Density of ice is ρ and that of water is σ. What will be the decre

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

Options:

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}]

Answer: Option C
:
C

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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