Q. 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)
Explanation

(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 $\sigma_{L} > \sigma_{W}$, 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

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.