You perform a double‑slit experiment in order to measure the wavelength of the new laser that you received for your birthday. You set your slit spacing at 1.15 mm and place your screen 9.39 m from the slits. Then, you illuminate the slits with your new toy and find on the screen that the tenth bright fringe is 4.55 cm away from the central bright fringe (counted as the zeroth bright fringe). What is your laser's wavelength expressed in nanometers?

Question

Webb

Physics

15 August, 00:35

You perform a double‑slit experiment in order to measure the wavelength of the new laser that you received for your birthday. You set your slit spacing at 1.15 mm and place your screen 9.39 m from the slits. Then, you illuminate the slits with your new toy and find on the screen that the tenth bright fringe is 4.55 cm away from the central bright fringe (counted as the zeroth bright fringe). What is your laser's wavelength expressed in nanometers?

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Yasmin Frey · Answer 1

557.24nm

Explanation:

m λ = dsinθ

d = 1.01 x 10e-3 m=10

we use tanθ because of the long distance

so d (x/R) = m λ x = distance from central fringe and R = distance from screen

(1.15x10e-3) [ (4.55x10e-2) / (9.39) ] = 10 λ

5.5724x10e-6 m or 557.24nm