Monochromatic light of wavelength A is incident on a pair of slits separated by 2.75 x 10m and forms an interference pattern on a screen placed 2.05 m from the shits. The fist-order bright fringe is at a position y 4.43 mm measured from the center of the central maximum. From this information, we wish to predict where the fringe for n 50 would be located. (a) Assuming the fringes are laid out inearly along the screen, find the position of the n-50 fringe by multiplying the position of the n-1 fringe by 50. (b) Find the tangent of the angle the first-order bright fringe makes with respect to the line extending from the point midway between the sits to the center of the central maximum. (c) Using the result of part (b) and dsinemi, calculate the wavelength of the light. nm (d) Compute the angle for the 50th-order bright fringe from dsind
Monochromatic light of wavelength A is incident on a pair of slits separated by 2.75 x 10m and forms an interference pattern on a screen placed 2.05 m from the shits. The fist-order bright fringe is at a position y 4.43 mm measured from the center of the central maximum. From this information, we wish to predict where the fringe for n 50 would be located. (a) Assuming the fringes are laid out inearly along the screen, find the position of the n-50 fringe by multiplying the position of the n-1 fringe by 50. (b) Find the tangent of the angle the first-order bright fringe makes with respect to the line extending from the point midway between the sits to the center of the central maximum. (c) Using the result of part (b) and dsinemi, calculate the wavelength of the light. nm (d) Compute the angle for the 50th-order bright fringe from dsind
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Transcribed Image Text:Monochromatic light of wavelength A is incident on a pair of slits separated by 2.75 x 104m and forms an interference pattern on a screen placed 2.05 m from
the slits. The first-order bright fringe is at a position yhy4.43 mm measured from the center of the central maximum. From this information, we wish to
predict where the fringe for n 50 would be located.
(a) Assuming the fringes are laid out linearly along the screen, find the position of the n 50 fringe by multiplying the position of the n-1 fringe by S0.0.
m
(b) Find the tangent of the angle the first-order bright fringe makes with respect to the line extending from the point midway between the slits to the
center of the central maximum.
(c) Using the result of part (b) and dsine mi, calculate the wavelength of the light.
nm
(d) Compute the angle for the 50th-order bright fringe fram dsindaht mi.
(e) Find the position of the 50th-order bright fringe on the screen from ybrioht Ltaneright
() Comment on the agreement between the answers to parts (a) and
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