A recantanglar metal slab of mass `33.333` has its length `8.0cm`, breath `5.0cm` and thickness `1mm`. The mass is measured with accuracy up to `1mg` with a senstive balance. The length and breath are measured with vernier calipers having a least count of `0.01cm`. The thickness is measured with a new a screw gauge of least count `0.01mm`. The percentage accuracy in density calculated from the above measurements is

Options

A. `13%`
B. `130%`
C. `1.3%`
D. `16%`

Answer

C

Explanation

Percentage error gives percentage accuracy `d = (m)/(lbh)` relative error, `(Delta d)/(d) = (Delta m)/(m) + (Delta l)/(l) + (Delta b)/(b) + (Delta h)/(h)` and calculate `((Delta d)/(d)) xx100`