2. Questions Bank
  3. JEE Main & Advanced
  4. Physics
  5. Mathematical Tools, Units & Dimensions

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

  • question_answer
    A physical quantity \[\zeta \]is calulated using the formula\[\zeta =\frac{1}{10}x{{y}^{2}}/{{z}^{1/3}}\], where x, y and z are experimentally measured quantities. If the fractional error in the measurement of x, y and z are 2 %, 1% and 3% respectively, then the fractional error in\[\zeta \]will be

    A) 0.5%

    B)  5%  

    C)  6%

    D)  7%

    Correct Answer: B

    Solution :

    [b] \[\frac{\Delta \xi }{\xi }\times 100=\left( \frac{\Delta x}{x}+\frac{2\Delta y}{y}+\frac{1}{3}\frac{\Delta z}{z} \right)\times 100\] \[2+2\times 1+\frac{1}{3}\times 3=5%\]


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