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.