A particle moves along a circle with a uniform speed v. After it has made an angle of 60° its speed will be

The correct option is v.

Let's understand the concept step-by-step:

1. Uniform Circular Motion:
When a particle moves along a circular path with a uniform speed, it is in a state of uniform circular motion. By definition, "uniform speed" means that the magnitude of the velocity of the particle remains constant throughout its motion.

2. Speed vs. Velocity:
Speed is a scalar quantity, representing only the magnitude of motion (how fast the particle is moving). Velocity is a vector quantity, representing both magnitude (speed) and direction. While the direction of the velocity vector changes continuously as the particle moves along the circle, its magnitude—which is the speed—does not change.

3. Analyzing the Given Condition:
The particle covers an angular displacement of $60°$. Since the speed is uniform, it remains constant at every point along the circular path, regardless of the angle the particle has traversed.

Therefore, after the particle has made an angle of $60°$, its speed will still be $v$.