= Two light rays (1 and 2) travelling in air (na 1) from source S (1 m above the surface of water) and meet at a point P on a screen (1 m above the surface of water), as shown below. Light ray 2 reflects from the surface of water (nw 1.33). Determine: = i. the phase difference of the light rays at point P, if wavelength of the light is 500 nm. ii. for what wavelengths we will have constructive interference at P? S Ray 1 Ray 2 Air 2m Water 1m P

= Two light rays (1 and 2) travelling in air (na 1) from source S (1 m above the surface of water) and meet at a point P on a screen (1 m above the surface of water), as shown below. Light ray 2 reflects from the surface of water (nw 1.33). Determine: = i. the phase difference of the light rays at point P, if wavelength of the light is 500 nm. ii. for what wavelengths we will have constructive interference at P? S Ray 1 Ray 2 Air 2m Water 1m P

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 59P: The limit to the eye’s acuity is actually related to diffraction by the pupil. (a) What is the angle...

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Similar questions

Figure P38.10 on the next page shows a monochromatic beam of light of wavelength 575 nm incident on a slab of crown glass surrounded by air. Use a protractor to measure the angles of incidence and refraction. a. What is the speed of the beam of light within the glass slab? b. What is the frequency of the beam of light within the glass slab? c. What is the wavelength of the beam of light within the glass slab? FIGURE P38.10
(a) If the first-order maximum for monochromatic light falling on a double slit is at an angle of 10.0° , at what angle is the second-order maximum? (b) What is the angle of the first minimum? (c) What is the highest-order maximum possible here?
The limit to the eye’s acuity is actually related to diffraction by the pupil. (a) What is the angle between two just-resolvable points of light for a 3.00-mm-diameter pupil, assuming an average wavelength of 550 nm? (b) Take your result to be the practical limit for the eye. What is the greatest possible distance a car can be from you if you can resolve its two headlights, given they are 1.30 m apart? (c) What is the distance between two just-resolvable points held at an arm’s length (0.800 m) from your eye? (d) How does your answer to (c) compare to details you normally observe in everyday circumstances?
Under what conditions will a person observe no reflected light? Assume that ttt is the film thickness, mmm = 1, 2, 3,..., nnn is the index of refraction of the film, and λλlambda is the wavelength of the light. Express your answer in terms of the variables m, n, λlambda, and appropriate constants.
For the picture below, determine the displacement of the light ray when the incident angle is 25°. The glass slab (? = 1.4) is 0.050 m thick
Interference effects are produced at point P on a screen as a result of direct rays from a 490-nm source and reflected rays off a mirror, as shown in the figure below. If the source is L = 150 m to the left of the screen and h = 2.00 cm above the mirror, find the distance y (in millimeters) to the first dark band above the mirror.answer in mm
A thin film of oil (no = 1.50) with varying thickness floats on water (nw = 1.33). When it is illuminated from above by white light, the reflected colors are as shown in the figure below. In air, the wavelength of yellow light is 580 nm. Why are there no reflected colors at point A? What is the oil’s thickness “t” at point B?
that a ray incident on a 30° prism is deflected by 22.6° if the prism’s index of refraction is 1.59. Suppose that this is the index of refraction of deep violetlight, and that deep red light has an index of refraction of 1.54.a. What is the deflection angle for deep red light?b. If a beam of white light is dispersed by this prism, how wide is the rainbow spectrum on a screen 2.0 m away?
1. a. If a piece of glass (n = 1.5) is coated with a transparent plastic (n = 2.0), will there be aphase shift in either of the beams reflecting off the interfaces (air/plastic and plastic/glass)? Howcan you tell, without doing the experiment, whether or not there will be a phase shift in eitherbeam? Be specific about what rays are reflecting off what materials. b. So what thickness or thicknesses give the maximum reflection? What thickness or thicknesses(hint: it’s thicknesses) give the minimum reflection? Assume that a light of wavelength 500. nmis used, and you may leave the answer in nm. Yes, this is a choice between equations 35.17 and35.18, but your answer to part a should be helpful in deciding which set.
A laser beam is aimed through a circular aperture of diameter 1 mm. a. If the laser beam is red with a wavelength of 632.8 nm, what is the angle from the center of the Airy disk to the first dark ring? b. If the screen you are projecting the Airy disk onto is 2 m from the aperture, what is the distance between the center of the disk and the first dark ring? c. How does the distance between the center of the disk and the first dark ring change as you move the screen closer to the aperture? d. You change to a green laser with a wavelength of 532 nm. How does this affect the separation of the rings in the Airy disk?
Fig. 3 shows three situations of the same light of wavelength λ = 670 nm, falling on a slit at 2.58 m from the screen.slit 2.58 m away from the screen. The unit of the position axis is centimeter.(a) Do the figures deal with a single slit or a double slit? Explain.(b) Considering your answer in (a) estimate, for each case, the slit opening (a) if the problemsingle slit and the slit opening and separation of the slits (a and d) if the problem is a double slit.crack. Justify all the logic and steps used.
Monochromatic light is beamed into a Michelson interferometer. The movable mirror is displaced 0.382 mm, causing the central spot in the interferometer pattern to change from bright to dark and back to bright N = 1 700 times. (a) Determine the wavelength of the light. What color is it? (b) If monochromatic red light is used instead and the mirror is moved the same distance, would N be larger or smaller? Explain.