Question

A solid floats in a liquid of different material. Carry out an analysis to see whether the level of liquid in the container will rise or fall when the solid melts.

Answer 1

The level of water does not change when a floating solid melts in a liquid medium.

Explanation:

Let.,

$M=$ Mass of the floating solid

$\rho_{2}=$ Density of liquid formed by the melting of the solid (Ice)

$\rho_{2}=$ Density of the liquid in which the solid is floating(Water)

$V [Volume Displaced] = \frac{M}{\rho_{1}}$

When solid melts, the volume occupied becomes $V [Volume Displaced] = \frac{M}{\rho_{2}}$

The level in the container will rise or fall as

$\frac{M}{\rho_{2}}>\text { or }<\frac{M}{\rho_{1}} \text { i.e. } \rho_{2}<\text { or }>\rho_{1}$

Since density of Ice and Water is equal, That is $\rho_{1}=\rho_{2}$, the level of the water in the container remains same.

• This experiment is done to prove that, if the density of both the mediums are equal, the weight exerted will be of nil effect.

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