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Assertion If a particle is rotating in a...

Assertion If a particle is rotating in a circle, then centrifugal force is acting on the particle in radially outward direction .
Reason centrifugal force is equal and opposite to the centripetel force.

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-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that if a particle is rotating in a circle, then a centrifugal force acts on the particle in a radially outward direction. - This statement is true when viewed from a rotating (non-inertial) frame of reference. In such a frame, an observer would feel a force pushing them outward, which is referred to as the centrifugal force. 2. **Understanding the Reason**: - The reason states that the centrifugal force is equal and opposite to the centripetal force. - This is also true. The centripetal force is the net force acting on the particle directed towards the center of the circular path, necessary for circular motion. In a non-inertial frame, the centrifugal force appears to balance this centripetal force, making them equal in magnitude and opposite in direction. 3. **Conclusion**: - Both the assertion and the reason are true. - The reason correctly explains the assertion because the centrifugal force is indeed a fictitious force that arises in a non-inertial frame to account for the effects of the centripetal force acting on the particle. ### Final Answer: Both the assertion and reason are true, and the reason correctly explains the assertion.

To solve the question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that if a particle is rotating in a circle, then a centrifugal force acts on the particle in a radially outward direction. - This statement is true when viewed from a rotating (non-inertial) frame of reference. In such a frame, an observer would feel a force pushing them outward, which is referred to as the centrifugal force. ...
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Knowledge Check

  • Angular momentum of the particle rotating with a central force is constant due to

    A
    constant torque
    B
    constant force
    C
    constant linear momentum
    D
    zero torque
  • A particle is taken round a circle by the application of force. The work done by the force is

    A
    positive non-zero
    B
    negative non-zero
    C
    zero
    D
    none of the above
  • In the question number 77, the force acting 011 thr particle is

    A
    `momega^(2)overset(rightarrow)(r)`
    B
    `-momega^(2)overset(rightarrow)(r)`
    C
    `2momega^(2)overset(rightarrow)(r)`
    D
    `-2momega^(2)overset(rightarrow)(r)`
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