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Q.

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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a

V=k2ln(1Vi)

b

V=k2ln(hhi)+Vi

c

V=ln(hhi)+k2Vi

d

V=ln(hhi)+Vik

answer is B.

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Detailed Solution

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