The relative density of a material is found by weighing the body first in air and then in water . If the weight in air is `( 10.0 +- 0.1) gf` and the weight in water is `( 5.0 +- 0.1) gf`, then the maximum permissible percentage error in relative density is

Options

A. `(rho_1)/(rho_w (rho_2 - rho_1)) [w_1 (rho_2 - rho_w) - w_2 rho_2]`
B. `(rho_1)/(rho_w (rho_2 + rho_1) )[ w_1 (rho_2 - rho_w) + w_2 rho_2]`
C. `(rho_1)/(rho_w(rho_2 - rho_1) ) [ w_1 (rho_2 - rho_w) - w_2 rho_1]`
D. `(rho_1)/(rho_w(rho_2 - rho_1) )[w_1(rho_1 - rho_w) - w_2 rho_1]`

Answer

A

Explanation

`(rho_1)/(rho_w (rho_2 - rho_1)) [w_1 (rho_2 - rho_w) - w_2 rho_2]`