The length, breadth and thickness of a strip are given by `l = (10.0 +- 0.1) cm, h = (1.00 +- 0.01) cm, t = (0.100 +- 0.001) cm`. The most probable error in volume will be

Options

A. `0.03 cm^(3)`
B. `0.111 cm^(3)`
C. `0.012 cm^(3)`
D. `0.12 cm^(3)`

Answer

A

Explanation

(1) `V = lht`
`(Delta V)/(V) = (Delta l)/(l) + (Delta h)/(h) + (Delta t)/(t)`
`= (0.1)/(10) + (0.01)/(1) + (0.001)/(0.1)`
`= 0.01 + 0.02 + 0.01 = 0.03`
`V = lht = 10 xx 1 xx 0.01 = 1`
`Delta V = 0.03 V = 0.03 xx 1 = 0.03 cm^(3)`