Fluid Mechanics Viscosity Question 84
Question: A block of ice floats on a liquid of density 1.2in a beaker then level of liquid when ice completely melt[IIT-JEE 1994]
Options:
A) Remains same
B) Rises
C) Lowers
D) (a), (b) or (c)
Show Answer
Answer:
Correct Answer: B
Solution:
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.