You illuminate a slit with a width of 77.7 μm with a light of wavelength 721 nm and observe the resulting diffraction pattern on a screen that is situated 2.83 m from the slit. What is the width, in centimeters, of the pattern's central maximum

The width is  

Explanation:

From the question we are told that

    The width of the slit is

    The wavelength of the light is  

      The position of the screen is  

Generally angle at which the first minimum  of the interference pattern the  light occurs  is mathematically  represented as

Where m which is the order of the interference is 1

substituting values

 Now the width of first minimum  of the interference pattern is mathematically evaluated as

substituting values

 Now the width of  the  pattern's central maximum is mathematically evaluated as

substituting values

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