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Assertion: Center of mass and center of ...

Assertion: Center of mass and center of gravity of a body will coincide on moon.
Reason: There is no gravity on moon.

A

If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

B

If both Assertion and Reason are correct 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 question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that the center of mass and center of gravity of a body will coincide on the moon. - **Center of Mass**: This is the point where the mass of a body is concentrated. It depends on the distribution of mass within the body. - **Center of Gravity**: This is the point where the weight of the body acts. It depends on the gravitational field acting on the body. ### Step 2: Analyze the Reason The reason states that there is no gravity on the moon. - This statement is incorrect. The moon does have gravity, although it is weaker than that of Earth. The gravitational acceleration on the moon is approximately 1/6th that of Earth. ### Step 3: Evaluate the Assertion and Reason Since the moon does have gravity, we need to consider the nature of the gravitational field on the moon. - The gravitational field on the moon is uniform across its surface. This means that the gravitational force acts equally on all parts of the body. ### Step 4: Conclusion For a uniform gravitational field, the center of mass and center of gravity will coincide. Therefore, the assertion is true. - **Assertion**: True (the center of mass and center of gravity coincide on the moon). - **Reason**: False (the moon does have gravity). ### Final Answer The correct answer is that the assertion is true, but the reason is false. Thus, the answer is option C. ---

To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that the center of mass and center of gravity of a body will coincide on the moon. - **Center of Mass**: This is the point where the mass of a body is concentrated. It depends on the distribution of mass within the body. - **Center of Gravity**: This is the point where the weight of the body acts. It depends on the gravitational field acting on the body. ...
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DC PANDEY ENGLISH-CENTRE OF MASS-Assertion and reason
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