Right choice is (b) 1.6 A
To explain I would say: The diode is active only during Toff.
If Ton = 0.8 then Toff = 0.2
Output voltage Vo = 0.8 x 100 = 80 V
When D is active during Toff, consider inductor as a short circuit thus, Id = (VoxToff)/R = 80 x 0.2/10 = 1.6 A.