EBK PHYSICS FOR SCIENTISTS AND ENGINEER
6th Edition
ISBN: 9781319321710
Author: Mosca
Publisher: VST
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Chapter 33, Problem 59P
To determine
The distance between the two sources.
The distance between the central maximum and the first diffraction.
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The limit to the eye’s visual acuity is related to diffraction by the pupil.D = 2.85 mmdh = 1.25 m
a. What is the angle between two just-resolvable points of light for a 2.85 mm diameter pupil in radians, assuming an average wavelength of 550 nm?
θmin =
b. Take your result to be the practical limit for the eye. What is the greatest possible distance in km a car can be from you if you can resolve its two headlights, given they are 1.25 m apart?
L=
c. What is the distance between two just-resolvable points held at an arm’s length (0.800 m) from your eye in mm?
da =
The intensity of a single slit diffraction pattern can be described by
I(0) = I.( )
stno
where a=
Taind.
with a being the width of the sit and I being the intensity at the center of the central maximum. Consider a diffraction pattern formed by a slit with width a= 6.22 jam, upon which
coherent light with a wavelength A= 451 nm is incident, the screen upon which the diffraction pattem is observed is a distance D= 2.94 m away.
Part 1)
Consider a point on the screen at z=h=1.39 cm, where z= 0 is taken as the center of the bright central maximum. What is a at this point?
Tad
Part 2)
What is the ratio of the intersity at this point to the intensity at the bright central maimum?
Part 3)
Where will the nest minimum in the pattern be located on the screen?
Check
A monochromatic beam of light has a wavelength of 403 nm. It is diffracted through a set
of double slits, and produces a maxima of order 6 at an angle of 1.00 degrees.
What is the separation of the slits in m?
Chapter 33 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
Ch. 33 - Prob. 1PCh. 33 - Prob. 2PCh. 33 - Prob. 3PCh. 33 - Prob. 4PCh. 33 - Prob. 5PCh. 33 - Prob. 6PCh. 33 - Prob. 7PCh. 33 - Prob. 8PCh. 33 - Prob. 9PCh. 33 - Prob. 10P
Ch. 33 - Prob. 11PCh. 33 - Prob. 12PCh. 33 - Prob. 13PCh. 33 - Prob. 14PCh. 33 - Prob. 15PCh. 33 - Prob. 16PCh. 33 - Prob. 17PCh. 33 - Prob. 18PCh. 33 - Prob. 19PCh. 33 - Prob. 20PCh. 33 - Prob. 21PCh. 33 - Prob. 22PCh. 33 - Prob. 23PCh. 33 - Prob. 24PCh. 33 - Prob. 25PCh. 33 - Prob. 26PCh. 33 - Prob. 27PCh. 33 - Prob. 28PCh. 33 - Prob. 29PCh. 33 - Prob. 30PCh. 33 - Prob. 31PCh. 33 - Prob. 32PCh. 33 - Prob. 33PCh. 33 - Prob. 34PCh. 33 - Prob. 35PCh. 33 - Prob. 36PCh. 33 - Prob. 37PCh. 33 - Prob. 38PCh. 33 - Prob. 39PCh. 33 - Prob. 40PCh. 33 - Prob. 41PCh. 33 - Prob. 42PCh. 33 - Prob. 43PCh. 33 - Prob. 44PCh. 33 - Prob. 45PCh. 33 - Prob. 46PCh. 33 - Prob. 47PCh. 33 - Prob. 48PCh. 33 - Prob. 49PCh. 33 - Prob. 50PCh. 33 - Prob. 51PCh. 33 - Prob. 52PCh. 33 - Prob. 53PCh. 33 - Prob. 54PCh. 33 - Prob. 55PCh. 33 - Prob. 56PCh. 33 - Prob. 57PCh. 33 - Prob. 58PCh. 33 - Prob. 59PCh. 33 - Prob. 60PCh. 33 - Prob. 61PCh. 33 - Prob. 62PCh. 33 - Prob. 63PCh. 33 - Prob. 64PCh. 33 - Prob. 65PCh. 33 - Prob. 66PCh. 33 - Prob. 67PCh. 33 - Prob. 68PCh. 33 - Prob. 69PCh. 33 - Prob. 70PCh. 33 - Prob. 71PCh. 33 - Prob. 72PCh. 33 - Prob. 73PCh. 33 - Prob. 74PCh. 33 - Prob. 75PCh. 33 - Prob. 76PCh. 33 - Prob. 77PCh. 33 - Prob. 78PCh. 33 - Prob. 79PCh. 33 - Prob. 80PCh. 33 - Prob. 81PCh. 33 - Prob. 82PCh. 33 - Prob. 83PCh. 33 - Prob. 84PCh. 33 - Prob. 85PCh. 33 - Prob. 86PCh. 33 - Prob. 87P
