The relative density of material of a body is found by weighting it first in air and then in water . If the weight in air is `( 5.00 +- 0.05) N` and the weight in water is `(4.00 +- 0.05) N`. Find the relative density along with the maximum permissible percentage error.

Explanation

Weight in air `=(5.00+0.05)N`
Weight in water `=(4.00+-0.05)N`
Loss of weight in water `=(1.00+-0.1)N`
Now relative density `=("Weight in air")/("Weight loss in water")`
i.e. `RD=(5.00+-0.05)/(1.00+-0.1)`
Now relative densit with maximum permissible error
`=5.00/1.00+-(0.05/5.00+0.1/1.00)xx100`
`=5.0+-(1+10)%=5.0+-11%`