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Q.

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

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a

$M [\frac{1}{ρ} - \frac{1}{σ}]$

b

$\frac{M}{σ - ρ}$

c

$\frac{σ - ρ}{M}$

d

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

answer is C.

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Detailed Solution

Mass is constant.

So the volume of ice $= \frac{M}{ρ}$

volume of water $= \frac{M}{σ}$

So the change in volume = $\frac{M}{ρ} - \frac{M}{σ}$

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