Electrostatics of Conductors
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359431 Assertion :
A point charge \(q\) is placed at centre of spherical cavity inside a spherical conductor as shown. Another point charge \(Q\) is placed outside the conductor as shown. Now as the point charge \(Q\) is pushed away from conductor, the potential difference \(\left(V_{A}-V_{B}\right)\) between two points \(A\) and \(B\) within the cavity of sphere remains constant.
supporting img
Reason :
The electric field due to charges on outer surface of conductor and outside the conductor is zero at all points inside the conductor.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359432 Under electrostatic condition of a charged conductor, which among the following statements is true?

1 The electric field on the surface of a charged conductor is \({\dfrac{\sigma}{2 \varepsilon_{0}}}\), where \({\sigma}\) is the surface charge density
2 The electric potential inside a charged conductor is always zero
3 Any excess charge resides on the surface of the conductor
4 The net electric filed is tangential to the surface of the conductor
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359433 A charge \({Q}\) is kept inside a uncharged metal spherical shell. A point charge \({q_{0}}\) is placed outside the sphere at a distance of \({r}\) as shown in the figure. Find the force exerted by \({q_{0}}\) on \({-Q}\)
supporting img

1 \({\dfrac{k Q q_{0}}{r^{2}}}\)
2 zero
3 \({\dfrac{-k Q q_{0}}{r^{2}}}\)
4 \({\dfrac{-k Q q_{0}}{4 r^{2}}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359434 If the electric potential of the inner metal sphere is 10 volts and that of the outer shell is 5 volts, then the potential at the centre will be:
supporting img

1 \(10\,V\)
2 \(5\,V\)
3 \(15\,V\)
4 \(0\)
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PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359431 Assertion :
A point charge \(q\) is placed at centre of spherical cavity inside a spherical conductor as shown. Another point charge \(Q\) is placed outside the conductor as shown. Now as the point charge \(Q\) is pushed away from conductor, the potential difference \(\left(V_{A}-V_{B}\right)\) between two points \(A\) and \(B\) within the cavity of sphere remains constant.
supporting img
Reason :
The electric field due to charges on outer surface of conductor and outside the conductor is zero at all points inside the conductor.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359432 Under electrostatic condition of a charged conductor, which among the following statements is true?

1 The electric field on the surface of a charged conductor is \({\dfrac{\sigma}{2 \varepsilon_{0}}}\), where \({\sigma}\) is the surface charge density
2 The electric potential inside a charged conductor is always zero
3 Any excess charge resides on the surface of the conductor
4 The net electric filed is tangential to the surface of the conductor
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359433 A charge \({Q}\) is kept inside a uncharged metal spherical shell. A point charge \({q_{0}}\) is placed outside the sphere at a distance of \({r}\) as shown in the figure. Find the force exerted by \({q_{0}}\) on \({-Q}\)
supporting img

1 \({\dfrac{k Q q_{0}}{r^{2}}}\)
2 zero
3 \({\dfrac{-k Q q_{0}}{r^{2}}}\)
4 \({\dfrac{-k Q q_{0}}{4 r^{2}}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359434 If the electric potential of the inner metal sphere is 10 volts and that of the outer shell is 5 volts, then the potential at the centre will be:
supporting img

1 \(10\,V\)
2 \(5\,V\)
3 \(15\,V\)
4 \(0\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359431 Assertion :
A point charge \(q\) is placed at centre of spherical cavity inside a spherical conductor as shown. Another point charge \(Q\) is placed outside the conductor as shown. Now as the point charge \(Q\) is pushed away from conductor, the potential difference \(\left(V_{A}-V_{B}\right)\) between two points \(A\) and \(B\) within the cavity of sphere remains constant.
supporting img
Reason :
The electric field due to charges on outer surface of conductor and outside the conductor is zero at all points inside the conductor.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359432 Under electrostatic condition of a charged conductor, which among the following statements is true?

1 The electric field on the surface of a charged conductor is \({\dfrac{\sigma}{2 \varepsilon_{0}}}\), where \({\sigma}\) is the surface charge density
2 The electric potential inside a charged conductor is always zero
3 Any excess charge resides on the surface of the conductor
4 The net electric filed is tangential to the surface of the conductor
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359433 A charge \({Q}\) is kept inside a uncharged metal spherical shell. A point charge \({q_{0}}\) is placed outside the sphere at a distance of \({r}\) as shown in the figure. Find the force exerted by \({q_{0}}\) on \({-Q}\)
supporting img

1 \({\dfrac{k Q q_{0}}{r^{2}}}\)
2 zero
3 \({\dfrac{-k Q q_{0}}{r^{2}}}\)
4 \({\dfrac{-k Q q_{0}}{4 r^{2}}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359434 If the electric potential of the inner metal sphere is 10 volts and that of the outer shell is 5 volts, then the potential at the centre will be:
supporting img

1 \(10\,V\)
2 \(5\,V\)
3 \(15\,V\)
4 \(0\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359431 Assertion :
A point charge \(q\) is placed at centre of spherical cavity inside a spherical conductor as shown. Another point charge \(Q\) is placed outside the conductor as shown. Now as the point charge \(Q\) is pushed away from conductor, the potential difference \(\left(V_{A}-V_{B}\right)\) between two points \(A\) and \(B\) within the cavity of sphere remains constant.
supporting img
Reason :
The electric field due to charges on outer surface of conductor and outside the conductor is zero at all points inside the conductor.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359432 Under electrostatic condition of a charged conductor, which among the following statements is true?

1 The electric field on the surface of a charged conductor is \({\dfrac{\sigma}{2 \varepsilon_{0}}}\), where \({\sigma}\) is the surface charge density
2 The electric potential inside a charged conductor is always zero
3 Any excess charge resides on the surface of the conductor
4 The net electric filed is tangential to the surface of the conductor
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359433 A charge \({Q}\) is kept inside a uncharged metal spherical shell. A point charge \({q_{0}}\) is placed outside the sphere at a distance of \({r}\) as shown in the figure. Find the force exerted by \({q_{0}}\) on \({-Q}\)
supporting img

1 \({\dfrac{k Q q_{0}}{r^{2}}}\)
2 zero
3 \({\dfrac{-k Q q_{0}}{r^{2}}}\)
4 \({\dfrac{-k Q q_{0}}{4 r^{2}}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359434 If the electric potential of the inner metal sphere is 10 volts and that of the outer shell is 5 volts, then the potential at the centre will be:
supporting img

1 \(10\,V\)
2 \(5\,V\)
3 \(15\,V\)
4 \(0\)