Question

If a particle is executing a uniform circular motion. Then which of the following is true?

• A. its speed is constant and it has no acceleration
• B. its speed is increasing and the acceleration of the particle is along its direction of motion
• C. its speed is constant and the magnitude of its acceleration is proportional to its curvature
• D. direction of its acceleration cannot be along the tangent.

Answer 1

Answer: (C), (D)

The correct options are
C its speed is constant and the magnitude of its acceleration is proportional to its curvature
D direction of its acceleration cannot be along the tangent.

Option A: the particle is moving along a curve its speed is constant but the direction of velocity keeps on changing hence produces acceleration hence is wrongOption B: is wrong as speed is always constant.
Option C: its speed is constant and the magnitude of its acceleration is proportional to its curvature is correct
Option D: the direction of its acceleration cannot be along the tangent.
as acceleration is always inside and perpendicular to tangent hence it is also correct