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Two satellite A and B , ratio of masses ...

Two satellite A and B , ratio of masses `3 : 1` are in circular orbits of radii r and 4 r . Then ratio of total mechanical energy of A to B is

A

`(12)/3`

B

`(21)/1`

C

`(11)/12`

D

`(12)/1`

Text Solution

Verified by Experts

The correct Answer is:
D
`:.` total mechanical energy E =` -(GMm)/2r`
`... (E_1)/(E_2) = (M_1)/(M_2) xx (r_2)/(r_1) = 3/1 xx (4r)/r = (12)/1`
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