Consider a star of mass m_2 kg revolving in a circular orbit around another star of mass m_1 kg with m_1 ≫ m_2. 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{d r}{d t} (in s ^{-1} ) is given by: [JEE Adv 2025 P2]

Gravitation

Section: Physics

Question : 2 of 21

Marks: +1, -0

Consider a star of mass m2kg revolving in a circular orbit around another star of mass m1kg with m1≫m2. The heavier star slowly acquires mass from the lighter star at a constant rate of γkg∕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 ‌

‌

(in s−1 ) is given by:

[JEE Adv 2025 P2]

−‌
3γ
2m2
−‌
2γ
m2
−‌
2γ
m1
−‌
3γ
2m1

Validate

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