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9-1.Fluid Mechanics
medium
A block of ice floats on a liquid of density $1.2$ in a beaker then level of liquid when ice completely melt
A
Remains same
B
Rises
C
Lowers
D
$(a), (b) $ or $ (c)$
(IIT-1994)
Solution
(b)The volume of liquid displaced by floating ice ${V_D} = \frac{M}{{{\sigma _L}}}$
Volume of water formed by melting ice, ${V_F} = \frac{M}{{{\sigma _W}}}$
If ${\sigma _1} > {\sigma _W},$then, $\frac{M}{{{\sigma _L}}} < \frac{M}{{{\sigma _W}}}$i.e. ${V_D} < {V_F}$
i.e. volume of liquid displaced by floating ice will be lesser than water formed and so the level if liquid will rise.
Standard 11
Physics
