Question

If a particle executes uniform circular motion, choose the correct statement
(a) The velocity and speed are constant.
(b) The acceleration and speed are constant.
(c) The velocity and acceleration are constant.
(d) The speed and magnitude of acceleration are constant.

Answer 1

Answer ⇒ Option (d). Speed  and the magnitude of the acceleration remains constant. 

Explanation ⇒
In the uniform circular motion, speed of the object the remains the constant. When the body moves in the circular path, the direction of the body changes at every instant.  Thus, velocity in the uniform circular motion case is not constant, although its magnitude will be same. 

Now, Acceleration depends upon the velocity. If the velocity is variable then the acceleration will also be variable but its magnitude will not be changes similar to the velocity.  

Hence, Option (d). is correct.


Hope it helps.

Answer 2

Answer:

d) The speed and magnitude of acceleration are constant

Explanation:

    In uniform circular motion , the velocity is always changing but speed remains the same. Physically it implies that magnitude of vector remains constant and only the direction changes continuously.

if the velocity changes in both speed and direction during the circular motion, we get non uniform circular motion.