Question:

An ice block floats in a liquid whose density is less than water. A part of block is outside the liquid. When whole of ice has melted, the liquid level will

Updated On: Mar 18, 2025
  • rise
  • go down
  • remain same
  • first rise then go down
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The Correct Option is B

Approach Solution - 1

Ice is lighter than water. When ice melts, the volume occupied by water is less than that of ice, due to which the level of water goes down.
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Approach Solution -2

Ice displaces an amount of liquid equal to its own weight, so the level of the liquid remains the same.
When the ice melts, its mass is converted into an equal volume of water, causing the level of the liquid to rise.
However, the density of the liquid is less than that of water, so the total volume of the liquid will decrease when the ice has completely melted.
Therefore, the level of the liquid will go down when the ice has completely melted.

So, the correct option is (B): go down.

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Concepts Used:

Mechanical Properties of Fluid

The science of the mechanical properties of fluids is called Hydrostatics. A fluid is a substance that relents to the slightest pressure. Fluids are categorized into two classes famed by the names of liquids, and elastic fluids or gases, which later comprehend the air of the atmosphere and all the different kinds of air with which chemistry makes us acquainted.

Streamline Flow:

A streamline is a curve the tangent to which at any point provides the direction of the fluid velocity at that point. It is comparable to a line of force in an electric or magnetic field. In steady flow, the pattern of the streamline is motionless or static with time, and therefore, a streamline provides the actual path of a fluid particle.

Tube of Flow:

A tubular region of fluid enclosed by a boundary comprises streamlines is called a tube of flow. Fluid can never cross the boundaries of a tube of flow and therefore, a tube of flow acts as a pipe of the same shape.

Surface Tension and Viscosity:

The surface tension of a liquid is all the time a function of the solid or fluid with which the liquid is in contact. If a value for surface tension is provided in a table for oil, water, mercury, or whatever, and the contacting fluid is unspecified, it is safe to consider that the contacting fluid is air.