Question

# A glass tumbler containing hot water is kept in the freezer compartment of a refrigerator (temperature < 0°C). If you could measure the temperature of the content of the tumbler, which of the following graphs would correctly represent the change in its temperature as a function of time?

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Solution

## The correct option is A Explanation for the correct option:Option AThe water will initially start cooling continuously until its temperature reaches $0°\mathrm{C}$. The freezing point of water is $0°\mathrm{C}$. Once the water reaches the freezing point, the temperature remains constant till the water becomes ice. After water becomes ice, the temperature starts decreasing again. Hence this option is correct. Explanation for the incorrect optionsOption B: The water will initially start cooling continuously until its temperature reaches $0°\mathrm{C}$. The freezing point of water is $0°\mathrm{C}$. Once the water reaches the freezing point, the temperature remains constant till the water becomes ice. After water becomes ice, the temperature starts decreasing again. This graph does not show a constant temperature at $0°\mathrm{C}$ for some time. Hence this option is incorrect. Option C: The water will initially start cooling continuously until its temperature reaches $0°\mathrm{C}$. The freezing point of water is $0°\mathrm{C}$. Once the water reaches the freezing point, the temperature remains constant till the water becomes ice. After water becomes ice, the temperature starts decreasing again. This graph does not show the temperature decreasing below $0°\mathrm{C}$ after some time. Hence this option is incorrect. Option D: The water will initially start cooling continuously until its temperature reaches $0°\mathrm{C}$. The freezing point of water is $0°\mathrm{C}$. Once the water reaches the freezing point, the temperature remains constant till the water becomes ice. After water becomes ice, the temperature starts decreasing again. This graph does not show a constant temperature at $0°\mathrm{C}$ for some time and then decreases below $0°\mathrm{C}$ after some time. Hence this option is incorrect.Hence the correct option is A:

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