Problem 8: Assume the double-slit experiment described in Problem 6 (with the 3rd dark fringe observed at +36.0° from the central bright one) was actually perfomed when the entire apparatus (laser, double-slit, screen) was immersed in air. At what angle, 0, measured from the central bright fringe, will the 3rd dark fringe be observed if that same entire apparatus is now submerged in water, with an index of refraction nwater = 1.33? Hints: For air, nAir = 1.00. The vacuum wavelength of the laser and the distance between the two slits is the same in both experiments. (A) ±28.0° (B) A 3rd dark fringe cannot be observed under water. (C) ±26.2° (D) ±51.42° (E) ±15.4° Problem 6: If a double-slit is illuminated at normal incidence by coherent (laser) light it produces, on a screen parallel to and far away from the slits, its 3rd dark fringe (=intensity minimum), at an angle of +36.0°, measured from the central bright fringe (=intensity maxi- mum). At what angle, 0, measured from the central bright fringe, will the 2nd dark fringe appear? (All dark fringes are counted here from the central bright one, going outward. So, the 1st dark fringe is the one closest to the central bright one.)
Problem 8: Assume the double-slit experiment described in Problem 6 (with the 3rd dark fringe observed at +36.0° from the central bright one) was actually perfomed when the entire apparatus (laser, double-slit, screen) was immersed in air. At what angle, 0, measured from the central bright fringe, will the 3rd dark fringe be observed if that same entire apparatus is now submerged in water, with an index of refraction nwater = 1.33? Hints: For air, nAir = 1.00. The vacuum wavelength of the laser and the distance between the two slits is the same in both experiments. (A) ±28.0° (B) A 3rd dark fringe cannot be observed under water. (C) ±26.2° (D) ±51.42° (E) ±15.4° Problem 6: If a double-slit is illuminated at normal incidence by coherent (laser) light it produces, on a screen parallel to and far away from the slits, its 3rd dark fringe (=intensity minimum), at an angle of +36.0°, measured from the central bright fringe (=intensity maxi- mum). At what angle, 0, measured from the central bright fringe, will the 2nd dark fringe appear? (All dark fringes are counted here from the central bright one, going outward. So, the 1st dark fringe is the one closest to the central bright one.)
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Solve problem 8 given the information in problem 6
Transcribed Image Text:Problem 8: Assume the double-slit experiment described in Problem 6 (with the 3rd dark
fringe observed at +36.0° from the central bright one) was actually perfomed when the entire
apparatus (laser, double-slit, screen) was immersed in air. At what angle, 0, measured from
the central bright fringe, will the 3rd dark fringe be observed if that same entire apparatus
is now submerged in water, with an index of refraction nwater = 1.33?
Hints: For air, nAir = 1.00. The vacuum wavelength of the laser and the distance between
the two slits is the same in both experiments.
(A) ±28.0°
(B) A 3rd dark fringe cannot be observed under water.
(C) ±26.2°
(D) ±51.42°
(E) ±15.4°
Transcribed Image Text:Problem 6: If a double-slit is illuminated at normal incidence by coherent (laser) light it
produces, on a screen parallel to and far away from the slits, its 3rd dark fringe (=intensity
minimum), at an angle of +36.0°, measured from the central bright fringe (=intensity maxi-
mum). At what angle, 0, measured from the central bright fringe, will the 2nd dark fringe
appear?
(All dark fringes are counted here from the central bright one, going outward. So, the 1st
dark fringe is the one closest to the central bright one.)
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