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Assertion: When a body dropped from a he...

Assertion: When a body dropped from a height explodes in mid air, its center of mass keeps moving in vertically downward directions.
Reason: Explosion occurs under internal forces only. External force is zero.

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 given. ### Step 1: Understand the Assertion The assertion states that when a body is dropped from a height and explodes in mid-air, its center of mass continues to move in a vertically downward direction. - **Explanation**: When the body is dropped, it is subjected to the force of gravity, which pulls it downward. Even if the body explodes while in free fall, the center of mass of the system (the body and its fragments) will continue to move downward because the explosion does not introduce any external forces acting on the system. ### Step 2: Understand the Reason The reason states that the explosion occurs under internal forces only and that the external force is zero. - **Explanation**: An explosion involves forces that act within the body itself (internal forces). According to Newton's laws, if no external forces are acting on a system, the total momentum of the system remains constant. Therefore, the center of mass will continue to follow the same trajectory as it would have if the explosion had not occurred. ### Step 3: Conclusion Since both the assertion and the reason are correct, and the reason provides a valid explanation for the assertion, we conclude that: - **Assertion**: Correct - **Reason**: Correct - **Conclusion**: The reason correctly explains the assertion. ### Final Answer Both the assertion and the reason are correct, and the reason is the correct explanation for the assertion. Therefore, the answer is option A. ---

To solve the question, we need to analyze both the assertion and the reason given. ### Step 1: Understand the Assertion The assertion states that when a body is dropped from a height and explodes in mid-air, its center of mass continues to move in a vertically downward direction. - **Explanation**: When the body is dropped, it is subjected to the force of gravity, which pulls it downward. Even if the body explodes while in free fall, the center of mass of the system (the body and its fragments) will continue to move downward because the explosion does not introduce any external forces acting on the system. ### Step 2: Understand the Reason ...
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