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

`V = abc rArr V = 10 xx 1 xx 0.1 = 1 cm^(3)`
`(Delta V)/(V) = pm((Deltaa)/(a) + (Deltab)/(b) + (Delta c)/(c ) )`
`Delta V = pm ((0.1)/(10) + (0.01)/(1)+ (0.001)/(0.1)) xx 1 = pm 0.03 cm^(3)`