Capacitance
Capacitance

165590 Given below are two statements: One is labelled as Assertion $A$ and the other is labelled as Reason R.
Assertion A: Two metallic spheres are charged to the same potential. One of them is hollow and another is solid, and both have the same radii. Solid sphere will have lower charge than the hollow one.
Reason R: Capacitance of metallic spheres depend on the radii of spheres.
In the light of the above statements, choose the correct answer from the options given below.

1 Both $\mathrm{A}$ and $\mathrm{R}$ are true and $\mathrm{R}$ is correct explanation of $\mathrm{A}$
2 Both $\mathrm{A}$ and $\mathrm{R}$ are true but $\mathrm{R}$ is not the correct explanation of $\mathrm{A}$
3 A is true but $\mathrm{R}$ is false
4 A is false but $\mathrm{R}$ is true
Capacitance

165593 A capacitor of unknown capacitance $C$ is connected across a battery of $V$ volt. The charge stored in it becomes $Q$ coulomb. When potential across the capacitor is reduced by $\mathrm{V}^{\prime}$ volt, the charge stored in it becomes $Q^{\prime}$ coulomb. The capacitance $C$ is

1 $\frac{Q-Q^{\prime}}{V^{\prime}}$
2 $\frac{\mathrm{V}^{\prime}}{\mathrm{Q}-\mathrm{Q}^{\prime}}$
3 $\frac{Q+Q^{\prime}}{V^{\prime}}$
4 $\frac{\mathrm{Q}-\mathrm{Q}^{\prime}}{\sqrt{\mathrm{V}^{\prime}}}$
Capacitance

165595 When a dielectric slab is introduced between the plates of a capacitor connected to a battery, then

1 charge on capacitor increases
2 potential difference across the capacitor increases
3 energy stored increases
4 capacity remains the same
Capacitance

165626 A capacitor of capacitance $C_{1}$ is charged to a potential $V$ and then connected in parallel to an uncharged capacitor of capacitance $C_{2}$. The final potential difference across each capacitor will be

1 $\frac{\mathrm{C}_{1} \mathrm{~V}}{\mathrm{C}_{1}+\mathrm{C}_{2}}$
2 $\frac{\mathrm{C}_{2} \mathrm{~V}}{\mathrm{C}_{1}+\mathrm{C}_{2}}$
3 $1+\frac{\mathrm{C}_{2}}{\mathrm{C}_{1}}$
4 $1-\frac{\mathrm{C}_{2}}{\mathrm{C}_{1}}$
Capacitance

165590 Given below are two statements: One is labelled as Assertion $A$ and the other is labelled as Reason R.
Assertion A: Two metallic spheres are charged to the same potential. One of them is hollow and another is solid, and both have the same radii. Solid sphere will have lower charge than the hollow one.
Reason R: Capacitance of metallic spheres depend on the radii of spheres.
In the light of the above statements, choose the correct answer from the options given below.

1 Both $\mathrm{A}$ and $\mathrm{R}$ are true and $\mathrm{R}$ is correct explanation of $\mathrm{A}$
2 Both $\mathrm{A}$ and $\mathrm{R}$ are true but $\mathrm{R}$ is not the correct explanation of $\mathrm{A}$
3 A is true but $\mathrm{R}$ is false
4 A is false but $\mathrm{R}$ is true
Capacitance

165593 A capacitor of unknown capacitance $C$ is connected across a battery of $V$ volt. The charge stored in it becomes $Q$ coulomb. When potential across the capacitor is reduced by $\mathrm{V}^{\prime}$ volt, the charge stored in it becomes $Q^{\prime}$ coulomb. The capacitance $C$ is

1 $\frac{Q-Q^{\prime}}{V^{\prime}}$
2 $\frac{\mathrm{V}^{\prime}}{\mathrm{Q}-\mathrm{Q}^{\prime}}$
3 $\frac{Q+Q^{\prime}}{V^{\prime}}$
4 $\frac{\mathrm{Q}-\mathrm{Q}^{\prime}}{\sqrt{\mathrm{V}^{\prime}}}$
Capacitance

165595 When a dielectric slab is introduced between the plates of a capacitor connected to a battery, then

1 charge on capacitor increases
2 potential difference across the capacitor increases
3 energy stored increases
4 capacity remains the same
Capacitance

165626 A capacitor of capacitance $C_{1}$ is charged to a potential $V$ and then connected in parallel to an uncharged capacitor of capacitance $C_{2}$. The final potential difference across each capacitor will be

1 $\frac{\mathrm{C}_{1} \mathrm{~V}}{\mathrm{C}_{1}+\mathrm{C}_{2}}$
2 $\frac{\mathrm{C}_{2} \mathrm{~V}}{\mathrm{C}_{1}+\mathrm{C}_{2}}$
3 $1+\frac{\mathrm{C}_{2}}{\mathrm{C}_{1}}$
4 $1-\frac{\mathrm{C}_{2}}{\mathrm{C}_{1}}$
Capacitance

165590 Given below are two statements: One is labelled as Assertion $A$ and the other is labelled as Reason R.
Assertion A: Two metallic spheres are charged to the same potential. One of them is hollow and another is solid, and both have the same radii. Solid sphere will have lower charge than the hollow one.
Reason R: Capacitance of metallic spheres depend on the radii of spheres.
In the light of the above statements, choose the correct answer from the options given below.

