JEE Mains (Friction)

A body of mass m=10⁻² kg is moving in a medium and experiences a frictional force F=−kv². Its initial speed is v₀= 10 ms⁻¹. If, after 10 s, its energy is ⅛ mv₀², the value of k will be

(a) 10⁻³ kg m⁻¹

(b) 10⁻³ kg s⁻¹

(c) 10⁻⁴ kg m⁻¹

(d) 10⁻¹ kg m⁻¹ s⁻¹