Question

20. A cup of water is filled to the brim, with an ice cube in it. The top of the ice cube
sticks out of the surface. As the ice melts, you observe that:
A. The cup overflows.
B. The cup might overflow but it depends on the actual mass of the ice cube.
C. The water level remains the same.
D. The water level actually goes down.

Answer 1

Answer:

a part is the answer the cup overflows

Answer 2

Answer:

The required answer is an option (C) The water level remains the same.

Explanation:

The buoyant force, which acts on a body at rest in a fluid and pushes it higher, is equal to the weight of the fluid the body displaces, according to Archimedes' principle.

​The buoyant force (FB) is given by, $F_{ B} =P_{fluid}$ ×$g$×$V_{object}$

Some of the water will be moved by the floating ice.

From Archimedes' principle, $F_{B}$ = $P_{water}$ × g × $V_{ice}$      ----(1)

Weight of the displaced fluid (water) = mg = $P_{water}$ × $Vx_{displaced water}$ × g      ----(2)

The forces acting on an object must be balanced in order for it to remain afloat. (1) = (2)

$V_{ice} =V_{displaced water}$

Therefore, the melted ice will occupy the same volume as the displaced water when it melts, the water level won't change.

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