The distance between the central maximum and the first minimum is given by:
d = 位D/d
where 位 is the wavelength of light, D is the distance between the slits and the screen, and d is the distance between the two slits.
Plugging in the values, we get:
d = (5000 脳 10^-10)m 脳 200m / 0.0002m
d = 0.1m
Therefore, the distance between successive maxima is d/2 = 0.05m.
The third maximum is located at x = 3d/2, or:
x = 3(0.05m) / 2
x = 0.075m
So the third maximum is located 7.5 cm away from the central maximum.