Scenario: A researcher wishes to test various slits and gratings to see how the laser light from a 480nm laser-pointer spreads to form patterns on a screen 1.5m away. (a) If she uses a double slit setup with a separation distance between slits of 0.3mm, find the distance between consecutive dark fringes. (b) Now suppose she uses a single slit of 25µm, find the width of the central maximum in

Scenario: A researcher wishes to test various slits and gratings to see how the laser light from a 480nm laser-pointer spreads to form patterns on a screen 1.5m away. (a) If she uses a double slit setup with a separation distance between slits of 0.3mm, find the distance between consecutive dark fringes. (b) Now suppose she uses a single slit of 25µm, find the width of the central maximum in

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter36: Wave Optics

Section: Chapter Questions

Problem 18P: Monochromatic coherent light of amplitude E0 and angular frequency passes through three parallel...

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Green light ( = 546 nm) illuminates a pair of narrow, parallel slits separated by 0.250 mm. Make a graph of I/Imax as a function of for the interference pattern observed on a screen 1.20 m away from the plane of the parallel slits. Let range over the interval from 0.3 to +0.3.
A plane monochromatic light wave is incident on a double-slit as illustrated in Figure 24.4. As the slit separation decreases, what happens to the separation between the interference fringes on the screen? (a) It decreases, (b) It increases, (c) It remains the same, (d) It may increase or decrease, depending on the wave-length of the light, (e) More information is required.
Slit 1 of a double-slit is wider than slit 2 so that the light from slit 1 has an amplitude exactly 3 times that of the light from slit 2. Show that Equation 36.9 is replaced by the following equation for this situation: I=Imax[1+3cos2(dsin)] Begin by assuming that the total magnitude of the electric field at point P on the screen in Figure 36.4 is the superposition of two waves, with electric field magnitudes E1=3E0sintE2=E0sin(t+) The phase angle in E2 is due to the extra path length traveled by the lower beam in Figure 36.4. You will need to evaluate the integral of the square of the sine function over one period. Refer to Figure 32.5 for an easy way to perform this evaluation. You might find the following trigonometric identities helpful: sinA+sinB=2sin(A+B2)cos(AB2)sin(A+B)=sinAcosB+cosAsinBcosA=2cos2(A2)1
In a Youngs double-slit experiment, two parallel slits with a slit separation of 0.100 mm are illuminated by light of wavelength 589 nm, and the interference pattern is observed on a screen located 4.00 m from the slits. (a) What is the difference in path lengths from each of the slits to the location of the center of a third-order bright fringe on the screen? (b) What is the difference in path lengths from the two slits to the location of the center of the third dark fringe away from the center of the pattern?
(a) Find the angle of the third diffraction minimum for 633-nm light falling on a slit of width 20.0 m. (b) What slit width would place this minimum at 85.0°? Explicitly show how you follow the steps in Problem-Solving Strategies for Wave Optics
Suppose you use the same double slit to perform Young's double slit experiment in air and then repeat the experiment in water. Do the angles to the same parts of the interference pattern get larger or smaller? Does the color of the light change? Explain.
Problem 5: Light of wavelength λ = 450 nm passes through a single slit of width a = 0.32 mm. A diffraction pattern is formed on a screen L = 1.2 m away. Part (a) Express the relative intensity, I/Imax, of the light at an angle θ in terms of θ, a and λ. Part (b) Calculate the value of I/Imax at an angle of θ = 28°.
6. At the first minima on either side of the central bright spot in a double-slit experiment, light from each opening arrivea. in phase.b. 45° out of phase.c. 90° out of phase.d. 180° out of phase.e. None of the given answers
3. Monochromatic light of wavelength 655 nm falls on a slit. If the angle between the first bright fringes on either side of the central maximum is 32 degrees, estimate the slit width.
1) A screen that is 1.0m wide is 2.0m away from a pair of slits illuminated by 633-nmlight, with the screen centered between the slits. Find the highest-order brightfringe that will appear on the screen if the slit spacing is (a) 0.10mm and (b)10µm.
Suppose a two-slit interference pattern from 610 nm orange light has its first maximum at an angle of 2.42°. This is a double-slit system already in problem formulation. What is the separation between two slits for the orange light in meters?
Broad spectrum white light containing wavelengths from 420 nm to 730 nm falls on arefraction grating with 7900 slits / cm. How wide is the first order spectrum on a screen3.1 m away? (Hint: solve for theta for first order fringe for each wavelength, then usetrig to solve for distance from straight through direction location on screen to positionof each wavelength on screen. Subtract these distances to get width of first orderspectrum).