Part (d) Express X in terms of w, D, and L. A = Part (e) Solve for the numerical value of X, in nanometers. A =

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Light is sent through a single slit of width w = 0.62 mm. On a screen, which is L = 1.5
m from the slit, the width of the central maximum is D = 4.46 mm.
W
TI
50dark
Odark
L
O
Part (a) The angle of the first dark fringe is Odark. Express sin(edark) in terms of the
wavelength of the light λ and w.
sin (Odark) =
Part (b) Express tan (0dark) in terms of D and L.
tan(0dark) =
Part (c) If D <<< L, how is tan(edark) related to sin(edark)?
tan(@dark) =
Transcribed Image Text:Light is sent through a single slit of width w = 0.62 mm. On a screen, which is L = 1.5 m from the slit, the width of the central maximum is D = 4.46 mm. W TI 50dark Odark L O Part (a) The angle of the first dark fringe is Odark. Express sin(edark) in terms of the wavelength of the light λ and w. sin (Odark) = Part (b) Express tan (0dark) in terms of D and L. tan(0dark) = Part (c) If D <<< L, how is tan(edark) related to sin(edark)? tan(@dark) =
Part (d) Express A in terms of w, D, and L.
A =
Part (e)
A =
Solve for the numerical value of X, in nanometers.
Transcribed Image Text:Part (d) Express A in terms of w, D, and L. A = Part (e) A = Solve for the numerical value of X, in nanometers.
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