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Questions  

At a height above the surface of earth (Radius = R) acceleration due to gravity is g4where g is the acceleration due to gravity on the surface of earth. Then gravitational potential at that height is 

a
−12 gR
b
−34 gR
c
−(3+1) gR
d
−14 gR

detailed solution

Correct option is A

g1=GM(R+x)2=g(1+xR)2⇒g(1+xR)2=g4⇒x=R∴ Gravitational potential =−GM(R+x)=−gR2(R+R)=−12 gR

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