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Physics · 2020

JEE Main · 5 September 2020, Shift 1 · Q11

A solid sphere of radius R carries a charge Q + q distributed uniformly over its volume. A very small point like piece of it of mass m gets detached…

A solid sphere of radius $\displaystyle R$ carries a charge $\displaystyle \mathrm{Q}+\mathrm{q}$ distributed uniformly over its volume. A very small point like piece of it of mass m gets detached from the bottom of the sphere and falls down vertically under gravity. This piece carries charge q. If it acquires a speed $\displaystyle v$ when it has fallen through a vertical height $\displaystyle y$ (see figure), then : (assume the remaining portion to be spherical). Figure: JEE Main Physics 2020, Electrostatics
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