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Gravitation question

2025 · Shift 2 · Q36

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JEE Advanced
Physics
Gravitation
2025 · Shift 2 · Q36

Gravitation question

2025 · Shift 2 · Q36

JEE AdvancedPhysicsGravitationMCQ+3 / −1

Consider a star of mass m2 kg revolving in a circular orbit around another star of mass m1 kg with m1 \gg m2. The heavier star slowly acquires mass from the lighter star at a constant rate of

\gamma

kg/s. In this transfer process, there is no other loss of mass. If the separation between the centers of the stars is r, then its relative rate of change

\frac{1}{r}\frac{dr}{dt}

(in s−1) is given by:

A
$-\frac{3\gamma}{2m_{2}}$
B
$-\frac{2\gamma}{m_{2}}$
C
$-\frac{2\gamma}{m_{1}}$
D
$-\frac{3\gamma}{2m_{1}}$

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