Question

In: Physics

light passes through a single slit of width 8.77 x 10^-6 m. The second (m =...

light passes through a single slit of width 8.77 x 10^-6 m. The second (m = 2) light diffraction minimum occurs at an angle of 5.62°. What is the wavelength of the light, in nanometers?

Solutions

Expert Solution

The single slit diffraction: When light passes through a single slit whose width is of the same order as wavelength of the light, then we can observe a single slit diffraction pattern on a screen.

At minimum we see dark fringes due the destructive interference of light. Dark fringes in the diffraction pattern of a single slit are found at angles for which    ..............................

where is an integer, = 1, 2, 3, ... .   For the first dark fringe we have m=1.

Now coming to the question

given =2 (2nd dark fringe means second diffraction minimum) , ,

using equation   

so   


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