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JEE Main & Advanced JEE Main Paper (Held On 16 April 2018)

  • question_answer
    The percentage errors in quantities P, Q, R and S are \[0.5%,1%,3%\]and\[1.5%\] respectively in the measurement of a physical quantity.\[A=\frac{{{P}^{3}}{{Q}^{2}}}{\sqrt{RS}}.\] The maximum percentage error in the value of will be [JEE Main 16-4-2018]

    A) \[8.5%\]                      

    B) \[6.0%\]

    C) \[7.5%\]                      

    D) \[6.5%\]   

    Correct Answer: D

    Solution :

     Percentage error \[\frac{\Delta \Alpha }{A}\times 100=3\frac{\Delta P}{P}\times 100+2\frac{\Delta Q}{Q}+\frac{1}{2}\frac{\Delta R}{R}\times 100+\frac{\Delta S}{S}\times 100\]  \[=3\times 0.5+2\times 1+0.5\times 3+1.5=6.5\]


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