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. At what angle is the first–order maximum for 440–nm wavelength blue light falling on double slits separated by 0.0400 mm? This is not and will not be graded

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter27: Wave Optics

Section: Chapter Questions

Problem 6PE: At what angle is the first-order maximum for 450-nm wavelength blue light falling on double slits...

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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.

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1. At what angle is the first–order maximum for 440–nm wavelength blue light falling on double slits separated by 0.0400 mm?

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(a) Calculate the angle at which a 2.00- m -wide slit produces its first minimum for 410-nm violet light. (b) Where is the first minimum for 700-nm red light?
Suppose the single slit in Figure 38.4 is 6.00 cm wide and in front of a microwave source operating at 7.50 GHz. (a) Calculate the angle for the first minimum in the diffraction pattern. (b) What is the relative intensity l/lmax at 0 =- 15.0? (c) Assume two such sources, separated laterally by 20.0 cm, are behind the slit. What must be the maximum distance between the plane of the sources and the slit if the diffraction patterns are to be resolved? In this case, the approximation sin tan 8 is not valid because of the relatively small value of a/.
Find the distance between two slits that produces the first minimum for 410-nm violet light at an angle of 45.0°.
Assume light of wavelength 650 nm passes through two slits 3.00 m wide, with their centers 9.00 m apart. Make a sketch of the combined diffraction and interference pattern in the form of a graph of intensity versus = (a sin )/. You may use Figure 37.7 as a starting point.
A double slit separated by 0.058 0 mm is placed 1.50 m from a screen. (a) If yellow light of wavelength 588 nm strikes the double slit, what is the separation between the zeroth-order and first-order maxima on the screen? (b) If blue light of wavelength 412 nm strikes the double slit, what is the separation between the second-order and fourth-order maxima?
From Equation 37.2, find an expression for the sine of the angles at which the minimum intensity occurs in a single-slit diffraction pattern. Compare the result to Equation 37.1.
Consider a wave passing through a single slit. What happens to the width of the central maximum of its diffraction pattern as the slit is made hall' as wide? (a) It becomes one-half as wide. (b) It becomes one-half as wide. (c) Its width does not change. (d) It becomes twice as wide. (e) It becomes four limes as wide.
What is the smallest separation between two slits that will produce a second-order maximum for 720-nm red light?
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