Q. A physical quantity is given by $X = M^{a}L^{b}T^{c}$. The percentage error in measurement of $M,\ L$ and $T$ are $\alpha,\ \beta$ and $\gamma$ respectively. The maximum percentage 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
Percentage 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.