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Question: Answered & Verified by Expert
The gravitational potential at a place varies inversely with $x^{2}\left(\right.$ i.e., $\left.V=k / x^{2}\right)$, the gravitational field at that place is
PhysicsGravitationVITEEEVITEEE 2013
Options:
  • A $2 k / x^{3}$
  • B $-2 k / x^{3}$
  • C $k / x$
  • D $-k / x$
Solution:
1286 Upvotes Verified Answer
The correct answer is: $2 k / x^{3}$
Gravitational intensity,
$I=-\frac{d v}{d x}=-\frac{d}{d x}\left(\frac{k}{x^{2}}\right)=\frac{2 k}{x^{3}}$

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