18. Monochromatic coherent light of amplitude E, and angularfrequency o passes through three parallel slits, each sepa-rated by a distance d from its neighbor. (a) Show that thetime-averaged intensity as a function of the angle 8 is2nd sinI(0) - 11+2 cos(b) Explain how this expression describes both the primaryand the secondary maxima. (c) Determine the ratio of theintensities of the primary and secondary maxima. Hint: SeeProblem 16.

Answered: Image /qna-images/answer/f26a46f1-25eb-4e5a-b9cd-ec2acf1a116a.jpg

18. Monochromatic coherent light of amplitude E, and angular ac frequency w passes through three parallel slits, cach sepa- rated by a distance d from its neighbor. (a) Show that the time-averaged intensity as a function of the angle 8 is (2nd sin 6 1(0) - 11+ 2 cos (b) Explain how this expression describes both the primary and the secondary maxima. (c) Determine the ratio of the intensities of the primary and secondary maxima. Hint: See Problem 16.

18. Monochromatic coherent light of amplitude E, and angular ac frequency w passes through three parallel slits, cach sepa- rated by a distance d from its neighbor. (a) Show that the time-averaged intensity as a function of the angle 8 is (2nd sin 6 1(0) - 11+ 2 cos (b) Explain how this expression describes both the primary and the secondary maxima. (c) Determine the ratio of the intensities of the primary and secondary maxima. Hint: See Problem 16.

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)...

See similar textbooks

Similar questions

is incident perpendicularly on The a soap 3) Light air. film (with n=1.5) suspendened in film is 0,2 jum. What visible light thick ness of the soap nght of constructive inferferene e the thin film?. visibe spectvm range trom is the Shortest wave le that undergoes fully upon retle ction on Recall that the wave lengths of the 400nm to 700nm
Im youngls double 8ity slit experiment The intern- 4 liqht ta path dittaace a point The sereen hahere the The inten &i ot light ta Poimt Where The path in The waulengi ditference warlengthe 4 liqut usad]
Discuss the single slit diffraction pattern.
3
Find the largest wavelength (in nm) of light falling on double slits separated by 7.5o µm for which there is a second-order maximum. nm Is this in the visible part of the spectrum? Yes No
4) In a double -slit Separated by a ill uminated by light of experiment, seA the slit are The slit are distana of 2.sum. wave length 500 hm. Calculate the angu pos ition of the se cond - order I tor m:2 lar bright fringe in radians
a soap 3) Light on in cident perpendicularly is The film (with n=1.5) suspendened in thick ness is tle that undergoes fully air. What film is 0.2 um. visible light of the Soap Shortest wauele nght of constructive inferferenee upon retle ction the thin film?. Recall that on the wave lengths of the visibe spectum range trom 400nm to 700nm
1. (a) What is the highest-order maximum for 400 -nm light falling on double slits separated by 25 µm? Hint: Is there a limit on how many bright and dark bands appear on a pattern? (b) What part of the EM spectrum does this wavelength belong to? Visible Region/Ultraviolet O Infrared X-rays
Suppose a 1.8 μm wide slit produces its first minimum for 425 nm violet light.Randomized Variablesλv = 425 nmλr = 725 nmw = 1.8 μm Part A) Calculate the angle at which this occurs for violet light in degrees. Part B ) Where is the first minimum (in degrees) for 725 nm red light?
73) In a Young's light doube slit experiment, beam through the mono chrom a tic slits shines The ce ater - to a center distance drs tane between befween the the slit is Imm, the and s creen and the slits ū 5m (A the se para tion be tween tirst and the 2nd bright fring es wave length of the the is O -25 cm. W hat the light beam ? Cum)
In biprism experiment, the distance of 20h bright band from the centre of interference pattern is 8 mm. Calculate the distance of 30t bright band.
4. Two coherent beams having parallel electric fields are described by TT E₁ = 5 cos(ks₁ · wt + 3) E₂ = 3 cos +7) (ks₂ - wt+ With amplitudes in kV/m. the beams interfere at a point P where the phase difference due to path is π/4. At the point of superposition, calculate the net irradiance.