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Question

Calculate the ratio of weights of a body when it is (radius of the Earth is 6400km.)

1. 200 km above the surface of the Earth and
2. 200 km below the surface of the Earth.

A
0.97
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B
1.2
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C
2
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D
0
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Solution

The correct option is A 0.97
The acceleration Due to Gravity variation on :-
at an height 'h' g11=g(RR+h)2 at adept 'd'g12=g(1dR)
where g : at surface and R : Radius of Earth
an weight of body, w = mg', mg',g accln. due to gravity at that point.
Ratio of weights :-
w1w2=(RR+h)2×(RRd)
From question, R = 6400km, d = h = 200km so,
w1w2=(64000)3(6400+200)2(6400200)=(6400)3(6600)2(6200)0.97 (Ans)

1101144_1172999_ans_9bbf59a90d15461485d767b585720479.JPG

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