Q.

A body weighs 63N on the surface of the earth then its weight at a height equal to half of the radius of earth is

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a

21 N

b

42 N

c

35 N

d

28 N

answer is D.

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Detailed Solution

We have the weight of a body on the surface

W=mg=63N

Wh  is the weight at h=R2

Wh=mgh     (gh=GM(R+h)2gh=GM(R+R2)2=49GMR2gh=49g)

Wh=m×49g

Wh=49×mg

Wh=49×63=28N

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A body weighs 63N on the surface of the earth then its weight at a height equal to half of the radius of earth is