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.

Step-by-Step Explanation:

1. Concept of Uniform Speed:
When a particle moves along a circular path with a uniform speed, it is undergoing uniform circular motion. By definition, "uniform speed" means that the magnitude of the particle's velocity remains constant over time.

2. Speed vs. Velocity:
It is important to distinguish between speed and velocity. As the particle moves along the circle, the direction of its motion changes continuously, which means its velocity vector is changing. However, the magnitude of this velocity vector, which is the speed, does not change.

3. Evaluating after an angle of 60°:
The particle starts with a speed of:
$v$
Since the speed is uniform, it remains constant at every point along the circular path. Therefore, after the particle has turned through an angle of 60° (or any other angle), the magnitude of its speed remains:
$v$