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9.1 , fluid mechanics — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics9.1 , fluid 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
(c)Volume of ice $ = \frac{M}{\rho }$, volume of water $ = \frac{M}{\sigma }$ .
$>$ Change in volume $ = \frac{M}{\rho } - \frac{M}{\sigma } = M\,\left( {\frac{1}{\rho } - \frac{1}{\sigma }} \right)$

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