Properties Of Solids And Liquids Question 285
Question: 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
Options:
A)$ \frac{M}{\sigma -\rho } $
B)$ \frac{\sigma -\rho }{M} $
C)$ M\left[ \frac{1}{\rho }-\frac{1}{\sigma } \right] $
D)$ \frac{1}{M}\left[ \frac{1}{\rho }-\frac{1}{\sigma } \right] $
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Answer:
Correct Answer: C
Solution:
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) $
