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A force vec(F) = - K (y hat(i) + x hat(j...

A force `vec(F) = - K (y hat(i) + x hat(j))` (where K is a positive constant) acts on a particle 'moving in the `x - y` plane. Starting from the origin, the particle is taken along the positive x-axis to the point `(a, 0)` and then parallel to the y-axis to the point `(a, a)`. The total work.done by the force F on the particle is:

A

`-2Ka^2`

B

`2Ka^2`

C

`-Kalpha^2`

D

`Ka^2`

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The correct Answer is:
C
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