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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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