(a, c, d)

Since, the impulse is applied along a horizontal diameter, therefore, due to that impulse the sphere starts to move translationally without any rotational motion. Since the floor is rough, therefore, friction comes into existence and that opposes forward sliding of the sphere as shown in figure. Hence, friction acts along backward direction which not only provides a retarding force but produces an accelerating moment also. Due to that moment the sphere experiences an angular acceleration. Hence, initially translational velocity of the sphere decreases but angular velocity increases Therefore, KE of the sphere initially decreases. Rotational motion is accelerated till angular velocity ( ω ) becomes equal to and then the friction disappears. Hence, then total energy of sphere remains constant. Therefore, option alone is correct and rest options are incorrect.