14. GP Monochromatic light of wavelength A is incident on a pair of slits separated by 2.40 × 10-4 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 0 and the legs of the right triangle associated with the first-order bright fringe. (b) Compute the tangent of the angle 0 associated with the first-order bright fringe. (c) Find the angle corre- sponding 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.

14. GP Monochromatic light of wavelength A is incident on a pair of slits separated by 2.40 × 10-4 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 0 and the legs of the right triangle associated with the first-order bright fringe. (b) Compute the tangent of the angle 0 associated with the first-order bright fringe. (c) Find the angle corre- sponding 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.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Diffraction of light

In physics, the term diffraction is defined as the bending of light around the corners of the obstacle. As a light ray passes by an aperture, it bends around the edges or through slits, it spreads out through a narrow opening. The diffracted light will produce fringes of bright and dark or colored bands which are labeled as a diffraction pattern.

Question

14. GP Monochromatic light of wavelength A is incident
on a pair of slits separated by 2.40 × 10-4 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 0 and the legs of the right
triangle associated with the first-order bright fringe.
(b) Compute the tangent of the angle 0 associated with
the first-order bright fringe. (c) Find the angle corre-
sponding 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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