capacitor disconnected from the battery is 5 cm and the intensity of the field in it is f = 300 V/cm. An uncharged metal bar 1 cm thick is introduced into the capacitor parallel to its plates. The potential difference between the plates now is:
  A)
  1500 V                          done clear
  B)
  1200 V    done clear
  C)
  900 V                            done clear
  D)
  zero done clear
  View Solution play_arrow

• question_answer97)
  If 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:
  A)
  high K and high X        done clear
  B)
  high K and low X done clear
  C)
  low K and high X    done clear
  D)
  low K and low X done clear
  View Solution play_arrow

• question_answer98)
  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:
  A)
  is same done clear
  B)
  is more done clear
  C)
  may be less or more depending on the nature of the material introduced done clear
  D)
  is less done clear
  View Solution play_arrow

• question_answer99)
  When a dielectric material is introduced between the plates of a charged condenser then electric field between the plates:
  A)
  decreases done clear
  B)
  increases done clear
  C)
  remain constant done clear
  D)
  first increases then decreases done clear
  View Solution play_arrow

• question_answer100)
  An air capacitor is connected to a battery. The effect of filling the space between the plates with a dielectric is to increase:
  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_answer101)
  A parallel plate capacitor is made of two dielectric blocks in series. One of the blocks has thickness d \[{{d}_{1}}\]and dielectric constant \[{{k}_{1}}\]and the other has thickness \[{{d}_{2}}\]and dielectric constant \[{{k}_{2}}\]as shown in figure. This arrangement can be thought as a dielectric slab of thickness \[d\left( ={{d}_{1}}+{{d}_{2}} \right)\]and effective dielectric constant K. The K is; 
  A)
  \[\frac{{{K}_{1}}{{d}_{1}}+{{K}_{2}}{{d}_{2}}}{{{d}_{1}}+{{d}_{2}}}\]  done clear
  B)
  \[\frac{{{K}_{1}}{{d}_{1}}+{{K}_{2}}{{d}_{2}}}{{{K}_{1}}+{{K}_{2}}}\] done clear
  C)
  \[\frac{{{K}_{1}}{{K}_{2}}\left( {{d}_{1}}+{{d}_{2}} \right)}{{{K}_{2}}{{d}_{1}}+{{K}_{1}}{{d}_{2}}}\]  done clear
  D)
  \[\frac{2{{K}_{1}}{{K}_{2}}}{{{K}_{1}}+{{K}_{2}}}\] done clear
  View Solution play_arrow

• question_answer102)
  A parallel plate capacitor with air between the plates has a capacitance of 10 pF. The capacitance, if the distance between the plates is reduced by half and the space between them is filled with a substance of dielectric constant 4 is:
  A)
  80 pF                            done clear
  B)
  96pF     done clear
  C)
  100 pF                          done clear
  D)
  120pF done clear
  View Solution play_arrow

• question_answer103)
  The capacitance of a parallel plate capacitor with air as medium is\[3\mu F\]. With the introduction of a dielectric medium between the plates, the capacitance becomes\[15\mu F\]. The permittivity of the medium is:
  A)
  \[5\,{{C}^{2}}{{N}^{-1}}{{m}^{-2}}\]                     done clear
  B)
  \[15\,{{c}^{2}}{{N}^{-1}}{{m}^{-2}}\] done clear
  C)
  \[0.44\times {{10}^{-10}}{{C}^{2}}{{N}^{-1}}{{m}^{-2}}\]           done clear
  D)
  \[8.854\times {{10}^{-11}}{{C}^{2}}{{N}^{-1}}{{m}^{-2}}\] done clear
  View Solution play_arrow

• question_answer104)
  Air-filled parallel plate capacitor has a capacitance of 1 nF. The plate separation is then tripled and a dielectric is inserted, completely filling the space between the plates. As a result, the capacitance increases to 5 nF. The dielectric constant of the dielectric is:
  A)
  2                      done clear
  B)
  3          done clear
  C)
  6                      done clear
  D)
  9 done clear
  View Solution play_arrow

• question_answer105)
  A slab of material dielectric constant K has the same area A as the plates of a parallel plate capacitor, and has thickness \[\left( \frac{3}{4}d \right)\], where d is the separation of the plates. The change in capacitance when the slab is inserted between the plates is:
  A)
  \[C=\frac{{{\varepsilon }_{0}}A}{d}\left( \frac{K+3}{4K} \right)\] done clear
  B)
  \[C=\frac{{{\varepsilon }_{0}}A}{d}\left( \frac{2K}{K+3} \right)\] done clear
  C)
  \[C=\frac{{{\varepsilon }_{0}}A}{d}\left( \frac{K}{K+3} \right)\] done clear
  D)
  \[C=\frac{{{\varepsilon }_{0}}A}{d}\left( \frac{4K}{K+3} \right)\] done clear
  View Solution play_arrow

• question_answer106)
  When number of capacitors are connected in parallel, which quantity remains constant:
  A)
  common potential difference done clear
  B)
  charge done clear
  C)
  capacitance done clear
  D)
  energy done clear
  View Solution play_arrow

