Question

Monochromatic light of wavelength lambda is incident on a pair of slits separated by $2.80 imes 10^{-4}$ m, and forms an interference pattern on a screen placed 1.50 m away from the slits. The first-order bright fringe is 4.58 mm from the center of the central maximum. (a) Draw a picture, labeling the angle $ heta$ and the legs of the right triangle associated with the first-order bright fringe. (Do this on paper. Your instructor may ask you to turn in this work.) (b) Compute the tangent of the angle $ heta$ associated with the first-order bright fringe. $ an( heta) = $ (c) Find the angle corresponding to the first-order bright fringe and compute the sine of that angle. $ heta_1 = $ $sin heta_1 = $ Are the sine and tangent of the angle comparable in value? Does your answer always hold true? Explain. This answer has not been graded yet. (d) Calculate the wavelength of the light. nm (e) Compute the angle of the fifth-order bright fringe. $^circ$ (f) Find its position on the screen. cm

          Monochromatic light of wavelength lambda is incident on a pair of slits separated by $2.80 	imes 10^{-4}$ m, and forms an interference pattern on a screen placed 1.50 m away from the slits. The first-order bright fringe is 4.58 mm from the center of the central maximum.
(a) Draw a picture, labeling the angle $	heta$ and the legs of the right triangle associated with the first-order bright fringe. (Do this on paper. Your instructor may ask you to turn in this work.)
(b) Compute the tangent of the angle $	heta$ associated with the first-order bright fringe.
$	an(	heta) = $
(c) Find the angle corresponding to the first-order bright fringe and compute the sine of that angle.
$	heta_1 = $
$sin 	heta_1 = $
Are the sine and tangent of the angle comparable in value? Does your answer always hold true? Explain.
This answer has not been graded yet.
(d) Calculate the wavelength of the light.
 nm
(e) Compute the angle of the fifth-order bright fringe.
 $^circ$
(f) Find its position on the screen.
 cm

Monochromatic light of wavelength lambda is incident on a pair of slits separated by 2.80 imes 10^-4 m, and forms an interference pattern on a screen placed 1.50 m away from the slits. The first-order bright fringe is 4.58 mm from the center of the central maximum.
(a) Draw a picture, labeling the angle heta and the legs of the right triangle associated with the first-order bright fringe. (Do this on paper. Your instructor may ask you to turn in this work.)
(b) Compute the tangent of the angle heta associated with the first-order bright fringe.
an( heta) =
(c) Find the angle corresponding to the first-order bright fringe and compute the sine of that angle.
heta1 =
sin heta1 =
Are the sine and tangent of the angle comparable in value? Does your answer always hold true? Explain.
This answer has not been graded yet.
(d) Calculate the wavelength of the light.
nm
(e) Compute the angle of the fifth-order bright fringe.
^circ
(f) Find its position on the screen.
cm

Added by Justin B.

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