Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2004

  • question_answer
    Dimensions of which of the following three quantities 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 \[=\frac{force}{area}\] \[\Rightarrow \]Dimensions of pressure \[=\frac{[ML{{T}^{-2}}]}{[{{L}^{2}}]}\]                                                 \[=[M{{L}^{-1}}{{T}^{-2}}]\] Stress \[=\frac{force}{area}\] \[\Rightarrow \] Dimensions of stress \[=[M{{L}^{-1}}{{T}^{-2}}]\] Coefficient of elasticity \[=\frac{stress}{strain}\] \[\Rightarrow \]Dimensions of coefficient of elasticity                 \[=[M{{L}^{-1}}{{T}^{-2}}]\] (\[\because \] Strain is dimensionless)


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