Question

The length $l$, breadth $b$, and thickness $t$ of a block of wood were measured with the help of a measuring scale. The results with permissible errors (in cm ) are
$l=15.12\pm 0.01,b=10.15\pm 0.01$, and $t=5.28\pm 0.01$.
The percentage error in volume up to proper significant figures is

• A. $0.28\%$
• B. $0.35\%$
• C. $0.48\%$
• D. $0.64\%$

Answer 1

The correct option is B $0.35\%$

$\frac{\Delta V}{V}=\frac{\Delta l}{l}+\frac{\Delta h}{D}+\frac{\Delta t}{t}$

$=\frac{.01}{15.12}+\frac{.01}{10.15}+\frac{.01}{5.28}=0.35\%$