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NEET 2023 · Gravitational Potential & Energy

Gravitational Potential & Energy question from NEET 2023

Q10NEET 2023Medium

Gravitational Potential & Energy

Two bodies of mass mm and 9m9m are placed at a distance RR. The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be (G=G = gravitational constant):

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Answer: (b)

  1. At the null point, V=−GR(m1+m2)2V = -\frac{G}{R}(\sqrt{m_1}+\sqrt{m_2})^2.
  2. V=−GR(m+9m)2=−GR(4m)2V = -\frac{G}{R}(\sqrt{m}+\sqrt{9m})^2 = -\frac{G}{R}(4\sqrt{m})^2
  3. V=−16GmRV = -\frac{16Gm}{R}
  4. So the answer is (b).
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