$A$ physical quantity $A$ can be determined by measuring parameters $B, C, D$ and $E$ using the relation $A = \frac{B^\alpha C^\beta}{D^\gamma E^\delta}$. If the maximum percentage errors in the measurement of $B, C, D$ and $E$ are $b\%, c\%, d\%$ and $e\%$ respectively,then the maximum percentage error in the value of $A$ is:

  • A
    $(\alpha b + \beta c - \gamma d - \delta e) \%$
  • B
    $(b + c - d - e) \%$
  • C
    $(\alpha b + \beta c + \gamma d + \delta e) \%$
  • D
    $(b + c + d + e) \%$

Explore More

Similar Questions

The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are:

The amount of heat produced in an electric circuit depends upon the current $(I),$ resistance $(R)$ and time $(t).$ If the error made in the measurements of the above quantities are $2\%, 1\%$ and $1\%$ respectively then the maximum possible error in the total heat produced will be ........... $\%$

$A$ public park,in the form of a square,has an area of $(100 \pm 0.2) \, m^2$. The side of the park is ......... $m$.

Write the rule for the error produced in the result due to the addition and subtraction of physical quantities.

In an experiment, the coefficient of viscosity (in $mPa \cdot s$) of a liquid was determined as $2.62, 2.68, 2.58, 2.57, 2.54$ and $2.55$. The mean absolute error in the determination of the coefficient of viscosity of the liquid is

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo