A) 1
B) 2
C) 3
D) 4
Correct Answer: D
Solution :
\[\because \] Density, \[\rho =\frac{M}{V}=\frac{M}{\pi {{r}^{2}}L}\] \[\Rightarrow \frac{\Delta \rho }{\rho }=\frac{\Delta M}{M}+2\frac{\Delta r}{r}+\frac{\Delta L}{L}\] \[=\frac{0.003}{0.3}+2\times \frac{0.005}{0.5}+\frac{0.06}{6}\] \[=0.01+0.02+0.01=0.04\] \[\therefore \] Percentage error \[=\frac{\Delta \rho }{\rho }\times 100=0.04\times 100=4%\]
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