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JEE Main & Advanced Physics Mathematical Tools, Units & Dimensions Question Bank Self Evaluation Test - Physical World, Units and Measurements

  • question_answer
    The moment of inertia of a body rotating about a given axis is \[6.0\text{ }kg\text{ }{{m}^{2}}\]in the SI system. What is the value of the moment of inertia in a system of units in which the unit of length is 5 cm and the unit of mass is 10 g?  

    A)  \[2.4\times {{10}^{3}}\]

    B)  \[2.4\times {{10}^{5}}\]

    C)  \[6.0\times {{10}^{3}}\]

    D)  \[6.0\times {{10}^{5}}\]

    Correct Answer: B

    Solution :

    [b] In new system, \[1g*=10g,\,1cm\,*=5cm.\] \[I=6\times 100\times g*{{(20cm*)}^{2}}=6\times 100\times 400g\times cm{{*}^{2}}\] \[=2.4\times {{10}^{5}}g*cm{{*}^{2}}\]


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