A star of mass m₂ revolves in a circular orbit around a much heavier star of mass m₁, with m₁ ≫ m₂. The heavier star slowly acquires mass from the lighter star at a constant rate γ kg s⁻¹, with no other mass loss. If the separation is r, which expression gives (1/r)(dr/dt)?

Physics · Circular Motion

JEE Advanced 2025 Paper 2

A star of mass m₂ revolves in a circular orbit around a much heavier star of mass m₁, with m₁ ≫ m₂. The heavier star slowly acquires mass from the lighter star at a constant rate γ kg s⁻¹, with no other mass loss. If the separation is r, which expression gives (1/r)(dr/dt)?

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