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JEE Main & Advanced Sample Paper JEE Main Sample Paper-40

  • question_answer
    Two masses M&m situated at infinite distance apart are at rest. Due to mutual interaction they start approaching each other, the relative velocity of the system when the distance between them is r, will be

    A) \[\frac{2Gr}{M+m}\]            

    B) \[\sqrt{\frac{2Gr}{M+m}}\]

    C) \[\frac{2G(M+m)}{r}\]                      

    D) \[\sqrt{\frac{2G(M+m)}{r}}\]

    Correct Answer: D

    Solution :

    According to law of conservation of energy, \[W=\frac{GMm}{r}=\frac{1}{2}\frac{mM}{m+M}{{v}^{2}}\]or\[v=\sqrt{\frac{2G(M+m)}{r}}\]


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