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

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

    A) 1

    B)  2    

    C)  3

    D)  4

    Correct Answer: D

    Solution :

    [d] Density, \[\rho =\frac{M}{V}=\frac{M}{\pi {{r}^{2}}\ell }\] \[\therefore \,\,\,\frac{\Delta \rho }{\rho }\times 100=\left[ \frac{\Delta M}{M}+\frac{2\Delta r}{r}+\frac{\Delta \ell }{\ell } \right]\times 100=4\]


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