NEET Sample Paper NEET Sample Test Paper-51

  • question_answer
    Percentage error in measuring the radius and mass of hollow sphere are \[2%\] and \[4%\] respectively. Then error in measurement of moment of inertia with respect to its diameter is-

    A) \[10%\]             

    B) \[6%\]

    C) \[8%\]                           

    D) \[4%\]

    Correct Answer: C

    Solution :

    \[I\,\,=\,\,\frac{2}{3}\,M{{R}^{2}}\] \[\frac{\Delta I}{I}\,\times \,100\,\,=\,\,\frac{\,\Delta M}{M}\,\,\times 100+2\,\,\frac{\Delta R}{R}\times 100\] \[=\text{ }4%\,\,+\,\,(2\,\,\times \,\,2\,%)\,\,=\,\,8\,%\]

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