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To determine the composition of a bimeta...

To determine the composition of a bimetallic alloy, a sample is first weighed in air and then in water. These weights are found to be `w_1` and `w_2` respectively. If the densities of the two constituent metals are `rho_1 and rho_2` respectively, then the weight of the first metal in the sample is (where `rho_w` is the density of water)

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_2]`

D

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

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