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Fluid Mechanics — JEE physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceJEE physicsFluid Mechanics1 Mark
MCQ
Density of ice is $\rho$ and that of water is $\sigma$. What will be the decrease in volume when a mass $M$ of ice melts
  • A
    $\frac{M}{\sigma-\rho}$
  • B
    $\frac{\sigma-\rho}{M}$
  • ✓
    $M\left[\frac{1}{\rho}-\frac{1}{\sigma}\right]$
  • D
    $\frac{1}{M}\left[\frac{1}{\rho}-\frac{1}{\sigma}\right]$
✓

Answer

Correct option: C.
$M\left[\frac{1}{\rho}-\frac{1}{\sigma}\right]$
(c)$\text { Volume of ice }=\frac{M}{\rho}, \text { volume of water }=\frac{M}{\sigma} . $
$\therefore \text { Change in volume }=\frac{M}{\rho}-\frac{M}{\sigma}=M\left(\frac{1}{\rho}-\frac{1}{\sigma}\right)$

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