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A ball is made of a material of density ...

A ball is made of a material of density `rho` where `rho_(oil)ltrholtrho_(water)` with `rho_(oil)` and `rho_(water)` representing the densities of oil and water, respectively. The oil and water are immiscible. If the above ball is in equilibrium in a mixture of this oil and water, which of the following pictures represents its equilibrium position?

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
B
Given `rho_("oil")ltrho_("ball")ltrho_("water")`
Since `rho_("water")gtrho_("oil")`, oil will float on water. Hence figures (b) and (d) are not possible
Similarly `rho_("ball")gtrho_("oil")`, so the ball will sink in oil. Hence (a) is not possible
But `rho_("ball")ltrho("water")`. Hence it will float in water. Hence (c ) is the correct diagram.
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