The mass of the body is $10.000\,g$ and its volume is $10.00\,cm^3$. If the measured values are expressed upto the correct significant figures, the maximum error in the measurement of density is
A$0.0011\,g\,cm^{-3}$
B$0.001\,g\,cm^{-3}$
C$0.0001\,g\,cm^{-3}$
D$0.021\,g\,cm^{-3}$
Medium
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A$0.0011\,g\,cm^{-3}$
a $\frac{\Delta \rho}{\rho}= \frac{\Delta \mathrm{M}}{\mathrm{M}}+\frac{\Delta \mathrm{V}}{\mathrm{V}}=\left[\frac{0.001}{10.000}+\frac{0.01}{10.00}\right]=10^{-4}+10^{-3}$
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