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Physics · PYQ NEET UG 2021
हिन्दीTwo charged spherical conductors of radius \( R_1 \) and \( R_2 \) are connected by a wire. Then the ratio of surface charge densities of the spheres (\( \sigma_1 / \sigma_2 \)) is:
Correct answer · Option 1
\( \frac{R_2}{R_1} \)
Explanation
When connected, both spheres attain the same potential \( V_1 = V_2 \implies \frac{Q_1}{R_1} = \frac{Q_2}{R_2} \). Surface charge density \( \sigma = \frac{Q}{4\pi R^2} \), so \( \sigma R = \text{constant} \). Thus, \( \frac{\sigma_1}{\sigma_2} = \frac{R_2}{R_1} \).
