The work done on a particle of mass m by a force K x x 2 + y 2 3 / 2 i ^ + y x 2 + y 2 3 / 2 j ^ (K being a constant of appropriate dimensions, when the particle is taken from the point (a,0) to the point (0,a) along a circular path of radi

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The work done on a particle of mass m by a force K x x 2 + y 2 3 / 2 i ^ + y x 2 + y 2 3 / 2 j ^ (K being a constant of appropriate dimensions, when the particle is taken from the point (a,0) to the point (0,a) along a circular path of radius a about the origin in the x-y plane is

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Correct answer: D. 0

dw = = F &rarr; &middot; d r &rarr; = F &rarr; &middot; dx i ^ + dy j ^ = K &int; xdx x 2 + y 2 3 / 2 + ydy x 2 + y 2 3 / 2 ​ x 2 + y 2 = a 2 w = K a 3 &int; a 0 xdx + &int; 0 a ydy = K a 3 - a 2 2 + a 2 2 = 0 .

The work done on a particle of mass m by a force K x x 2 + y 2 3 / 2 i ^ + y x 2 + y 2 3 / 2 j ^ (K being a constant of appropriate dimensions, when the particle is taken from the point (a,0) to the point (0,a) along a circular path of radius a about the origin in the x-y plane is

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