Answer:
Wavelength of light will be 632.73 nm
Explanation:
We have given width of the single slit [tex]d=1850nm-1850\times 10^{-9}m[/tex]
Angle is given as [tex]\Theta =20^{\circ}[/tex]
We have to find the wavelength of light for first dark fringe
We know that for dark fringe it is given that
[tex]dsin\Theta =n\lambda[/tex]
For first fringe n = 1
So [tex]1850\times 10^{-9}\times sin20^{\circ} =1\times \lambda[/tex]
[tex]\lambda =632.73nm[/tex]