Answer:
The width of Center bright fringe is 10.2mm
Step-by-step explanation:
Given that if 
Y/ L << 1 then 
Sin theta will be approx Y/L
So sin theta approx Y/L = lamda/a
 Y= a x lambda/a
By substituting
1.9x 10^ -3m x 550*10^-9/ 0.2 x 10^-3m
= 5.2mm
But 
Change in y = 2y = 10.4mm