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Two satellites P and Q ratio of masses 3...

Two satellites P and Q ratio of masses `3:1` are in circular orbits of radii `r and 8r`. Then ratio of total mechanical energy of A to B is

A

`1:3`

B

`3:1`

C

`3:4`

D

`24:1`

Text Solution

Verified by Experts

The correct Answer is:
D

Total mechanical energy of satellite
`E=(-GMm)/(2r)rArr(E_(P))/(E_(Q))=(m_(P))/(m_(Q))xx(r_(Q))/(r_(P))`
`rArr (E_(P))/(E_(Q))=(3)/(1)xx(8r)/(r)=(24)/(1)`.
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