Physics For Scientists And Engineers
6th Edition
ISBN: 9781429201247
Author: Paul A. Tipler, Gene Mosca
Publisher: W. H. Freeman
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Chapter 33, Problem 58P
To determine
The distance between the two sources.
The distance between the central maximum and the first diffraction.
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If a diffraction grating with 300 lines/mm is illuminated with beam of white light, and the 2nd order diffracted light is observed via a lens of f = 5 cm and a light detector; thelens and detector are arranged with the optical axis along the 2nd order diffracted light ofwavelength 500 nm.Find the separation on the detector between 2nd-order light at 400 nm and600 nm.
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?
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The limit to the eye's acuity is actually related to diffraction by the pupil. What is the angle between two just-resolvable points of
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0.00534
O
angle between two points of light:
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greatest distance at which headlights can be distinguished:
m
1.61
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What is the distance between two just-resolvable points held at an arm's length (0.900 m) from a person's eye?
0.145
distance between two points 0.900 m from a person's eye:
m
Incorrect
Chapter 33 Solutions
Physics For Scientists And Engineers
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
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- The structure of the NaCl crystal forms reflecting planes 0.541 nm apart. What is the smallest angle, measured from these planes, at which X-ray diffraction can be observed, if X-rays of wavelength 0.085 nm are used?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_forwardIf a microscope can accept light from objects at angles as large as =70 , what is the smallest structure that can be resolved when illuminated with light of wavelength 500 nm and (a) the specimen is in air? (b) When the specimen is immersed in oil, with index of refraction of 1.52?arrow_forward
- When 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_forwardA rectangular slit is twice as wide as it is high. Is the central diffraction peak wider in the vertical direction or in the horizontal direction?arrow_forwardFor 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_forward
- Check Your Understanding Although m, the number of fringes observed, is an integer, which is often regarded as having zero uncertainty, in practical terms, it is all too easy to lose track when counting fringes. In Example 3.6, if you estimate that you might have missed as many as five fringes when you reported m=122 fringes, (a) is the value for the index of refraction worked out in Example 3.6 too large or too small? (b) By how much?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_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_forward
- To 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_forwardThe movable mirror of a Michelson interferometer is attached to one end of a thin metal rod of length 23.3 mm. The other end of the rod is anchored so it does not move. As the temperature of the rod changes from 15°C to 25 C , a change of 14 fringes is observed. The light source is a He Ne laser, =632.8 nm . What is the change in length of the metal bar, and what is its thermal expansion coefficient?arrow_forwardOn a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 27.1° relative to its surface, using an X-ray source of unknown wavelength. Additionally, when illuminated with a different, this time of known wavelength 0.137 nm, a second-order maximum is detected at 37.3°. Determine (a) the spacing between the reflecting planes, and (b) the unknown wavelength.arrow_forward
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