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

  • question_answer
    The pressure on a square plate is measured by measuring the force on the plate and length of the sides of the plate by using the formula \[P=\frac{F}{{{\ell }^{2}}}\]. If the maximum errors in the measurement of force and length are 6% and 3% respectively, then the maximum error in the measurement of pressure is          

    A) 1%

    B)  2%  

    C)  12%

    D)  10%

    Correct Answer: C

    Solution :

    [c] \[\frac{\Delta P}{P}\times 100=\frac{\Delta F}{F}\times 100+2\frac{\Delta \ell }{\ell }\times 100\] \[=6%+2\times 3%=12%\]


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