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Assertion. A bubble comes from the botto...

Assertion. A bubble comes from the bottom of a lake to the top.
Reason. Its radius increases.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true and reason is false.

D

If both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the assertion and the reason provided: **Assertion:** A bubble comes from the bottom of a lake to the top. **Reason:** Its radius increases. ### Step-by-Step Solution: 1. **Understanding the Assertion:** - A bubble rises from the bottom of a lake to the top. This is a common observation in fluid mechanics and can be attributed to the principle of buoyancy. 2. **Understanding the Reason:** - The reason states that the radius of the bubble increases as it rises. This is due to the change in pressure as the bubble ascends. At greater depths, the pressure exerted on the bubble is higher than at the surface. 3. **Pressure Variation:** - As the bubble rises from the bottom of the lake to the top, the external pressure acting on it decreases. According to the principles of fluid mechanics, when the external pressure on a gas bubble decreases, the gas inside the bubble expands, leading to an increase in the bubble's radius. 4. **Buoyancy:** - The buoyant force acting on the bubble is greater than the weight of the bubble when it is submerged, causing it to rise. The buoyant force is determined by the volume of fluid displaced by the bubble, which is related to its radius. 5. **Conclusion:** - Both the assertion and the reason are true. However, the reason does not explain why the bubble rises. The rising of the bubble is primarily due to buoyancy, not solely because its radius increases. Therefore, while both statements are correct, the reason does not adequately explain the assertion. ### Final Answer: - Both the assertion and reason are correct, but the reason is not the explanation for the assertion. Thus, the answer is option B.
To solve the question, we need to analyze the assertion and the reason provided: **Assertion:** A bubble comes from the bottom of a lake to the top. **Reason:** Its radius increases. ### Step-by-Step Solution: 1. **Understanding the Assertion:** ...
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