Question

# A particle of mass moves along the quarter section of the circular path whose centre is at the origin. The radius of the circular path is . A force newton acts on the particle, where denote the coordinates of position of the particle. The work done by this force in taking the particle from point A () to point B () along the circular path is

A
B
C
D
Hard
Solution
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Correct option is C)

## .........(1) Alternate Method : It can be observed that the force is tangent to the curve at each point and the magnitude is constant. The direction of force is opposite to the direction of motion of the particle.  work done = (force) (distance)

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