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Question

Question: Two satellites A and B, the ratio of their masses being 3 : 1, are in the circular orbits of radii r...

Two satellites A and B, the ratio of their masses being 3 : 1, are in the circular orbits of radii r and 4r. The ratio of total mechanical energy of A to that of B is –

A

13\frac { 1 } { 3 }

B

3

C

34\frac { 3 } { 4 }

D

12

Answer

12

Explanation

Solution

E = – GMm2r\frac { \mathrm { GMm } } { 2 \mathrm { r } } or E µ mr\frac { \mathrm { m } } { \mathrm { r } }

\ = 12