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In making an alloy, a substance of speci...

In making an alloy, a substance of specific gravity `s_(1)` and mass `m_(1)` is mixed with another substance of specific gravity of the alloy is

A

`((m_(1)+m_(2))/(s_(1)+s_(2)))`

B

`((s_(1)s_(2))/(m_(1)+m_(2)))`

C

`(m_(1)+m_(2))/(((m_(1))/(s_(1))+(m_(2))/(s_(2))))`

D

`(((m_(1))/(s_(1))+(m_(2))/(s_(2))))/(m_(1)+m_(2))`

Text Solution

Verified by Experts

The correct Answer is:
C

Specific gravity of alloy ` =("Density of alloy")/("Density of water") = ("Mass of alloy")/("Volume of alloy" xx "density of water") `
`=(m_(1)+m_(2))/((m_(1)/(rho_(1))+(m_(2))/(rho_(2)))xxrho_(w)) =(m_(1)+m_(2))/(m_(1)/(rho_(1)//rho_(w))+(m_(2))/(rho_(2)//rho_(w)))=(m_(1)+m_(2))/(m_(1)/s_(1)+(m_(2))/(s_(2)))`
`["As specific gravity of substance" = ("density of substance")/("density of water")]`
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