The mass of the body is 10.000,g and its volu | vedclass

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(A) Given: Mass $M = 10.000\,g$,Volume $V = 10.00\,cm^3$.The uncertainty in mass $\Delta M = 0.001\,g$ and in volume $\Delta V = 0.01\,cm^3$.Density $

Vedclass · Accepted Answer

$0.0011\,g\,cm^{-3}$

Vedclass · Answer

(A) Given: Mass $M = 10.000\,g$,Volume $V = 10.00\,cm^3$.The uncertainty in mass $\Delta M = 0.001\,g$ and in volume $\Delta V = 0.01\,cm^3$.Density $ho = \frac{M}{V} = \frac{10.000}{10.00} = 1.000\,g\,cm^{-3}$.The relative error in density is given by $\frac{\Delta ho}{ho} = \frac{\Delta M}{M} + \frac{\Delta V}{V}$.Substituting the values: $\frac{\Delta ho}{ho} = \frac{0.001}{10.000} + \frac{0.01}{10.00} = 0.0001 + 0.001 = 0.0011$.Therefore,the absolute error $\Delta ho = 0.0011 	imes ho = 0.0011 	imes 1.000 = 0.0011\,g\,cm^{-3}$.

The mass of the body is $10.000\,g$ and its volume is $10.00\,cm^3$. If the measured values are expressed up to the correct significant figures,the maximum error in the measurement of density is

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