An ice cube floats in a glass of water filled to the brim. What happens when the ice melts

Jamb 1978

An ice cube floats in a glass of water filled to the brim. What happens when the ice melts? 

A. The water level remains the same

B. There is a drop in the level of water in the glass due to condensation on its outside

C. The water in the glass overflows

D. The level of water drops because melted ice occupies less volume

E. None of the above is correct

ANSWER: Option A

EXPLANATION: The water level will remain the same. Note that, Density is inversely proportional to volume. Water that turns to ice has more density but less volume than ice but the Same mass. So, assuming you have 50 liters of water that turned into ice, the ice will have more volume than the water but upon returning to a liquid state, it will go back to 50 liters because of the change in the density!

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