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

  • question_answer
    The length of a cylinder is measured with a metre rod having least count 0.1 cm. Its diameter is measured with vernier callipers having least count cm. Given that length is 5.0 cm and radius is 2.00 cm. The percentage error in the calculated value of the volume will be:

    A) 11%

    B)  2%  

    C)  3% 

    D)  4%

    Correct Answer: C

    Solution :

    [c]  \[V=\pi {{r}^{2}}\ell \,\,\,\,\,\,\,\,\frac{\Delta V}{V}%=2\frac{\Delta r}{r}%+\frac{\Delta \ell }{\ell }%\] \[=2\times \frac{0.01}{2}\times 100%+\frac{0.1}{5}\times 100%=3%\]


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