Q. A physical quantity is given by $X = \left\lbrack M^{a}L^{b}T^{c} \right\rbrack.$ The percentage error in measurement of $M,\ L\ and\ T$ are $\alpha,\ \beta\ and\ \gamma$ respectively. Then, the maximum % error in the quantity $X$ is
A) $a\alpha + b\beta + c\gamma$
B) $a\alpha + b\beta - c\gamma$
C) $\frac{a}{\alpha} + \frac{b}{\beta} + \frac{c}{\gamma}$
D) None of these
Explanation
$X = \left\lbrack M^{a}L^{b}T^{c} \right\rbrack$ Maximum % error in $X = a\alpha + b\beta + c\gamma$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.