Properties Of Solids And Liquids Question 202
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.
