Ascientist directs monochromatic light toward a single slit in an opaque barrier. the light has a wavelength of 580 nm and the slit is 0.215 mm wide. the light that passes through the slit creates a diffraction pattern on a screen, which is 1.80 m from the slit. (a) how wide (in mm) is the central maximum (the central, bright fringe), as measured on the screen? mm
(b) how wide (in mm) is either of the two first-order bright fringes, as measured on the screen? mm

a) 9.72 mm

b) 4.86 mm

Explanation:

wave length of light  λ is  580 nm = 580 \times 10⁻⁹ m

Width of slit d = 0.215\times 10⁻³ m

Distance of screen D  = 1.8 m.

Width of one fringe =

Putting the values we get fringe width

=

=4.86 mm.

a) Width of central maxima = 2 times width of one fringe

= 2 times 4.86

=9.72 mm

b) width of each fringe except central fringe  is same , no matter what the order is.Only brightness changes .

So width of either of the two first order bright fringe will be same and it will be  

= 4.86 mm.

a straight line sloped

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