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Question

A man has 80 kg-wt on the surface of Earth of radius (R). At what height above the surface of the Earth his weight will be 40 kg-wt ?

A
R2
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B
2R
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C
(21)R
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D
(2+1)R
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Solution

The correct option is C (21)R
Weight of body on the earth's surface is w=80 Kg-wt

So, w=mg and, Weight at a height h above the earth's surface w=40 Kg-wt

So, w=mg(1+hR)2

ww=(1+hR)2

or, 2=(1+h/R)2

2=1+hR

hR=21

h=(21)R

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