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NEET AIPMT SOLVED PAPER 2000

  • question_answer
                    A man goes at the top of a smooth inclined plane. He releases a bag to fall freely and he himself slides on inclined plane to reach the bottom. If \[{{v}_{1}}\] and \[{{v}_{2}}\] are the velocities of the man and bag respectively, then:

    A)                                                                                                                                                                                         \[{{v}_{1}}>{{v}_{2}}\]  

    B)                 \[{{v}_{1}}<{{v}_{2}}\]  

    C)                 \[{{v}_{1}}={{v}_{2}}\]

    D)                 \[{{v}_{1}}\] and \[{{v}_{2}}\] cannot be compared

    Correct Answer: C

    Solution :

                                    The gravitational force is conservative, so the work done by it is independent of path, hence in both cases                 \[\frac{1}{2}\,m{{v}^{2}}=mgh\]                 \[v=\sqrt{2gh}\,;\,independent\,\,of\,mass\]                 \[So,{{v}_{1}}={{v}_{2}}\]


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