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Monochromatic light with a 462 nm wavelength passes through a 750 μm wide single slit on...

Monochromatic light with a 462 nm wavelength passes through a 750 μm wide single slit on its way to a viewing screen 2.51 m beyond the slit. A converging lens with focal length f = 4.92 m is placed directly behind the slit.

Determine the width of the central maximum with the added lens. You may assume the small angle approximation applies.

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Answer #1

For diffraction pattern :

a is the slit width

Due to small angle approximation :

Where,

Therefore,

Now, fringe width is given by :

Therefore, width of central fring is given by :

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