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  4. The mass and volume of a body are found to be 5. 00 ± 0.05 kg and 1.00 ± 0.05 m3 respectively. Then the maximum possible percentage error in its density is

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Q. The mass and volume of a body are found to be $ 5.\,00\,\pm \,0.05\,kg $ and $ 1.00\,\pm \,0.05\,{{m}^{3}} $ respectively. Then the maximum possible percentage error in its density is

KEAMKEAM 2011Physical World, Units and Measurements

Solution:

$ \frac{\Delta \rho }{\rho }=\frac{\Delta m}{m}+\frac{\Delta V}{V} $
$ =\frac{0.05}{5}\times 100+\frac{0.05}{1}\times 100=6 $
$ \frac{\Delta \rho }{\rho }=6% $