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(A) : If a body moving in a circular pat...

(A) : If a body moving in a circular path with constant speed, then no force acts on it.
(R ) : The direction of the velocity vector of a body moving in a circular path is changing

A

Both (A) and (R) are true and (R) is the correct explanation of (A)

B

Both (A) and (R) are true and (R) is not the

C

(A) is true but ( R) is false

D

Both (A) and (R ) are false

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. **Assertion (A):** If a body is moving in a circular path with constant speed, then no force acts on it. **Reason (R):** The direction of the velocity vector of a body moving in a circular path is changing. ### Step-by-Step Solution: 1. **Understanding Circular Motion:** - A body moving in a circular path with constant speed is said to be in uniform circular motion. In this type of motion, while the speed (magnitude of velocity) remains constant, the direction of the velocity vector continuously changes. 2. **Analyzing the Assertion:** - The assertion claims that if a body is moving in a circular path with constant speed, then no force acts on it. This is incorrect. In uniform circular motion, a net force is required to keep the body moving in a circular path. 3. **Centripetal Force:** - The force that acts on a body moving in a circular path is called centripetal force. This force is directed towards the center of the circular path and is responsible for changing the direction of the velocity vector. 4. **Analyzing the Reason:** - The reason states that the direction of the velocity vector of a body moving in a circular path is changing. This statement is true because, in circular motion, even though the speed is constant, the direction of the velocity vector changes continuously. 5. **Conclusion:** - Since the assertion is false (there is a force acting on the body in circular motion), and the reason is true (the direction of the velocity vector is changing), we conclude that the assertion does not support the reason. ### Final Answer: - Assertion (A) is **False**. - Reason (R) is **True**.
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