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Q.

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

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a

−12 gR

b

−34 gR

c

−(3+1) gR

d

−14 gR

answer is A.

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Detailed Solution

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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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