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Assertion: To floats, a body must displa...

Assertion: To floats, a body must displace liquid whose weight is greater than actual weight of the body.
Reason: The body will experience no net downward force in that case.

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 but reason is false.

D

if both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem regarding the assertion and reason, we will break it down step by step. ### Step 1: Understanding the Assertion The assertion states that "To float, a body must displace liquid whose weight is greater than the actual weight of the body." - **Explanation**: For an object to float, it must displace a volume of liquid that weighs more than the object itself. This is based on Archimedes' principle, which states that the buoyant force (upthrust) acting on a submerged object is equal to the weight of the liquid displaced by that object. ### Step 2: Understanding the Reason The reason provided is "The body will experience no net downward force in that case." - **Explanation**: If the weight of the liquid displaced is greater than the weight of the body, the buoyant force acting on the body will be greater than the gravitational force acting downwards (the weight of the body). Therefore, the net force acting on the body will be zero or upward, allowing the body to float. ### Step 3: Analyzing the Relationship Now, we need to analyze whether the reason correctly explains the assertion. - **Assertion Analysis**: The assertion is correct because for an object to float, it must displace a weight of liquid greater than its own weight. - **Reason Analysis**: The reason is also correct because if the weight of the displaced liquid is greater than the weight of the body, the body will not experience a net downward force. ### Step 4: Conclusion Both the assertion and the reason are true. However, the reason does not provide a correct explanation for the assertion. The reason simply states that there is no net downward force, but it does not elaborate on why this condition allows the body to float. ### Final Answer - **Assertion**: True - **Reason**: True - **Explanation**: The reason does not correctly explain the assertion.

To solve the problem regarding the assertion and reason, we will break it down step by step. ### Step 1: Understanding the Assertion The assertion states that "To float, a body must displace liquid whose weight is greater than the actual weight of the body." - **Explanation**: For an object to float, it must displace a volume of liquid that weighs more than the object itself. This is based on Archimedes' principle, which states that the buoyant force (upthrust) acting on a submerged object is equal to the weight of the liquid displaced by that object. ### Step 2: Understanding the Reason ...
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