Two objects of masses \( m \) and \( 4 \mathrm{~m} \) are at rest at an infinite separation. The...
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Two objects of masses \( m \) and \( 4 \mathrm{~m} \) are at rest at an infinite separation. They move towards each other under mutual
\( P \) gravitational attraction. If \( G \) is the universal gravitational
W. constant. Then at separation \( r \) : (Assume zero reference potential energy at infinite separation)
(A) The total energy of the two object is zero
(B) Their relative velocity of approach is \( \left(\frac{10 G m}{r}\right)^{1 / 2} \) in magnitude
(C) The total kinetic energy of the objects is \( \frac{4 \mathrm{Gm}^{2}}{r} \)
(D) Net angular momentum of both the particles is zero about any point
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