Six slits in a diffraction grating. A set of waves is spreading out from each of the slits. Six specific wave paths to a distant screen are shown, leavin he slits at angle 0₁. (The screen is so far away that the paths appear parallel on this scale but eventually converge.) The dotted lines are drawn perpendicular to the paths of the waves. The wavelength of the light is λ = 658 nm. 1. How much farther does wave #1 travel compared to wave #2? 2. How much farther does wave #2 travel compared to wave #3? nm A. destructively. B. constructively. C. between constructively and destructively. nm 3. When these six waves combine some distance away from the grating, they will interfere

Six slits in a diffraction grating. A set of waves is spreading out from each of the slits. Six specific wave paths to a distant screen are shown, leavin he slits at angle 0₁. (The screen is so far away that the paths appear parallel on this scale but eventually converge.) The dotted lines are drawn perpendicular to the paths of the waves. The wavelength of the light is λ = 658 nm. 1. How much farther does wave #1 travel compared to wave #2? 2. How much farther does wave #2 travel compared to wave #3? nm A. destructively. B. constructively. C. between constructively and destructively. nm 3. When these six waves combine some distance away from the grating, they will interfere

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 89AP: Monochromatic light of wavelength 530 nm passes through a horizontal single slit of width 1.5 m in...

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Monochromatic light is incident on (and perpendicular to) two slits separated by 0.220 mm, which causes an interference pattern on a screen 571 cm away. The light has a wavelength of 656.3 nm. What is the fraction of the maximum intensity at a distance of 0.600 cm from the central maximum of the interference pattern? What If?What is the minimum distance (absolute value, in mm) from the central maximum where you would find the intensity to be half the value found in part (a)?
Microwaves of wavelength 10.0 mm fall normally on a metal plate that contains a slit 25 mm wide. (a) Where are the first minima of the diffraction pattern? (b) Would there be minima if the wavelength were 30.0 mm?
In a double slit experiment, the distance between the slits is 0.2 mm and the distance to the screen is 100 cm. What is the phase difference (in degrees) between the waves from the two slits arriving at a point 5 mm from the central maximum when the wavelength is 400 nm? (Convert your result so the angle is between 0 and 360°.)
The analysis of any two-point source interference pattern and a successful determination of wavelength demands an ability to sort through the measured information and equating the values with the symbols in Young's equation. Apply your understanding by interpreting the following statements and identifying the values of y, d, m and L. Finally, perform some conversions of the given information such that all information share the same unit. Consecutive bright bands on an interference pattern are 3.5 cm apart when the slide containing the slits is 10.0 m from the screen. The slit separation distance is 0.050 mm. y= ________ d=________ m=_______ L=________
An intereference pattern is produced by light with a wavelength of 560 nm from a distant source incident on two identical parallel slits seperated by a distance (between centers) of 0.580 mm. (A) if the slits are very narrow what would be the angular position of the first order two slit intereference maxima? Express your answer in radians. (B) what would be the angular position of the second order two slit intereference maxima in this case?
Two parallel slits are illuminated with monochromaticlight of wavelength 500 nm.An interference pattern is formed on ascreen some distance from the slits, and the fourth dark band is located1.68 cm from the central bright band on the screen. (a) Whatis the path length difference corresponding to the fourth darkband? (b) What is the distance on the screen between the centralbright band and the first bright band on either side of the centralband? (Hint: The angle to the fourth dark band and the angle tothe first bright band are small enough that tan u = sin u.)
Laser light with a wavelength of 632.8 nm is directed through one slit or two slits and allowed to fall on a screen 2.60 m beyond. as shown the pattern on the screen, with a centimeter ruler below it. (a) Did the light pass through one slit or two slits? Explain how you can determine the answer. (b) If one slit, find its width. If two slits, find the distance between their centers.
An intereference pattern is produced by light with a wavelength of 560 nm from a distant source incident on two identical parallel slits seperated by a distance (between centers) of 0.580 mm. (A) if the slits are very narrow what would be the angular position of the first order two slit intereference maxima? Express your answer in radians. (B) what would be the angular position of the second order two slit intereference maxima in this case? (C) let the slits have a width of 0.330 mm. In terms of the intensity at the center of the central maximum what is the intensity at the angular position of theta? (D) what is the intensity at the angular position of theta2?
For an aperture of width 1mm and using light of wavelength of 633 nm, estimate the distance from the aperture at which the Faunhofer approximation would be appropriate. a. Under the Fraunhofer condition, what would be the angle of the first minimum? b. If the screen is 1m away, how far from the central maximum would the first minimum be located?
The analysis of any two-point source interference pattern and a successful determination of wavelength demands an ability to sort through the measured information and equating the values with the symbols in Young's equation. Apply your understanding by interpreting the following statements and identifying the values of y, d, m and L. Finally, perform some conversions of the given information such that all information share the same unit. Two slits that are 0.200 mm apart produce an interference pattern on a screen such that the central maximum and the 10th bright band are distanced by an amount equal to one-tenth the distance from the slits to the screen. y= ________ d=________ m=_______ L=________
As shown the light intensity on a screen 2.5 m behind an aperture. The aperture is illuminated with light of wavelength 600 nm.a. Is the aperture a single slit or a double slit? Explain.b. If the aperture is a single slit, what is its width? If it is a double slit, what is the spacing between the slits?
How much diffraction spreading does a light beam undergo? One quantitative answer is the full width at half maximum of the central maximum of the single-slit Fraunhofer diffraction pattern. You can evaluate this angle of spreading in this problem. (a) as shown, define φ = πa sin φ/λ and show that at the point where I = 0.5Imax we must have φ = √2 sin φ. (b) Let y1 = sin φ and y2 = φ = /√2. Plot y1 and y2 on the same set of axes over a range from φ = 1 rad to φ = π/2 rad. Determine φ from the point of intersection of the two curves. (c) Then show that if the fraction λ/a is notlarge, the angular full width at half maximum of the central diffraction maximum is θ = 0.885λ/a. (d) What If? Another method to solve the transcendental equation φ = √2 sin φ in part (a) is to guess a first value of φ, use a computer or calculator to see how nearly it fits, and continue to update your estimate until the equation balances. How many steps(iterations) does this process take?