JEE Main & Advanced Physics Mathematical Tools, Units & Dimensions Question Bank Self Evaluation Test - Physical World, Units and Measurements

  • question_answer
    Suppose the kinetic energy of a body oscillating with amplitude A and at a distance x is given by \[K=\frac{Bx}{{{x}^{2}}+{{A}^{2}}}\] The dimensions of B are the same as that of

    A)  work/time

    B)  work x distance

    C)  work/distance

    D)  work x time

    Correct Answer: B

    Solution :

    [b] From K \[=\frac{Bx}{{{x}^{2}}+{{A}^{2}}}=\frac{Bx}{{{x}^{2}}}=\frac{B}{x}\] \[\therefore \,\,\,B=K\times x=K.E.\times dis\tan ce\] \[=work\times dis\tan ce.\]


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