NEET Physics Mathematical Tools, Units & Dimensions Question Bank Dimensions

  • question_answer
    Dimensional formula for volume elasticity is                [MP PMT 1991, 2002; CPMT 1991; MNR 1986]

    A)             \[{{M}^{1}}{{L}^{-2}}{{T}^{-2}}\]   

    B)             \[{{M}^{1}}{{L}^{-3}}{{T}^{-2}}\]

    C)             \[{{M}^{1}}{{L}^{2}}{{T}^{-2}}\]

    D)               \[{{M}^{1}}{{L}^{-1}}{{T}^{-2}}\]

    Correct Answer: D

    Solution :

                     Volume elasticity = \[\frac{\text{Force/Area}}{\text{Volume strain}}\] Strain is dimensionless, so \[\frac{\text{Force}}{\text{Area}}=\frac{ML{{T}^{-2}}}{{{L}^{2}}}=[M{{L}^{-1}}{{T}^{-2}}]\]


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