JEE PHYSICS MCQ: GRAVITATION

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Two bodies of masses

{m_1}\,and\,{m_2}

are initially at rest at infinite distance apart. They are then allowed to move towards each other under mutual gravitational attraction. Their relative velocity of approach at a separation distance

r

between them is

View answer and explanation

Correct option: B

{\left[ {\frac{{2G}}{r}\left( {{m_1} + {m_2}} \right)} \right]^{1/2}}

Option B (

{\left[ {\frac{{2G}}{r}\left( {{{m_1} + {m_2}} \right)} \right]^{1/2}}

) is correct because it represents the relative velocity derived from conservation of energy and momentum for two masses approaching each other under gravitational attraction.

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