A pair of narrow, parallel slits separated by 0.240 mm is illuminated by the gre

Question

A pair of narrow, parallel slits separated by 0.240 mm is illuminated by the green component from amercury vapor lamp ( = 546.1 nm). The interferencepattern is observed on a screen 1.24 mfrom the plane of the parallel slits. (a) Calculate the distance from the centralmaximum to the first bright region on either side of the centralmaximum.
1 mm

(b) Calculate the distance between the first and second dark bandsin the interference pattern.
2 mm (a) Calculate the distance from the centralmaximum to the first bright region on either side of the centralmaximum.
1 mm

(b) Calculate the distance between the first and second dark bandsin the interference pattern.
2 mm

Explanation / Answer

   Given   slitseparation      d   =   0.240mm                                                    =   2.40* 10-4   m          distancebetween slits andscreen      D   =   1.24   m          wavelength         =   546.1   nm                                        =   5.461* 10-7   m    a.   Positionof nthmaxima         yn   =   n* D * / d          forn   =   1       y1   =   1* 1.24 * 5.461 * 10-7 / 2.40 * 10-4             =   2.82* 10-3   m             =   2.82    mm             =   2.82* 10-3   m             =   2.82    mm    b.   Distance betwwen twodark fringes ( fringewidth)      =   D* / d
                     =   1.24* 5.461 * 10-7 / 2.40 * 10-4

                     =   2.82    mm    

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