A metallic sphere floats in immiscible mixture of water (density `10^(3) kgm^(-3))` and a liquid (density `8xx10^(3) kgm^(-3))` such that its `(2//3)` part is in water and `(1//3)` part in the liquid. The density of the metal is

Options

A. `(5000)/(3)kgm^(-3)`
B. `(10000)/(3)kgm^(-3)`
C. `5000 kgm^(-3)`
D. `2000 kgm^(-3)`

Answer

B

Explanation

Weight of sphere = upthrust from water + upthrust form liquid
`therefore" "Vrhog=(2/3Vxx10^(3)xxg)+(V/3xx8xx10^(3)xxg)`
`"or "rho=10000/2kgm^(-3)`