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A body floats with one-third of its volu...

A body floats with one-third of its volume outside water and `3//4` of its volume outside another liquid. The density of another liquid is :

A

`9/4` g/cc

B

`4/9` g/cc

C

`8/3` g/cc

D

`3/8` g/cc

Text Solution

Verified by Experts

The correct Answer is:
C
Suppose, volume and density of the body be V and `rho` respectively.
Then, according to law of floatation in water,
Weight = upthrust
`Vrhog=2/3Vrho_wg " "..(i)`
In liquid `Vrhog=1/4Vrho_Lg " "..(ii)`
From Eqs. (i) and (ii) `2/3 Vrho_wg=1/4 Vrho_Lg`
or `rho_L/rho_w=(2//3)/(1//4)=8/3`
or `rho_L=8/3rho_w=8/3 xx1g//"cc"=8/3 "g/cc"`
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