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Assertion : If water is filled in a ball...

Assertion : If water is filled in a balloon and this is immersed in water itself. Then volume of water displaced is equal to the volume of water filled in the ballon.
Reason : Volume of a liquid displaced is equal to the volume of solid immersed in that liquid.

A

If both Assertion and Reason are correct 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 but Reason is false.

D

If Assertion is false but Reason is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given question, we will analyze both the assertion and the reason step by step. ### Step 1: Understanding the Assertion The assertion states that if a balloon filled with water is immersed in water, the volume of water displaced is equal to the volume of water inside the balloon. - When the balloon is submerged in water, it occupies a certain volume. According to Archimedes' principle, the volume of water displaced by an object submerged in a fluid is equal to the volume of the object itself. - Since the balloon is filled with water and is completely submerged, the volume of water displaced is indeed equal to the volume of the water inside the balloon. ### Step 2: Understanding the Reason The reason provided states that the volume of liquid displaced is equal to the volume of the solid immersed in that liquid. - This is a fundamental principle in fluid mechanics known as Archimedes' principle. It applies to any object (solid or liquid) that is immersed in a fluid. - In this case, the balloon (which can be considered as a solid object) is displacing an equal volume of water when it is submerged. ### Step 3: Conclusion Both the assertion and the reason are correct. The assertion correctly describes the scenario of the balloon submerged in water, and the reason accurately explains why the assertion is true based on Archimedes' principle. ### Final Answer Both the assertion and the reason are correct, and the reason is the correct explanation of the assertion. Therefore, the correct option is: **Option 1: Both assertion and reason are correct, and reason is the correct explanation of assertion.** ---

To solve the given question, we will analyze both the assertion and the reason step by step. ### Step 1: Understanding the Assertion The assertion states that if a balloon filled with water is immersed in water, the volume of water displaced is equal to the volume of water inside the balloon. - When the balloon is submerged in water, it occupies a certain volume. According to Archimedes' principle, the volume of water displaced by an object submerged in a fluid is equal to the volume of the object itself. - Since the balloon is filled with water and is completely submerged, the volume of water displaced is indeed equal to the volume of the water inside the balloon. ...
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