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Question

At what depth below the surface of the earth acceleration due to gravity g will be half of its value at 1600 km above the surface of the earth?

A
1.6×106m
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B
2.4×106m
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C
3.2×106m
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D
4.8×106m
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Solution

The correct option is D 4.8×106m
Variation of g outside the earth
g1=g(12hR)
g1=10(12×16006400)
g1=5m/s2
Variation of g inside the earth
g11=g(1hR)
Now, it is given that,
g11=g12
2.5m/s2=10(1h6400)
14=1h6400
h=34×6400 Km
h=4.8×106 m

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