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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 4

  • question_answer
    The density of a cube is measured by measuring its mass and length of its sides. If the maximum error in the measurement of mass and length are 4% and 3% respectively, the maximum error in the measurement of density will be

    A) 7%    

    B) 9%

    C) 12%   

    D) 13%

    Correct Answer: D

    Solution :

    Density \[=\frac{Mass}{Volume}=\frac{Mass}{{{L}^{3}}}\]
    \[\rho =\frac{M}{{{L}^{3}}}\]      \[\frac{\Delta \rho }{\rho }=\frac{\Delta M}{M}+3\frac{\Delta L}{L}\]
    % error in density = % error in Mass \[+3\][% error in length]
    \[=4+3(3)=13%\]


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