First slide

Pressure in a fluid-mechanical properties of fluids

Question

Density of ice is $ρ$ and that of water is $σ$ . What will be the decrease in volume when a mass M of ice melts

Moderate

A

$\frac{M}{σ - ρ}$
B

$\frac{σ - ρ}{M}$
C

$M [\frac{1}{ρ} - \frac{1}{σ}]$
D

$\frac{1}{M} [\frac{1}{ρ} - \frac{1}{σ}]$

Solution

Volume of ice $= \frac{M}{ρ}$ , volume of water $= \frac{M}{σ}$ .
$∴$ Change in volume $= \frac{M}{ρ} - \frac{M}{σ} = M (\frac{1}{ρ} - \frac{1}{σ})$

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