Monochromatic light of wavelength l is incident on a pair of slits separated by 2.40 3 1024 m, and forms an interference pattern on a screen placed 1.80 m away from the slits. The first - order bright fringe is 4.52 mm from the center of the central maximum. (a) Draw a picture, labeling the angle u and the legs of the right triangle associated with the first - order bright fringe. (b) Compute the tangent of the angle u associated with the first - order bright fringe. (c) Find the angle corresponding to the first - order bright fringe and compute the sine of that angle. Are the sine and tangent of the angle comparable in value? Does your answer always hold true? (d) Calculate the wavelength of the light. (e) Compute the angle of the fifth - order bright fringe.(f) Find its position on the screen.

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Asked Dec 17, 2019
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Monochromatic light of wavelength l is incident on a pair of slits separated by 2.40 3 1024 m, and forms an interference pattern on a screen placed 1.80 m away from the slits. The first - order bright fringe is 4.52 mm from the center of the central maximum. (a) Draw a picture, labeling the angle u and the legs of the right triangle associated with the first - order bright fringe. (b) Compute the tangent of the angle u associated with the first - order bright fringe. (c) Find the angle corresponding to the first - order bright fringe and compute the sine of that angle. Are the sine and tangent of the angle comparable in value? Does your answer always hold true? (d) Calculate the wavelength of the light. (e) Compute the angle of the fifth - order bright fringe.(f) Find its position on the screen.

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Expert Answer

Step 1

As per our guidelines we provide solution of only first 3 subpart, if you need the solution of remaining part kindly post the same question and mention the subpart whose solution you want.

Step 2

Given:

Slit separation (d) = 2.4×10-4 m

Distance between slit plate and screen (B) = 1.8 m

Distance between central maximum and first bright fringes (δ) = 4.2 mm

Step 3

Part a)

The diagram of the given cond...

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B 42 mm 2.4x10 m 1.8 m

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Wave Optics

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