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Half part of ice block is covered with b...

Half part of ice block is covered with black cloth and rest half is covered with white cloth and then it is kept in sunlight. After some time clothes are removed to see the melted ice. Which of the following statements is correct

A

Ice covered with white cloth will melt more.

B

Ice covered with black cloth will melt more.

C

Equal ice will melt under both clothes.

D

It will depend on the temperature of surroundings of ice.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the situation involving the ice block covered with two different colored cloths and how they affect the melting of the ice when exposed to sunlight. ### Step-by-Step Solution: 1. **Understanding Heat Absorption**: - The black cloth is known to be a better absorber of heat compared to the white cloth. This is due to the properties of colors, where darker colors absorb more radiation (heat) than lighter colors. **Hint**: Remember that the color of a material affects its ability to absorb or reflect heat. 2. **Setting Up the Scenario**: - The ice block is divided into two halves: one half is covered with black cloth and the other half with white cloth. When placed in sunlight, the black cloth will absorb more heat compared to the white cloth. **Hint**: Consider how sunlight interacts with different colors and how that affects temperature. 3. **Heat Transfer to Ice**: - The heat absorbed by the black cloth will be transferred to the ice beneath it. The heat required to melt ice can be calculated using the formula \( Q = M \cdot L_F \), where \( Q \) is the heat absorbed, \( M \) is the mass of ice, and \( L_F \) is the latent heat of fusion. **Hint**: Think about how heat transfer works and how it relates to the state change of ice. 4. **Comparing the Melting of Ice**: - Since the black cloth absorbs more heat, the ice beneath the black cloth will receive more energy, leading to more melting compared to the ice beneath the white cloth. **Hint**: Focus on the relationship between heat absorption and the melting process of ice. 5. **Conclusion**: - Based on the above reasoning, the correct statement is that the ice covered with black cloth will melt more than the ice covered with white cloth. **Hint**: Summarize your findings to determine which option correctly reflects the outcome of the experiment. ### Final Answer: The correct statement is: "Ice covered with black cloth will melt more."
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