6 thira) soDouble Slit Interference6. If the third-order bright fringe of 630 nm light is observed at an angle of 32° when the light fallson two narrow slits then how far apart are the slits?light falls on two very narrow slits that are 0.042 mm apart. Successive

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Answered: thira) so Double Slit Interference 6.…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter19: Interference And Diffraction

Section19.2: Diffraction

Problem 16PP

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Integrated Concepts An aircraft maintenance technician walks past a tall hangar door that acts like a single slit for sound entering the hangar. Outside the door, on a line perpendicular to the opening in the door, a jet engine makes a 600-Hz sound. At what angle with the door will the technician observe the first minimum in sound intensity if the vertical opening is 0.800 m wide and the speed of sound is 340 m/s?
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.
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.
Monochromatic light falls on a screen 1.75 m from two slits separated by 2.10 mm. The first- and second-order bright fringes are separated by 0.552 mm. What is the wavelength of the light?
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.
What is the smallest separation between two slits that will produce a second-order maximum for 720-nm red light?
Light with wavelength 442 nm passes through a double-slit system that has a slit separation d = 0.400 mm. Determine how far away a screen must be placed so that dark fringes appear directly opposite both slits, with only one bright fringe between them.
At what angle is the first-order maximum for 450-nm wavelength blue light falling on double slits separated by 0.0500 mm?
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
Two lamps producing light of wavelength 589 nm are fixed 1.0 m apart on a wooden plank. What is the maximum distance an observer can be and still resolve the lamps as two separate sources of light, if the resolution is affected solely by the diffraction of light entering the eye? Assume light enters the eye through a pupil of diameter 4.5 mm.
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.

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thira) so Double Slit Interference 6. If the third-order bright fringe of 630 nm light is observed at an angle of 32° when the light falls on two narrow slits then how far apart are the slits? light falls on two very narrow slits that are 0.042 mm apart. Successive