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    In uniform circular motion the following quantities remain constant-
    Question

    In uniform circular motion the following quantities remain constant-

    A.

    speed

    B.

    velocity

    C.

    momentum

    D.

    acceleration

    Correct option is A

    The correct answer is (a) speed.

    In uniform circular motion:

    1. Speed remains constant:

      • The object moves at a constant distance from the center of the circular path, and its magnitude of motion does not change.
    2. Velocity does not remain constant:

      • Velocity is a vector quantity that depends on both magnitude and direction.
      • Since the direction of motion changes continuously along the circular path, velocity is not constant.
    3. Momentum changes:

      • Momentum is the product of mass and velocity.
      • Since velocity changes due to its changing direction, momentum also changes in uniform circular motion.
    4. Acceleration is present:

      • Acceleration is always directed toward the center of the circle (centripetal acceleration).
      • It is responsible for continuously changing the direction of velocity, even though the speed remains constant.

    Thus, speed is the only quantity that remains constant in uniform circular motion.

    Additional Information:

    • Speed: The scalar magnitude of motion along a circular path, constant in uniform circular motion.
    • Velocity: A vector quantity that changes continuously due to the change in direction.
    • Momentum: Dependent on velocity, hence changes as velocity changes.
    • Acceleration: Exists due to the centripetal force acting toward the center, constantly changing the velocity’s direction.

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