The correct option is C (CH3)3CH+Cl2+hv→
In presence of sunlight, the chlorine molecule undergoes homolytic fission to form chlorine free radical. It reacts with (CH3)3CH to form (CH3)3C⋅ free radical. Thus the reaction proceeds by free radical mechanism.
Thus the carbocation is not involved in the mechanism for the reaction (CH3)3CH+Cl2+hv→.