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BHU PMT BHU PMT (Screening) Solved Paper-2011

  • question_answer
    Suppose the kinetic energy of a body oscillating with amplitude A and at a distance \[x\]is given by \[K=\frac{3x}{{{x}^{2}}+{{A}^{2}}}\] The dimensions of B are the same as that of

    A)  work/time        

    B) \[work\times distance\]

    C)  work/distance                 

    D) \[work\times time\]

    Correct Answer: B

    Solution :

                     \[[K]=\left[ \frac{Bx}{{{x}^{2}}+{{A}^{2}}} \right]\] \[=\left[ \frac{Bx}{{{x}^{2}}} \right]=\left[ \frac{B}{x} \right]\] \[\therefore \]  \[[B]=[K]\times [x]\] \[=KE\times distance\] \[=work\times distance\]


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