A ray of light contains two colors: red with wavelength of 660 nm and blue with wavelength 470 nm. The ray passes through two narrow slits separated by 0.30 mm and the interference pattern is observed on a screen 5.0 m from the slits. What is the distance on the screen between the first-order bright fringes for each wavelength?

The distance on the screen between the first-order bright fringes  for each wavelength is 3.17 mm.

Explanation:

Given that,

Wavelength of red = 660 nm

Wavelength of blue = 470 nm

Separated d= 0.30 mm

Distance between screen and slits D= 5.0 m

We need to calculate the distance for red wavelength

Using formula for distance

Where, D = distance between screen and slits

d = separation of slits

Put the value into the formula

For blue wavelength,

Put the value into the formula again

We need to calculate the distance on the screen between the first-order bright fringes for each wavelength

Using formula for distance

Hence, The distance on the screen between the first-order bright fringes  for each wavelength is 3.17 mm.

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