Question

A body floats in water with its one-third volume above the surface. The same body floats in a liquid with one-third volume immersed. The density of the liquid is
A. 9 times more than that of water
B. 2 times more than that of water
C. 3 times more than that of water
D. 1.5 times more than that of water

Answer 1

Correct Answer - B
Fraction of volume immersed
`f=(rho_(s))/(rho_(l))` or `r prop (1)/(rho_(l))`
`(f_(1))/(f_(2))=rho_(l_(2))/(rho_(l_(1)))` or `rho_(l_(2))=(f_(1)/(f_(2))) rho_(l_(1))`
`=((V-V//3))/((V//3)) rho_(l_(1))`
`=2rho_(l_(1))`.