1 Both $\mathrm{A}$ and $\mathrm{R}$ are true and $\mathrm{R}$ is correct explanation of $\mathrm{A}$
2 Both $\mathrm{A}$ and $\mathrm{R}$ are true but $\mathrm{R}$ is not the correct explanation of $\mathrm{A}$
3 A is true but $\mathrm{R}$ is false
4 A is false but $\mathrm{R}$ is true
Capacitance

165593 A capacitor of unknown capacitance $C$ is connected across a battery of $V$ volt. The charge stored in it becomes $Q$ coulomb. When potential across the capacitor is reduced by $\mathrm{V}^{\prime}$ volt, the charge stored in it becomes $Q^{\prime}$ coulomb. The capacitance $C$ is

1 $\frac{Q-Q^{\prime}}{V^{\prime}}$
2 $\frac{\mathrm{V}^{\prime}}{\mathrm{Q}-\mathrm{Q}^{\prime}}$
3 $\frac{Q+Q^{\prime}}{V^{\prime}}$
4 $\frac{\mathrm{Q}-\mathrm{Q}^{\prime}}{\sqrt{\mathrm{V}^{\prime}}}$
Capacitance

165595 When a dielectric slab is introduced between the plates of a capacitor connected to a battery, then

1 charge on capacitor increases
2 potential difference across the capacitor increases
3 energy stored increases
4 capacity remains the same
Capacitance

165626 A capacitor of capacitance $C_{1}$ is charged to a potential $V$ and then connected in parallel to an uncharged capacitor of capacitance $C_{2}$. The final potential difference across each capacitor will be

1 $\frac{\mathrm{C}_{1} \mathrm{~V}}{\mathrm{C}_{1}+\mathrm{C}_{2}}$
2 $\frac{\mathrm{C}_{2} \mathrm{~V}}{\mathrm{C}_{1}+\mathrm{C}_{2}}$
3 $1+\frac{\mathrm{C}_{2}}{\mathrm{C}_{1}}$
4 $1-\frac{\mathrm{C}_{2}}{\mathrm{C}_{1}}$
Capacitance

165590 Given below are two statements: One is labelled as Assertion $A$ and the other is labelled as Reason R.
Assertion A: Two metallic spheres are charged to the same potential. One of them is hollow and another is solid, and both have the same radii. Solid sphere will have lower charge than the hollow one.
Reason R: Capacitance of metallic spheres depend on the radii of spheres.
In the light of the above statements, choose the correct answer from the options given below.

1 Both $\mathrm{A}$ and $\mathrm{R}$ are true and $\mathrm{R}$ is correct explanation of $\mathrm{A}$
2 Both $\mathrm{A}$ and $\mathrm{R}$ are true but $\mathrm{R}$ is not the correct explanation of $\mathrm{A}$
3 A is true but $\mathrm{R}$ is false
4 A is false but $\mathrm{R}$ is true
Capacitance

165593 A capacitor of unknown capacitance $C$ is connected across a battery of $V$ volt. The charge stored in it becomes $Q$ coulomb. When potential across the capacitor is reduced by $\mathrm{V}^{\prime}$ volt, the charge stored in it becomes $Q^{\prime}$ coulomb. The capacitance $C$ is

1 $\frac{Q-Q^{\prime}}{V^{\prime}}$
2 $\frac{\mathrm{V}^{\prime}}{\mathrm{Q}-\mathrm{Q}^{\prime}}$
3 $\frac{Q+Q^{\prime}}{V^{\prime}}$
4 $\frac{\mathrm{Q}-\mathrm{Q}^{\prime}}{\sqrt{\mathrm{V}^{\prime}}}$
Capacitance

165595 When a dielectric slab is introduced between the plates of a capacitor connected to a battery, then

1 charge on capacitor increases
2 potential difference across the capacitor increases
3 energy stored increases
4 capacity remains the same
Capacitance

165626 A capacitor of capacitance $C_{1}$ is charged to a potential $V$ and then connected in parallel to an uncharged capacitor of capacitance $C_{2}$. The final potential difference across each capacitor will be

1 $\frac{\mathrm{C}_{1} \mathrm{~V}}{\mathrm{C}_{1}+\mathrm{C}_{2}}$
2 $\frac{\mathrm{C}_{2} \mathrm{~V}}{\mathrm{C}_{1}+\mathrm{C}_{2}}$
3 $1+\frac{\mathrm{C}_{2}}{\mathrm{C}_{1}}$
4 $1-\frac{\mathrm{C}_{2}}{\mathrm{C}_{1}}$