Question

For a cubical block, error in measurement of sides is $\pm 1\%$ and error in measurement of mass is $\pm 2\%$, then maximum possible error in density is

• A. 1%
• B. 5%
• C. 3%
• D. 7%

Answer 1

The correct option is B 5%

Density of the block $d=\frac{m}{V}=\frac{m}{l^3}$

Percentage error in density $\frac{\Delta d}{d}\times 100=\frac{\Delta m}{m}\times 100+3\frac{\Delta l}{l}\times 100$

$⟹\frac{\Delta d}{d}\times 100=2+3\times 1=5$%