NEET Physics Mathematical Tools, Units & Dimensions NEET PYQ-Mathematical Tools, Units and Dimensions

  • question_answer
    In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows \[p=\frac{{{a}^{3}}{{b}^{2}}}{cd}%,\] Error in P is   [NEET 2013]

    A) 14%

    B) 10%                 

    C) 7%

    D) 4%

    Correct Answer: A

    Solution :

    Here, \[P=\frac{{{a}^{3}}{{d}^{2}}}{cd}\]
    \[\therefore \]      \[\frac{\Delta P}{P}\times 100\]
    \[=\left( \frac{3\Delta P}{a}+\frac{2\Delta b}{b}+\frac{\Delta c}{c}+\frac{\Delta d}{d} \right)\times 100\]
    \[=3\frac{\Delta a}{a}\times 100+2\frac{\Delta b}{b}\times 100+\frac{\Delta c}{c}\]
    \[\times 100+\frac{\Delta d}{d}\times 100\]
    \[=3\times 1+2\times 2+3+4\]

You need to login to perform this action.
You will be redirected in 3 sec spinner