• question_answer107)
  Effective capacitance between A and B in the figure shows below is: \[\left( {{C}_{1}}={{C}_{2}}=20\mu F,\,{{C}_{3}}={{C}_{4}}=10\,\mu F \right)\]
  A)
  \[10\,\mu F\] done clear
  B)
  \[15\,\mu F\] done clear
  C)
  \[20\,\mu F\]                  done clear
  D)
  \[25\,\mu F\] done clear
  View Solution play_arrow

• question_answer108)
  The equivalent capacitance between points-4 and 6 in the given figure, is:
  A)
  \[\frac{36}{13\mu F}\]                done clear
  B)
  \[2\mu F\] done clear
  C)
  \[1\mu F\]                                  done clear
  D)
  \[3\mu F\] done clear
  View Solution play_arrow

• question_answer109)
  If n number of capacitors are connected in series and then in parallel, then their ratio of capacitance is:
  A)
  1 : 1                              done clear
  B)
  \[1:{{n}^{2}}\] done clear
  C)
  \[{{n}^{2}}:1\]                   done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer110)
  A network of four \[20\mu F\]capacitors is connected to a 600V supply as shown in the figure. The equivalent capacitance of the network is:
  A)
  \[30.26\mu F\]    done clear
  B)
  \[20\mu F\] done clear
  C)
  \[26.67\mu F\]                done clear
  D)
  \[10\mu F\] done clear
  View Solution play_arrow

• question_answer111)
  The charge on \[3\mu F\]capacitor shown in the figure is:
  A)
  \[2\mu C\]                      done clear
  B)
  \[10\,\mu C\] done clear
  C)
  \[6\mu C\]                      done clear
  D)
  \[8\mu C\] done clear
  View Solution play_arrow

• question_answer112)
  Three capacitors of capacitances\[1\mu F\], \[2\mu F\]and \[3\mu F\] are connected in series and a potential difference of 11 V is applied across the combination, then the potential difference across the plates of \[1\mu F\]capacitor is:
  A)
  2 V                               done clear
  B)
  4 V done clear
  C)
  1 V                               done clear
  D)
  6 V done clear
  View Solution play_arrow

• question_answer113)
  A \[20\mu F\]and a \[10\mu F\]capacitor are connected in series and a potential difference is applied across the combination. The \[20\mu F\]capacitor has:
  A)
  twice the charge of the \[10\mu F\]capacitor done clear
  B)
  half the charge of the\[10\mu F\]capacitor done clear
  C)
  half the potential difference of \[10\mu F\] capacitor done clear
  D)
  twice the potential difference of \[10\mu F\]capacitor done clear
  View Solution play_arrow

• question_answer114)
                                          A \[20\,\mu F\] and a \[10\,\mu F\]capacitor are connected in parallel and a potential difference is applied across the combination. The \[20\,\mu F\] capacitor has:
  A)
  half the charge of the\[1\,\,\mu F\]capacitor                     done clear
  B)
  twice the charge of the \[1\,\,\mu F\]capacitor done clear
  C)
  twice the potential difference of the \[1\,\,\mu F\]capacitor done clear
  D)
  half the potential difference of the \[1\,\,\mu F\]capacitor done clear
  View Solution play_arrow

• question_answer115)
  Minimum number of capacitors each of \[8\,\mu F\]and 250 V used to make a composite capacitor of \[16\,\mu F\]and 1000 V are:
  A)
  8                      done clear
  B)
  32        done clear
  C)
  16                                 done clear
  D)
  24 done clear
  View Solution play_arrow

• question_answer116)
  Two capacitors of \[2\,\mu F\]and \[4\,\mu F\]are connected in parallel. A third capacitor of \[6\,\mu F\]is connected in series. The combination is connected across a 12 V battery. The voltage across \[2\,\mu F\]capacitor is:
  A)
  2V                    done clear
  B)
  8V       done clear
  C)
  6V                    done clear
  D)
  1V done clear
  View Solution play_arrow

• question_answer117)
  How many \[1\,\mu F\]capacitors must be connected in parallel to store a charge of 1 C with a potential of 110 V across the capacitors?
  A)
  990                   done clear
  B)
  900 done clear
  C)
  9090                             done clear
  D)
  909 done clear
  View Solution play_arrow

• question_answer118)
  Three capacitors each of capacity \[4\mu F\]are to be connected in such a way that the effective capacitance is \[6\,\mu F\]. This can be done by:
  A)
  connecting them in series done clear
  B)
  connecting them is parallel done clear
  C)
  connecting two in series and one is parallel done clear
  D)
  connecting two in parallel and one in series done clear
  View Solution play_arrow

• question_answer119)
  The equivalent capacitance for the network shown in the figure is:
  A)
  \[\frac{1200}{7}pF\]                   done clear
  B)
  \[\frac{1000}{4}pF\] done clear
  C)
  \[\frac{1800}{7}pF\]                   done clear
  D)
  \[\frac{1300}{3}pF\] done clear
  View Solution play_arrow

