Answer:
[tex]0.2[/tex] mm
Explanation:
As we know that
[tex]Y = \frac{m\lambda * D}{d}[/tex]
where
m represents the order of minimum
y represents the distance on the screen of the minimum from central axis
λ is the wavelength of the light
D is the distance between screen-to-slit
d represents the width of the slit
For first minima
[tex]y_1 = \frac{1 * 633 * 10^{-9}*1.5}{d}[/tex]
For second minima
[tex]y_2 = \frac{2 * 633 * 10^{-9}*1.5}{d}[/tex]
[tex]Y_2 - Y_1 = 0.00475m\\\frac{633 * 10^{-9} * 1.5 }{d} = 0.00475\\d = 0.0002 m\\d = 0.2 mm[/tex]
