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Q.

Two satellites A and B go around a planet in circular orbits having radii 4R and R, respectively. If the speed of satellite A is 3v, then speed of satellite B is _____times the velocity of satellite A.

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a

3

b

2

c

1

d

4

answer is A.

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Detailed Solution

According to Kepler's third law, we have T2∝R3 Hence, TA2TB2=4RR3=641or TATB=81 or 2πωB2πωA=81   ∵T=2πω or vB×4RR×vA=81∵ω=v/R or vBvA=2

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