# A force F= −K𝐾(𝑦î+ 𝑥j)̂ (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 (𝑎,a). The total work done by the force F⃗ on the particle is

Question : A force F= −K𝐾(𝑦î+ 𝑥j)̂ (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 (𝑎,a). The total work done by the force F⃗ on the particle is

(A) $-2ka^{2}$

(B) $2ka^{2}$

(C) $-ka^{2}$

(D) $ka^{2}$