Light of wavelength 427 nm (in vacuum) is incident on a diffraction grating that has a slit separation of 1.2 x 105 m. The distance between the grating and the viewing screen is 0.17 m. A diffraction pattern is produced on the screen that consists of a central bright fringe and higher-order bright fringes (see the drawing). (a) Determine the distance y from the central bright fringe to the second- order bright fringe. (Hint: The diffraction angles are small enough that the approximation tan(0)- sin(0) can be used.) (b) If the entire apparatus is submerged in water (nwater = 1.33), what is the distance y? Diffraction grating Screen 2nd-order maximum Central maximum (m= 0)

Light of wavelength 427 nm (in vacuum) is incident on a diffraction grating that has a slit separation of 1.2 x 105 m. The distance between the grating and the viewing screen is 0.17 m. A diffraction pattern is produced on the screen that consists of a central bright fringe and higher-order bright fringes (see the drawing). (a) Determine the distance y from the central bright fringe to the second- order bright fringe. (Hint: The diffraction angles are small enough that the approximation tan(0)- sin(0) can be used.) (b) If the entire apparatus is submerged in water (nwater = 1.33), what is the distance y? Diffraction grating Screen 2nd-order maximum Central maximum (m= 0)

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

Light of wavelength 427 nm (in vacuum) is incident on a diffraction grating that has a slit separation of 1.2 x 105 m. The distance
between the grating and the viewing screen is 0.17 m. A diffraction pattern is produced on the screen that consists of a central bright
fringe and higher-order bright fringes (see the drawing). (a) Determine the distance y from the central bright fringe to the second-
order bright fringe. (Hint: The diffraction angles are small enough that the approximation tan(0)~ sin(0) can be used.) (b) If the entire
apparatus is submerged in water (nwater = 1.33), what is the distance y?
(a) y = i
(b) y = i
eTextbook and Media
Diffraction
grating
8
-L-
Screen
2nd-order
maximum
Central
maximum
(m = 0)

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