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Assertion uniform circular motion is uni...

Assertion uniform circular motion is uniformly accelerated motion.
Reason acceleration in uniform circular motion is always towards centre.

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

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The correct Answer is:
To solve the question, we need to analyze the assertion and the reason provided: **Assertion:** Uniform circular motion is uniformly accelerated motion. **Reason:** Acceleration in uniform circular motion is always towards the center. ### Step-by-Step Solution: 1. **Understanding Uniform Circular Motion:** - In uniform circular motion, an object moves in a circular path with a constant speed. This means that while the speed (magnitude of velocity) remains constant, the direction of the velocity vector changes continuously. 2. **Acceleration in Uniform Circular Motion:** - Even though the speed is constant, the change in direction of the velocity vector indicates that there is an acceleration acting on the object. This acceleration is called centripetal acceleration, which always points towards the center of the circular path. 3. **Definition of Uniformly Accelerated Motion:** - Uniformly accelerated motion is defined as motion in which the velocity of an object changes at a constant rate. This implies that both the magnitude and direction of the velocity can change. 4. **Analyzing the Assertion:** - The assertion states that uniform circular motion is uniformly accelerated motion. However, in uniform circular motion, the speed remains constant (magnitude of velocity does not change), and only the direction changes. Therefore, the assertion is **false**. 5. **Analyzing the Reason:** - The reason states that acceleration in uniform circular motion is always towards the center. This is true because the centripetal acceleration is responsible for changing the direction of the velocity vector, keeping the object in circular motion. 6. **Conclusion:** - Since the assertion is false and the reason is true, the correct evaluation of the statement is that the assertion is incorrect while the reason is correct. ### Final Answer: - The assertion is false, and the reason is true.

To solve the question, we need to analyze the assertion and the reason provided: **Assertion:** Uniform circular motion is uniformly accelerated motion. **Reason:** Acceleration in uniform circular motion is always towards the center. ### Step-by-Step Solution: 1. **Understanding Uniform Circular Motion:** ...
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Knowledge Check

  • In a non- uniform circular motion

    A
    Tangential acceleration `(a_(t))` is zero
    B
    Radial acceleration `(a_(R))` is zero
    C
    Both (1) & (2) are correct
    D
    Both `a_(t) & a_(R)` are non zero
  • The uniform circular motion is accelerated motion, because

    A
    the motion accelerates due to the change in velocity
    B
    the motion accelerates due to the change in angular velocity
    C
    the motion accelerates due to the force
    D
    all of these
  • Uniform circular motion is an example of

    A
    constant speed motion
    B
    constant velocity motion
    C
    non-accelerated motion
    D
    Zero accelerated motion
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