The areal velocity of a particle moving along a plane curve has magnitude

Correct option is D

Concept:
Areal velocity is defined as the rate at which area is swept by the position vector of a particle moving in a plane.
It is given by the formula: $$\text{Areal Velocity} = \frac{1}{2} r^2 \frac{d\theta}{dt}$$

Where:
• r = radius vector (distance from origin),
• $$\frac{d\theta}{dt }$$​= angular velocity.
Final Answer:
Option D:
​$$\frac{1}{2} r^2 \theta'$$​​
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