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If the gravitational field varies as $E = \frac{- k^{2}}{h}$ , and the reference is $h_{i}$ whose potential is $V_{i}$ , then the potential at any point at $h$ is given by

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V=k2ln(1Vi)

V=k2ln(hhi)+Vi

V=ln(hhi)+k2Vi

V=ln(hhi)+Vik

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detailed solution

Correct option is B

E=−dvdh=−k2h ⇒∫vivdv=k2∫hihdhh ⇒v=vi+k2ln(hhi)

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If the gravitational field varies as E=−k2h , and the reference is hi whose potential is Vi , then the potential at any point at h is given by

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If the gravitational field varies as $E = \frac{- k^{2}}{h}$ , and the reference is $h_{i}$ whose potential is $V_{i}$ , then the potential at any point at $h$ is given by