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JEE Main & Advanced Sample Paper JEE Main Sample Paper-21

  • question_answer
    A wire has a mass \[0.3\pm 0.003\text{ }g,\] radius \[0.5\pm 0.005\text{ }mm\text{ }\] and length \[6\pm 0.06\text{ }cm\]. The maximum percentage error in measurement of its density is :

    A)  1                                

    B)  2   

    C)  3                                

    D)  4

    Correct Answer: D

    Solution :

    \[\rho \,=\frac{M}{\pi {{R}^{2}}L}\] \[\frac{\Delta \rho }{\rho }\,\times 100\,=\left[ \frac{\Delta M}{M}\,+2\frac{\Delta R}{R}+\frac{\Delta L}{L} \right]\,\times 100\]= 4 %


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