Q. The length $l,$ breadth $b$ and thickness $t$ of a block are measured with the help of a metre scale. Given $l = 15.12 \pm 0.01$cm, $b = 10.15 \pm 0.01$cm, $t = 5.28 \pm 0.01$cm. The percentage error in volume is
A) 0.64%
B) 0.28%
C) 0.37%
D) 0.48%
Explanation
$\frac{\mathrm{\Delta}l}{l} \times 100 = \frac{0.01}{15.12} \times 100 = 0.07$, $\frac{\mathrm{\Delta}b}{b} \times 100 = \frac{0.01}{10.15} \times 100 = 0.1$, $\frac{\mathrm{\Delta}t}{t} \times 100 = \frac{0.01}{5.28} \times 100 = 0.2$ Required percentage $= 0.07 + 0.1 + 0.2 = 0.37\%$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.