ooo T-Mobile LTE 1:23 AM capa8.phy.ohio.edu When coherent (all in phase), monoch

Question

ooo T-Mobile LTE 1:23 AM capa8.phy.ohio.edu When coherent (all in phase), monochromatic (single color or frequency) light passes through a pair of slits, one observes a pattern of dark and bright bands on a screen. When you increase the number of slits, much more light makes it through the openings and the interference effects become much more pronounced Thus you get a brighter set of spots and much sharper bright spots. A diffraction grating has a lot of tiny parallel slits. The angle at which you find constructive interference can be determined using the same formula as with Youngs Double Slit experiment. The one adjustment is that you need to convert the line density (number of lines per unit length) into the distance between adjacent slits (see the text). Suppose you have a diffraction grating which has 500. lines/mm and you shine light with a wavelength of 462 nm through it. What is the angle at which you will observe the second order (m-2) bright fringe? Submit Answer Tries 0/10 If the screen is 2.10 m away from the diffraction grating, what is the distance on the screen between the bright central and the second order bright fringe? Submit Answer Tries 0/10 This discussion is closed. Send Feedback

Explanation / Answer

1) n = 500 lines/mm

     d = 1/n = 1/500 mm = 2*10^-6 m

= 462 nm

m = 2

For bright fringes in double slit diffraction,

sin = m/d = (2*462*10^-9)/(2*10^-6) = 0.462

= 27.5 degree

2) L = 2.1 m

    m = 2

    y = L*tan = 2.1*tan27.5 = 1.1 m

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