For a particle in a uniformly accelerated circular motiona)Velocity is...
Explanation:
When a particle moves in a uniformly accelerated circular motion, its velocity and acceleration vectors are not in the same direction. The velocity vector is always tangent to the circle, while the acceleration vector is directed towards the center of the circle.
Velocity Vector:
The velocity vector is always tangent to the circle. This means that the direction of the velocity vector is perpendicular to the radius of the circle at any point. Therefore, the velocity vector is always transverse to the radius of the circle.
Acceleration Vector:
The acceleration vector is directed towards the center of the circle. This means that the direction of the acceleration vector is along the radius of the circle at any point. Therefore, the acceleration vector is always radial to the circle.
Radial and Transverse components:
Since the velocity vector is transverse to the radius of the circle, it has no radial component. However, the acceleration vector has both radial and transverse components. The radial component of the acceleration vector is responsible for changing the direction of the velocity vector, while the transverse component of the acceleration vector is responsible for changing the magnitude of the velocity vector.
Conclusion:
Therefore, from the above explanation, we can conclude that the correct answer is option 'D', which states that the velocity is transverse and acceleration has both radial and transverse components.