When we heat floating ice in a pot, after converting into the water, the level of water will -

  1. increase
  2. decrease
  3. remain the same
  4. increase and then decrease

Answer (Detailed Solution Below)

Option 3 : remain the same
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NDA 01/2025: English Subject Test
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Detailed Solution

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CONCEPT:

  • Density: The mass per unit volume is called a density of a material.

\(Density\left( \rho \right) = \frac{{Mass\;\left( M \right)}}{{Volume\;\left( V \right)}}\)

  • Density is a scalar quantity.

EXPLANATION:

  • Since the density of ice is less than that of water that's why it floats on the water.

Mass (M) = ρ × V

  • Consider two cases, in the first case an ice cube of mass m floating in the water, if it is floating (in equilibrium), it will have to displace enough water to support its weight
  • In the second case, where the ice has melted, it turns into the water of volume exactly the same volume as it displaced before.
  • So the added volume is the same, so the level of the water will not change. Hence option 3 is correct.
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