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Q.

A satellite of mass m revolves around the earth of radius R at a height x from its surface. If g is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is

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a

gx

b

gRR−x

c

gR2R+x

d

gR2R+x12

answer is D.

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Detailed Solution

For the satellite, the gravitational force provides the necessary centripetal force, i.e., GMem(R+x)2=mv02(R+x) or GMeR2=gv0=gR2R+x
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