RAJASTHAN ­ PET Rajasthan PET Solved Paper-2001

  • question_answer
    Which of the following quantity are not same?

    A)  Planck's constant and angular momentum

    B)  Work and energy

    C)  Pressure and Young's modulus

    D)  Torque of force and moment of inertia

    Correct Answer: D

    Solution :

     Planck's constant\[h=\frac{E}{v}=\frac{[M{{L}^{2}}{{T}^{-2}}]}{[{{T}^{-1}}]}=[M{{L}^{2}}{{T}^{-1}}]\] Angular momentum \[L=I\omega [M{{L}^{2}}][{{T}^{-1}}]=[M{{L}^{2}}{{T}^{-1}}]\] Work and energy \[=F.d=[ML{{T}^{-2}}][L]=[M{{L}^{2}}{{T}^{-2}}]\] pressure \[=\frac{F}{A}=\frac{[ML{{T}^{-2}}]}{[{{L}^{2}}]}=[M{{L}^{-1}}{{T}^{-2}}]\] Young's modulus \[Y=\frac{FL}{Al}=\frac{[ML{{T}^{-2}}][L]}{[{{L}^{2}}][L]}\] \[=[M{{L}^{-1}}{{T}^{-2}}]\] Torque \[\tau =F.d=[M{{L}^{2}}{{T}^{-2}}]\] Moment of inertia \[I=M{{R}^{2}}=[M{{L}^{2}}{{T}^{0}}]\]


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