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- For 600-nm wavelength light and a slit separation of 0.12 mm, what are the angular positions of the first and third maxima in the double slit interference pattern?arrow_forwardConsider a single-slit diffraction pattern for =589 nm, projected on a screen that is 1.00 m from a slit of width 0.25 mm. How far from the center of the pattern are the centers of the first and second dark fringes?arrow_forwardWhen a monochromatic light of wavelength 430 nm incident on a double slit of slit separation 5 m, there are 11 interference fringes in its central maximum. How many interference fringes will be in the central maximum of a light of wavelength 632.8 nm for the same double slit?arrow_forward
- (a) Sodium vapor light averaging 589 nm in wavelength falls on a single slit of width 7.50 m. At what angle does it produces its second minimum? (b) What is the highest-order minimum produced?arrow_forwardThe width of the central peak in a single-slit diffraction pattern is 5.0 mm. The wavelength of the light is 600 nm, and the screen is 2.0 m from the slit. (a) What is the width of the slit? (b) Determine the ratio of the intensity at 4.5 mm from the center of the pattern to the intensity at the center.arrow_forwardTo save money on making military aircraft invisible to radar, an inventor decides to coat them with a nonreflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?arrow_forward
- A 5.08-cm-long rectangular glass chamber is inserted into one arm of a Michelson interferometer using a 633-nm light source. This chamber is initially filled with air (n=1.000293) at standard atmospheric pressure but the air is gradually pumped out using a vacuum pump until a near perfect vacuum is achieved. How many fringes are observed moving by during the transition?arrow_forwardEight slits equally separated by 0.149 mm is uniformly illuminated by a monochromatic light at =523 nm. What is the intensity of a secondary maxima compared to that of the principal maxima?arrow_forwardIn Figure P27.7 (not to scale), let L = 1.20 m and d = 0.120 mm and assume the slit system is illuminated with monochromatic 500-nm light. Calculate the phase difference between the two wave fronts arriving at P when (a) = 0.500 and (b) y = 5.00 mm. (c) What is the value of for which the phase difference is 0.333 rad? (d) What is the value of for which the path difference is /4?arrow_forward
- A single slit of width 2100 nm is illuminated normally by a wave of wavelength 632.8 nm. Find the phase difference between waves from the top and one third from the bottom of the slit to a point on a screen at a horizontal distance of 2.0 m and vertical distance of 10.0 cm from the center.arrow_forwardUsing the result of the preceding problem, (a) calculate the distance between fringes for 633-nm light falling on double slits separated by 0.0800 mm, located 3.00 m from a screen. (b) What would be the distance between fringes if the entire apparatus were submersed in water, whose index of refraction is 1.33?arrow_forwardBlue light of wavelength 450 nm falls on a slit of width 0.25 mm. A converging lens of focal length 20 cm is placed behind the slit and focuses the diffraction pattern on a screen. (a) How far is the screen from the lens? (b) What is the distance between the first and the third minima of the diffraction pattern?arrow_forward
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