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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 $(V_{A} - V_{B})$ 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.

Explanation:

The electrie field inside the cavity depends only on point charge $q$ . Hence $(V_{A} - V_{B})$ remains constant even if point charge $Q$ is shifted, Here Reason is correct explanation of Assertion. So correct option is (1).

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

\frac{σ}{2 ε_{0}}

, where

σ

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

KCET - 2024

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

\frac{k Q q_{0}}{r^{2}}

2 zero

3

\frac{- k Q q_{0}}{r^{2}}

4

\frac{- k Q q_{0}}{4 r^{2}}

Explanation:

The surface of the metallic conductor acts line a shield so the force exerted by $q_{0}$ on $Q$ is zero. So correct option is (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 $(V_{A} - V_{B})$ 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.

Explanation:

The electrie field inside the cavity depends only on point charge $q$ . Hence $(V_{A} - V_{B})$ remains constant even if point charge $Q$ is shifted, Here Reason is correct explanation of Assertion. So correct option is (1).

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

\frac{σ}{2 ε_{0}}

, where

σ

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

KCET - 2024

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

\frac{k Q q_{0}}{r^{2}}

2 zero

3

\frac{- k Q q_{0}}{r^{2}}

4

\frac{- k Q q_{0}}{4 r^{2}}

Explanation:

The surface of the metallic conductor acts line a shield so the force exerted by $q_{0}$ on $Q$ is zero. So correct option is (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 $(V_{A} - V_{B})$ 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.

Explanation:

The electrie field inside the cavity depends only on point charge $q$ . Hence $(V_{A} - V_{B})$ remains constant even if point charge $Q$ is shifted, Here Reason is correct explanation of Assertion. So correct option is (1).

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

\frac{σ}{2 ε_{0}}

, where

σ

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

KCET - 2024

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

\frac{k Q q_{0}}{r^{2}}

2 zero

3

\frac{- k Q q_{0}}{r^{2}}

4

\frac{- k Q q_{0}}{4 r^{2}}

Explanation:

The surface of the metallic conductor acts line a shield so the force exerted by $q_{0}$ on $Q$ is zero. So correct option is (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 $(V_{A} - V_{B})$ 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.

Explanation:

The electrie field inside the cavity depends only on point charge $q$ . Hence $(V_{A} - V_{B})$ remains constant even if point charge $Q$ is shifted, Here Reason is correct explanation of Assertion. So correct option is (1).

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

\frac{σ}{2 ε_{0}}

, where

σ

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

KCET - 2024

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

\frac{k Q q_{0}}{r^{2}}

2 zero

3

\frac{- k Q q_{0}}{r^{2}}

4

\frac{- k Q q_{0}}{4 r^{2}}

Explanation:

The surface of the metallic conductor acts line a shield so the force exerted by $q_{0}$ on $Q$ is zero. So correct option is (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