Answer:
The distance between the slits is [tex]1.3\times10^{-4}\ m[/tex].
Explanation:
Given that,
The wavelength of the monochromatic light [tex]\lambda= 6.4\times10^{-7}\ m[/tex]
Distance = 4.0 m
Width [tex]\beta = 2.0\times10^{-2}[/tex]
Using formula of the distance between the slits
[tex]d = \dfrac{n\lambda D}{x}[/tex]
Where, x = distance from central fringe
D = Distance between the slit and screen
d = distance between the slits
n = number of order
[tex]\lambda[/tex]=wavelength
Put the value into the formula
[tex]d=\dfrac{1\times6.4\times10^{-7}\times4.0}{2.0\times10^{-2}}[/tex]
[tex]d =1.3\times10^{-4}\ m[/tex]
Hence, The distance between the slits is [tex]1.3\times10^{-4}\ m[/tex].
