NEET Sample Paper NEET Sample Test Paper-21

  • question_answer A particle moves in a straight line with retardation proportional to its is placement. Its loss of kinetic energy for any displacement \[x\] is proportional to

    A) \[{{x}^{2}}\]                                   

    B) \[{{e}^{x}}\]           

    C)   \[x\]                 

    D)   \[{{\log }_{e}}x\]                   

    Correct Answer: A

    Solution :

    The given condition is that of simple harmonic motion. As the particle moves from mean position to any other position, its potential energy increases by \[\frac{1}{2}K{{x}^{2}},\] so in conformance with mechanical  energy conservation its kinetic energy must decrease by \[\frac{1}{2}K{{x}^{2}}.\] Hence, the correction option is (a).

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