• question_answer120)
  The intensity of an electric field inside a capacitor is E. The work done to move a charge g in a closed rectangular loop is:
  A)
  \[E\left( 2a+2b \right)\] done clear
  B)
  \[E\left( 2a \right)\] done clear
  C)
  Ea done clear
  D)
  zero done clear
  View Solution play_arrow

• question_answer121)
  In a charged capacitor, the energy resides:
  A)
  in the positive charges done clear
  B)
  both in the positive and negative charges                done clear
  C)
  in the electric field between the plates                   done clear
  D)
  around the edge of the capacitor plates                 done clear
  View Solution play_arrow

• question_answer122)
  Which form of energy is stored in a capacitor during its charging?
  A)
  Chemical energy done clear
  B)
  Heat energy done clear
  C)
  Electrical potential energy done clear
  D)
  Sound energy done clear
  View Solution play_arrow

• question_answer123)
  Energy density in capacitor depends upon:
  A)
  electric field done clear
  B)
  nature of medium done clear
  C)
  energy stored in capacitor done clear
  D)
  All of the above done clear
  View Solution play_arrow

• question_answer124)
  Identify the quantity \[{{\varepsilon }_{0}}{{E}^{2}}/2\].
  A)
  energy/farad           done clear
  B)
  energy/volt done clear
  C)
  energy           done clear
  D)
  energy/volume done clear
  View Solution play_arrow

• question_answer125)
  Calculate the energy stored in a capacitor whose value is \[10\,\mu F\], charged by a battery of 100 V.
  A)
  5J                     done clear
  B)
  0.5J      done clear
  C)
  0.05J                            done clear
  D)
  0.005 J done clear
  View Solution play_arrow

• question_answer126)
  A capacitor of capacitance 700 pF is charged by 100 V battery. The electrostatic energy stored by the capacitor is:
  A)
  \[2.5\times {{10}^{-8}}J\]                     done clear
  B)
  \[3.5\times {{10}^{-6}}J\] done clear
  C)
  \[2.5\times {{10}^{-4}}J\]                     done clear
  D)
  \[3.5\times {{10}^{-4}}J\] done clear
  View Solution play_arrow

• question_answer127)
  A 16 pF capacitor is connected to 80 V supply. When capacitor is fully charged the amount of electric energy stored in it is:
  A)
  \[4.5\times {{10}^{-12}}J\]                   done clear
  B)
  \[5.1\times {{10}^{-8}}J\] done clear
  C)
  \[2.5\times {{10}^{-12}}J\]                   done clear
  D)
  \[3.2\times {{10}^{-8}}J\] done clear
  View Solution play_arrow

• question_answer128)
  A capacitor is charged through a potential difference of 200 V, when 0.1 C charge is stored in it. The amount of energy released by it, when it is discharged is:
  A)
  5J     done clear
  B)
  10J      done clear
  C)
  20J                   done clear
  D)
  2.5J done clear
  View Solution play_arrow

• question_answer129)
  The ratio of energy stored in a capacitor and energy dissipated during charging a capacitor with a source:
  A)
  1 : 1                              done clear
  B)
  1 : 2       done clear
  C)
  2 : 1                              done clear
  D)
  1 : 3 done clear
  View Solution play_arrow

• question_answer130)
  A capacitor of capacitance C has charge Q and stored energy is W. If the charge is increased to 2Q, the stored energy will be:
  A)
  W/4                              done clear
  B)
  W/2      done clear
  C)
  2W                   done clear
  D)
  4W done clear
  View Solution play_arrow

• question_answer131)
  A 10 microfarad capacitor is charged to 500 V and then its plates are joined together a resistance of \[10\,\,\Omega \]. The heat produced in the resistance is:
  A)
  500J   done clear
  B)
  250J     done clear
  C)
  125J                             done clear
  D)
  1.25J done clear
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• question_answer132)
  A battery is used to charge a parallel-plate capacitor, after which it is disconnected. Then the plates are pulled apart to twice their original separation. This process will double the:
  A)
  capacitance done clear
  B)
  surface charge density on each plate                    done clear
  C)
  stored energy  done clear
  D)
  electric field between the two plates done clear
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• question_answer133)
  The total energy stored in the condenser system shown in the figure will be:
  A)
  \[8\,\mu J\]                    done clear
  B)
  \[16\,\mu J\] done clear
  C)
  \[2\,\mu J\]                    done clear
  D)
  \[4\,\mu J\] done clear
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• question_answer134)
  A parallel plate air capacitor of capacitance C is connected to a cell of emf V and then disconnected from it. A dielectric slab of dielectric constant K, which can just fill the air gap of the capacitor, is now inserted in it- Which of the following is incorrect?
  A)
  The energy stored in the capacitor decreases K times done clear
  B)
  The change in energy stored is \[1/2C{{V}^{2}}\left( 1/K-1 \right)\] done clear
  C)
  The charge on the capacitor is not conserved done clear
  D)
  The potential difference between the plates decreases K times done clear
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