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JEE Main 2011 (AIEEE) · Gravitational Potential & Energy

Gravitational Potential & Energy question from JEE Main 2011 (AIEEE)

Q34JEE Main 2011 · AIEEEMedium

Gravitational Potential & Energy

Two bodies of masses mm and 4m4m are placed at a distance r.r. The gravitational potential at a point on the line joining them where the gravitational field is zero is:

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Answer: (c)

  1. At the null point, V=−Gr(m1+m2)2V = -\frac{G}{r}(\sqrt{m_1}+\sqrt{m_2})^2.
  2. V=−Gr(m+2m)2=−9GmrV = -\frac{G}{r}(\sqrt{m}+2\sqrt{m})^2 = -\frac{9Gm}{r}
  3. So the answer is (c) −9Gmr-\frac{9Gm}{r}.
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