Physics · Electrostatics
A solid sphere of radius R carries a charge Q + q distributed uniformly over its volume. A very small point-like piece of mass m gets detached from the bottom of the sphere and falls down vertically under gravity. This piece carries a charge q. If it acquires a speed v when it has fallen through a vertical distance y, then assuming the remaining portion of the sphere to stay fixed, v2 is given by:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1y qQ4πε0R2ym + gy
- 2y qQ4πε0R(R+y)m + gy
- 32y QqR4πε0(R+y)3m + 2gy
- 42y qQ4πε0R(R+y)m + 2gy✓
Correct answer
2y qQ4πε0R(R+y)m + 2gy
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