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Assertion: A frame moving in a circle wi...

Assertion: A frame moving in a circle with constant speed can never be an inertial frame.
Reason: It has a constant acceleration.

A

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

B

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

C

If Assertion is true, true but the Reason is false.

D

If Assertion is false but the 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 "A frame moving in a circle with constant speed can never be an inertial frame." - An inertial frame is defined as a frame of reference in which an object either remains at rest or moves at a constant velocity unless acted upon by an external force. - In a circular motion, even though the speed is constant, the direction of the velocity vector is continuously changing. This change in direction implies that there is an acceleration acting on the object, which is directed towards the center of the circular path (centripetal acceleration). ### Step 2: Analyze the Reason The reason states that "It has a constant acceleration." - While it is true that an object in circular motion experiences acceleration, it is important to note that this acceleration is not constant in the sense of having a fixed direction. - The magnitude of the centripetal acceleration remains constant if the speed is constant, but the direction of this acceleration is always changing as the object moves along the circular path. ### Step 3: Conclusion - Since the frame moving in a circle with constant speed experiences continuous acceleration (due to the change in direction), it cannot be considered an inertial frame. Therefore, the assertion is true. - However, the reason is misleading because it implies that the acceleration is constant in both magnitude and direction, which is not the case. The direction of the acceleration changes continuously, so the reason is false. ### Final Answer - Assertion: True - Reason: False

To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that "A frame moving in a circle with constant speed can never be an inertial frame." - An inertial frame is defined as a frame of reference in which an object either remains at rest or moves at a constant velocity unless acted upon by an external force. - In a circular motion, even though the speed is constant, the direction of the velocity vector is continuously changing. This change in direction implies that there is an acceleration acting on the object, which is directed towards the center of the circular path (centripetal acceleration). ...
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DC PANDEY ENGLISH-CIRCULAR MOTION-Assertion And Reason
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  14. Assertion : A uniform circular motion is an accelerated motion. Reas...

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  15. Assertion In circular motion, dot product of v and omega is always ze...

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  16. STATEMENT -1 : In non - uniform circular motion acceleration of a part...

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