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Q.

Two satellites P and Q are moving in different circular orbits around the Earth (radius R). The heights of P and Q from the Earth surface are hP and hQ respectively, where hP=R3. The accelerations of P and Q due to Earth’s gravity are gP and gQ,  respectively. If gPgQ=3625 what is the value of hQ ?

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a

3R5

b

R6

c

6R5

d

5R6

answer is A.

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Detailed Solution

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gPgQ=1R+R321(R+hQ)2 3625=9 16(R+h)2R2 6425=1+hR2 h=3R5

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