8. Suppose that you have a laser of wavelength λ = 450 nm, and a double slit with a slit separation of d = 0.25 mm. You plan to place the double slit exactly L = 1.00 m away from a viewing screen, but you want to predict the positions of the bright fringes in advance. First, let's check if the small-angle approximation applies to this situation. a. Use mλ = d sine to calculate the angle 8, for the first order (m= 1) bright fringes: b. Calculate sin 0₁: c. Calculate tan 0₁: 1

8. Suppose that you have a laser of wavelength λ = 450 nm, and a double slit with a slit separation of d = 0.25 mm. You plan to place the double slit exactly L = 1.00 m away from a viewing screen, but you want to predict the positions of the bright fringes in advance. First, let's check if the small-angle approximation applies to this situation. a. Use mλ = d sine to calculate the angle 8, for the first order (m= 1) bright fringes: b. Calculate sin 0₁: c. Calculate tan 0₁: 1

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

▬
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8. Suppose that you have a laser of wavelength λ = 450 nm, and a double slit with a slit
separation of d = 0.25 mm. You plan to place the double slit exactly L = 1.00 m away
from a viewing screen, but you want to predict the positions of the bright fringes in
advance. First, let's check if the small-angle approximation applies to this situation.
a. Use mλ = d sin 8 to calculate the angle 8₁ for the first order (m = 1) bright fringes:
b. Calculate sin 0₁:
G
c. Calculate tan 0₁:
ma
d. Compare the values for sin 8₁ tan 8₁. Are these approximately equal? If so,
then we can use the small angle approximation 8 (rad)=
you for further
calculations, and the bright fringes should be equally spaced.
9. For the parameters above, calculate the angle and the distance from the central maximum
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