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The value of g at a certain height h above the free surface of the earth is x/4 where x is the value of g at the surface of the earth. The height h is

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a

R

b

2R

c

3R

d

4R

answer is A.

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Detailed Solution

x=GMR2 Again, x4=GM(R+h)2 or x=GM2R+h2∴ 1R2=2R+h2=2R+h or R+h=2R or h=R

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