Engineering
Physics
Liquid Pressure
Buoyancy
Forces and Types of Forces
Question

A block of ice is floating in a liquid of specific gravity 1.2, which is immiscible with water. When all the ice melts, the level of fluid in beaker

None

remains unchanged

falls

rises

JEE Advance
College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

Solution
Verified BY
Verified by Zigyan

When ice floats, it displaces a volume of liquid equal to the weight of the ice. The weight of melted ice equals the weight of water it becomes. The density of water (1 g/cm³) is less than the liquid's density (1.2 g/cm³).

The volume of water from melting, Vwater=mρwater, is greater than the displaced volume of the denser liquid, Vdisp=mρliquid. Since ρliquid>ρwater, then Vwater>Vdisp. The melted water occupies more volume than the previously displaced liquid, so the level rises.

Final answer: rises