JEE Main & Advanced JEE Main Paper Phase-I (Held on 09-1-2020 Morning)

  • question_answer
    A body A of mass m is moving in a circular orbit of radius R about a planet. Another body B of mass \[\frac{m}{2}\] collides with A with a velocity which is half \[\left( \frac{{\vec{v}}}{2} \right)\] the instantaneous velocity \[\vec{v}\]of A. The collision is completely inelastic. Then the combined body                             [JEE MAIN Held on 09-01-2020 Morning]

    A) Escapes from the Planet's Gravitational field

    B) Continues to move in a circular orbit

    C) Falls vertically downwards towards the planet

    D) Starts moving in an elliptical orbit around the planet

    Correct Answer: D

    Solution :

    [d] \[{{\vec{p}}_{i}}={{\vec{p}}_{f}}\] \[\Rightarrow {{v}_{f}}=\frac{\left( mv+\frac{mv}{4} \right)}{\frac{3m}{2}}=\frac{5v}{6}\] \[{{v}_{f}}<{{v}_{i}}\Rightarrow \]Path will be elliptical


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