Coherent light that contains two wavelength, 660 nm (red) and 470nm (blue), passes through two narrow slits separated by 0.300 mm, and the interference pattern is observed on a screen 5.00 m fromthe slits. What is the distance on the screen between thefirst-order bright fringes for the two wavelengths?

Distance on the screen between thefirst-order bright fringes for the two wavelengths = 0.0032 m

Explanation:

The formula for a first order bright fringe is given by:

ym=R(mλ/d)

Distance between the screen and the slits, R = 5 m

Separation of the two narrow slits, d = 0.300 mm = 0.0003 m

The fringe is a first order bright fringe:

Order of the bright fringe, n = 1

Wavelength for the red light,  λ =660 nm = 660*10⁻⁹ m

Wavelength for the blue light, λ =470 nm =470*10⁻⁹ m

For the first order bright fringe for red light:

For the first order bright fringe for blue light:

Distance between the first order bright fringes for the two wavelengths

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