Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2010

  • question_answer
    Dimensions of the three physical quantities in which En up are the same ?

    A)  Work,  energy, force

    B)  Velocity, momentum, impulse

    C)  Potential  energy,    kinetic    energy, momentum

    D)  Pressure, stress, coefficient of elasticity

    Correct Answer: D

    Solution :

    \[Pressure=Force=\frac{[ML{{T}^{-2}}]}{[{{L}^{2}}]}=[M{{L}^{-1}}{{T}^{-2}}]\] \[Stress=\frac{Force}{Area}=\frac{[ML{{T}^{-2}}]}{[{{L}^{2}}]}=[M{{L}^{-1}}{{T}^{-2}}]\] Coefficient of elasticity \[=\frac{Stress}{Strain}\]                                 \[=\frac{F/A}{L/L}=\frac{[ML{{T}^{-2}}][{{L}^{-2}}]}{[L]/[L]}\]                                 \[=[M{{L}^{-1}}{{T}^{-2}}]\]


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