If $Z=\frac{A^{2} B^{3}}{C^{4}}$, then the relative error in $Z$ will be

  • [JEE MAIN 2022]
  • A

    $\frac{\Delta A }{ A }+\frac{\Delta B }{ B }+\frac{\Delta C }{ C }$

  • B

    $\frac{2 \Delta A }{ A }+\frac{3 \Delta B }{ B }-\frac{4 \Delta C }{ C }$

  • C

    $\frac{2 \Delta A }{ A }+\frac{3 \Delta B }{ B }+\frac{4 \Delta C }{ C }$

  • D

    $\frac{\Delta A }{ A }+\frac{\Delta B }{ B }-\frac{\Delta C }{ C }$

Similar Questions

The percentage error in measurement of a physical quantity $m$ given by $m = \pi \tan \theta $ is minimum when $\theta $ $=$ .......... $^o$ (Assume that error in $\theta $ remain constant)

If error in measuring diameter of a circle is $4\%$, the error in circumference of the circle would be

Write difference between Mistake and Error.

If error in measuring diameter of a circle is $4\%$, the error in radius of the circle would be

Error in the measurement of radius of a sphere is $1\%$. The error in the calculated value of its volume is  ......... $\%$