Q.

The acceleration due to gravity at a height 1 km above the earth is the same as at a depth d below the surface of earth. Then

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a

d = 1 km

b

d=32 km

c

d = 2 km

d

d=12 km

answer is C.

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Detailed Solution

The acceleration due to gravity at a height  h  is given asgh=g1-2hRe where Re is radius of earth. The acceleration due to gravity at a depth  d  is given as gd=g1-dRe Given, gh=gd∴g1-2hRe=g1-dRe∴  d=2h=2×1=2 km               (∵h=1 km)
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