Question

Coherent light that contains two wavelengths 700nm and 400nm passes through two narrow slits with a separation of 0.2mm and an interference pattern is obeserved on a screen which is a distance 4.00m from the slits.

Part A

What is the disatnce on the screen between the first order maxima for the two wavelength. answer in mm

Answer 1

Now, for x = 4008 10-9 For a eight of wavelength x', the position of wth order bright fringe is Yu had -9 = 700 x 10 m m and 2 2 Ay= ndd d ndo d For first order. n=1 = 68103 m d -9 Ay= (^2-2,). (700-400) x 10 x 4 0.2 x 10-3 Hence, the distance between the first order maximas = 6 mm

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