The length, breadth and thickness of a strip are `(10.0+-0.1)cm,(1.00+-0.01)cm` and (0.100+-0.001)cm` respectively. The most probable error in its volume will be

Options

A. `pm 0.03 cm^(3)`
B. `pm 0.111 cm^(3)`
C. `pm 0.012 cm^(3)`
D. none of these

Answer

A

Explanation

`becauseV=lvt:.(DeltaV)/(V)=(Deltal)/(l)+(Deltab)/(b)+(Deltat)/(t)`
`V=(10.0)(1.00)(0.100)=1.00cm^(3)`
`DeltaV=(1.00)[(0.10)/(10.0)+(0.01)/(1.00)+(0.001)/(0.100)]=0.03cm^(3)`