Question

The measured mass and volume of a body are `22.42 g` and `4. cm^(3)`, respectively, with possible errors of `0.01 g` and `0.1 cm^(3)`. The maximum error in density is
A. `0.2%`
B. `2%`
C. `5%`
D. `10%`

Answer 1

Correct Answer - B
(2) Density `= mass//volume`
`rho = m//V`
`(Delta rho)/(rho) = (Delta m)/(m) + (Delta V)/(V)`
`= (0.01)/(22.42) + (0.1)/(4.7)`
`(Delta rho)/(rho) xx 100 = 2.17 %`