The height from earth's surface at which acceleration due to gravity becomes g4 is (where g is acceleration due to gravity on the surface of earth and R is radius of earth).
A
√2R
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B
R
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C
R√2
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D
2R
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Solution
The correct option is BR We know that g=GMeR2
And at height h from the earth surface g1=GMe(R+h)2
And here g1=g4
So, g4=GMe(R+h)2
so, GMe4R2=GMe(R+h)2
Hence, 14R2=1(R+h)2
⟹(R+h)2R2=4
⟹R+hR=2
⟹R+h=2R
⟹R=h
Hence, at height equal to R from earth surface gravity will become g4.