The mass and density of a solid sphere are measured to be `(12.4 +-0.1)kg and (4.6 +- 0.2) kg//m^3`. Calculate the volume of the sphere with error limits .

Answer

A, B, C, D

Explanation

Here, `m+- Delta m = (12.4 +-0.1)kg `
and ` rho +- Delta rho= ((4.6 +- 0.2)kg)/(m^(3))`
Volume ` V = m/rho = 12.4/4.6`
` = 2.69m^3 = 2.7m^3`
Now, ` DeltaV/V = +- ((Deltam)/(m) + (Deltarho)/(rho))`
or `DeltaV = +- ((Deltam)/(m)+(Deltarho)/(rho)) xx V`
`= +- ((0.1)/(12.4) + (0.2)/(4.6)) xx 2.7 = +-0.14`
`:. V +- DeltaV = (2.7 +- 0.14)m^3`