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A metallic sphere floats in an immiscibl...

A metallic sphere floats in an immiscible mixture of water `(rho_(w)=10^(3)kg//m^(3))` and a liquid `(rho_(L)=13.5xx10^(3)kg//m^(3))` such that its `(4)/(5)th` volume is in water and `(1)/(5)th` volume in the liquid. Find the density of metal.

A

`4.5 xx 10^(3) kg//m^(3)`

B

`4.0 xx 10^(3) kg//m^(3)`

C

`3.5 xx 10^(3) kg//m^(3)`

D

`1.9 xx 10^(3) kg//m^(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
`10_(3)=(4)/(5)+13.5 xx 10_(3)xx(1)/(5) = rhoxx1`
or `rho=3.5 xx 10_(3) kg//m_(3)`.
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