The length of a rectangular plate is measured by a meter scale and is found to be ` 10.0 cm`. Its width is measured by vernier callipers as `1.00 cm`. The least count of the meter scale and vernier calipers are `0.1 cm and 0.01 cm` respectively. Maximum permissibe error in area measurement is.

Options

A. `+- 0.2 cm^(2)`
B. `+- 0.1 cm^(2)`
C. `+- 0.3 cm^(2)`
D. zero

Explanation

`A = lb = 10.0 xx 1.00 = 10.00`
`(DeltaA)/(A) = (Deltal)/(l) +(Deltab)/(b)`
`(DeltaA)/(10.00) = (0.1)/(10.0) + (0.01)/(1.00) rArr DeltaA = 10.00 ((1)/(100) + (1)/(100)) = 10.00((2)/(100)) = +- 0.2 cm^(2)` .