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(A) : Force is required to move a body u...

(A) : Force is required to move a body uniformly along a circle.
(R) : When the body is in uniform circular motion, acceleration is zero.

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 correct explanation of (A)

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 the two statements provided: 1. **Assertion (A)**: Force is required to move a body uniformly along a circle. 2. **Reason (R)**: When the body is in uniform circular motion, acceleration is zero. ### Step-by-Step Solution: **Step 1: Analyze the Assertion (A)** - The assertion states that a force is required to move a body uniformly along a circle. - According to Newton's first law of motion, an object will remain at rest or move in a straight line at constant speed unless acted upon by a net external force. - In the case of circular motion, even if the speed is constant, the direction of the velocity is continuously changing. This change in direction requires a centripetal force directed towards the center of the circle. - Therefore, the assertion is **true**. **Step 2: Analyze the Reason (R)** - The reason states that when a body is in uniform circular motion, acceleration is zero. - In uniform circular motion, while the speed (magnitude of velocity) remains constant, the direction of the velocity vector changes continuously. - Acceleration is defined as the rate of change of velocity. Since the direction of the velocity is changing, there is a non-zero acceleration (centripetal acceleration) directed towards the center of the circle. - Therefore, the reason is **false**. **Step 3: Conclusion** - The assertion (A) is true, while the reason (R) is false. - Thus, the correct answer is that A is true, but R is false.
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