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Two thin parallel slits that are 0.0106 mm apart are illuminated by a laser beam of wavelength 580 nm Part A For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Broadcast pattern of a radio station. How many bright fringes are there in the angular range of 0 < 0 < 25° ? Express your answer as an integer. VO AQ R O 2 ? bright fringes Submit Request Answer u Revie Submit Request Answer Two thin parallel slits that are 0.0106 mm apart are illuminated by a laser beam of wavelength 580 nm Part B For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Broadcast pattern of a radio station. How many dark fringes are there in the range given in part A? Express your answer as an integer. IVA O ?

Answer :

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Answer:

Part A

There are  7 bright fringes in the angular range  

Part B

There are 8 dark fringe in the angular range

Explanation:

From the question we are told that the

         distance between the slit is  [tex]d = 0.0106 \ mm = 0.0106*10^{-3}m[/tex]

         The wavelength is  [tex]\lambda = 580nm = 580 *10^{-9}m[/tex]

          The angle between the center and the brightest fringe = [tex]\theta = 25^o[/tex]

This destructive interference for bright fringe  is mathematically represented as

          [tex]dsin\theta = \lambda n[/tex]

Where n is the number of bright fringe

  Making n the subject of the formula

           [tex]n = \frac{d sin \theta }{\lambda}[/tex]

Substituting values

          [tex]n = \frac{0.0106*10^{-03} sin (25)}{580 *10^{-9}}[/tex]

             [tex]= 7[/tex]

The number of dark fringe is mathematically evaluated as

              [tex]n_d = \frac{dsin \theta }{\lambda } +\frac{1}{2}[/tex]

                  [tex]n_d= \frac{0.0106 *10^{-3} sin (25)}{580*10^{-9}} + \frac{1}{2}[/tex]

                        [tex]= 8[/tex]

               

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