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Question

The weight of the body at earth's surface is W. At a depth halfway to the center of the earth, it will be? (assuming uniform density in the earth)

A
W
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B
W2
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C
W3
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D
W8
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Solution

The correct option is B W2
G1=g(1dR)(1)
Now d that is depth is R2 substituting d=R2 in eq (1)
G1=g(1R2R)=g(112)=g2
So, g1=g2
Multiplying both sides by M
mg1=mg2
Weight is nothing but mass × gravity
Weight at half way depth =W2

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