The length of a rectangular plate is measured by a meter scale and is found to be `10.0cm`. Its width is measured by verier callipers as `1.00cm`. The least count of the meter scale and vernier callipers are `0.1cm` and `0.01cm` respectively. Maximum permissible 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)` .