Two satellites A and B move round the earth in the same orbit. The mass of A is twice the mass of B. The quantity which is same for the two satellites will be [2023]

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Solution

Q.
Two satellites A and B move round the earth in the same orbit. The mass of A is twice the mass of B. The quantity which is same for the two satellites will be [2023]

1 Potential energy

2 Total energy

3 Kinetic energy

4 Speed

Ans.
(4)

$P.E. = - \frac{G M_{p} M_{A}}{R}$

$K.E. = + \frac{G M_{p} M_{A}}{2 R}$

$T.E. = - \frac{G M_{p} M_{A}}{2 R}$

$Speed = v = \sqrt{\frac{G M_{p}}{R}}$

$Speed of satellite is independent of mass of satellite.$

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