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JEE Main & Advanced Physics Mathematical Tools, Units & Dimensions JEE PYQ - Mathematical Tools Units and Dimensions

  • question_answer
    The density of a material in SI units is 128 \[kg\text{ }{{m}^{-}}^{3}\]. In certain units in which the unit of length is 25 cm and the unit of mass is 50 g, the numerical value of density of the material is [JEE Main 10-Jan-2019 Morning]

    A) 40

    B) 640

    C) 16

    D) 410

    Correct Answer: A

    Solution :

    [a] \[\left[ Density \right]=\left[ M{{L}^{-3}} \right]\]
    \[128\,[kg]{{[m]}^{-3}}\,=\,n\frac{\left[ 50\,kg \right]}{1000}\,{{\left[ \frac{1}{4}m \right]}^{-3}}\]
    \[n=40\]


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