Laws of Motion

JEE Main level, single correct, medium

209 of 210

Question 209 of 210

Two point masses of mass m1=fMm_1=f M and m2=(1−f)M(f<1)m_2=(1-f) M(f \lt 1) are in outer space (far from gravitational influence of other objects) at a distance RR from each other. They move in circular orbits about their centre of mass with angular velocities ω1\omega_1 for m1m_1 and ω2\omega_2 for m2m_2. In that case

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Answer: (B) ω1=ω2\omega_1=\omega_2 and independent of ff

Angular velocity is the angular displacement per unit time i.e., ω=ΔθΔt\omega=\frac{\Delta \theta}{\Delta t} Here w1=w2w_1=w_2 and independent of ff.

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