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  4. The measured mass and volume of a body are 23.42 g and 4.9 cm 3 respectively with possible error 0.01 g and 0.1 cm 3. The maximum error in density is nearly

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Q. The measured mass and volume of a body are $23.42\, g$ and $4.9\, cm ^{3}$ respectively with possible error $0.01\, g$ and $0.1\, cm ^{3}$. The maximum error in density is nearly

Physical World, Units and Measurements

Solution:

Percentage error in mass $=\frac{0.01}{23.42} \times 100=0.04$
Percentage error in volume $=\frac{0.1}{4.9} \times 100=2.04$
Adding up the percentage errors, we get nearly $2 \%$.