Mass and volume of a body are found to be (5.00 ± 0.05),kg and (1.00 ± 0.05),m^3 respe

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1.Units, Dimensions and Measurement

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The mass and volume of a body are found to be $(5.00 ± 0.05)\,kg$ and $(1.00 ± 0.05)\,m^3$ respectively. Then the maximum possible percentage error in its density is .......... $\%$

A

$3$

B

$5$

C

$6$

D

$7$

Solution

$\rho=\frac{\mathrm{m}}{\mathrm{v}}$

$\frac{\Delta \rho}{\mathrm{o}} \%=\frac{\Delta \mathrm{m}}{\mathrm{m}} \times 100+\frac{\Delta \mathrm{v}}{\mathrm{y}} \times 100$

Standard 11

Physics

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(JEE MAIN-2021)