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Density

Two identical...

Question

Two identical bottles having their mouths sealed with identical ballons are dipped into beakers A and B containg water as shown in the figure. Which of the following statements are correct with respect to the given figure?

Water in both the beakers is at same temperature

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Water in beaker A is hotter than that in B.

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Water in beaker B is hotter than that in A.

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Temperature of water in beaker A and B cannot be predicted

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Solution

The correct option is C Water in beaker B is hotter than that in A.
Since the balloon in beaker B is inflated, we can say that the air inside the bottle dipped in beaker B occupies more volume than air inside the bottle dipped in beaker A.
We know that air expands on heating. This means that at higher temperature, air occupies more volume.
Thus, we can conclude that the temperature of air in the bottle dipped in container B is greater than that of air in the bottle dipped in beaker A.
Hence, water in beaker B is hotter than water in beaker A.

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