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JEE Main 2023 (11 Apr, Shift 2) · Gravitational Potential & Energy

Gravitational Potential & Energy question from JEE Main 2023 (11 Apr, Shift 2)

Q8JEE Main 2023 · 11 APR · SHIFT 2Easy

Gravitational Potential & Energy

If VV is the gravitational potential due to sphere of uniform density on its surface, then its value at the center of sphere will be:-

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Answer: (a)

  1. Surface: V=−GMRV = -\frac{GM}{R}.
  2. Centre of a uniform solid sphere: Vc=−3GM2RV_c = -\frac{3GM}{2R}.
  3. Vc=32VV_c = \frac{3}{2}V
  4. So the answer is (a) 3V2\frac{3V}{2}.
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