RAJASTHAN PMT Rajasthan - PMT Solved Paper-1998

  • question_answer
    Which of the following pair has identical dimensions?

    A)  Momentum and force

    B)  Surface tension and surface energy

    C)  Pressure and Youngs coefficient

    D)  Momentum of force and angular momentum

    Correct Answer: C

    Solution :

    Pressure \[=\frac{force}{area}=\frac{[ML{{T}^{-2}}]}{[{{L}^{2}}]}\] \[[{{M}^{1}}{{L}^{-1}}{{T}^{-2}}]\] Youngs coefficient \[=\frac{F.l}{A.\,\Delta l}\]                                 \[=\frac{[ML{{T}^{-2}}][L]}{[{{L}^{2}}]\,[L]}\]                                 \[=[{{M}^{1}}{{L}^{-1}}{{T}^{-2}}]\] \[\therefore \]pressure and Youngs coefficient have same dimensions.


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