JEE Main 2022 · 25 Jul · Shift 2 · Physics Q36

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PhysicsSingle correct+4 / -1Question 36 of 90

Capacitance of an isolated conducting sphere of radius $R_1$ becomes n times when it is enclosed by a concentric conducting sphere of radius $R_2$ connected to earth. The ratio of their radii $\left(\dfrac{R_2}{R_1}\right)$ is :

\dfrac n{n-1}

\dfrac{2n}{2n+1}

\dfrac{n+1}n

\dfrac{2n+1}n

Answer and worked solution

Official answer: A

Spherical capacitor $\dfrac{4\pi\varepsilon_0R_1R_2}{R_2-R_1}=n\cdot4\pi\varepsilon_0R_1$ , so $\dfrac{R_2}{R_1}=\dfrac n{n-1}$ .

(A)

Topics:Capacitors and capacitance

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JEE Main 2022 · 25 Jul · Shift 2, Physics question 36