The light that hits the slits has a wavelength of [tex]5.692 *10^{-4} m[/tex]
Fringe separation = 2.90 mm = 0.0029 m
Slit separation = 0.420 mm = 0.00042 m
Screen distance from slits =2.14 mm = 0.00214 mm
Wavelength is given by the following relation;
Wavelength = Fringe Separation * Slit Separation / Distance from the slit to Screen
Thus,
Putting all the given values in the above formula,
We evaluate the wavelength in the following way, we get
Wavelength = [tex]\frac{0.0029 *0.00042}{0.00241}[/tex] = [tex]5.692 *10^{-4}[/tex] m
The light's wavelength when it hits the slits is [tex]5.692 *10^{-4}[/tex] m
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