COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 23, Problem 98QAP
To determine
The angle of first dark spot due to diffraction of light due to thin slit of brass at the temperature of
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•48 A high-powered laser beam (A = 600 nm) with a beam diam-
eter of 12 cm is aimed at the Moon, 3.8 x 10° km distant. The beam
spreads only because of diffraction. The angular location of the
edge of the central diffraction disk (see Eq. 36-12) is given by
1.22A
sin 0
where d is the diameter of the beam aperture. What is the diameter
of the central diffraction disk on the Moon's surface?
•7 Light of wavelength 633 nm is incident on a narrow slit. The
angle between the first diffraction minimum on one side of the
central maximum and the first minimum on the other side is 1.20⁰.
What is the width of the slit?
•1 In Fig. 35-31, a light wave along
ray r, reflects once from a mirror and
a light wave along ray r, reflects twice
from that same mirror and once from
a tiny mirror at distance L from the
bigger mirror. (Neglect the slight tilt Figure 35-31 Problems 1 and 2.
of the rays.) The waves have wave-
length 620 nm and are initially in phase. (a) What is the smallest value
of L that puts the final light waves exactly out of phase? (b) With the
tiny mirror initially at that value of L, how far must it be moved away
from the bigger mirror to again put the final waves out of phase?
Chapter 23 Solutions
COLLEGE PHYSICS
Ch. 23 - Prob. 1QAPCh. 23 - Prob. 2QAPCh. 23 - Prob. 3QAPCh. 23 - Prob. 4QAPCh. 23 - Prob. 5QAPCh. 23 - Prob. 6QAPCh. 23 - Prob. 7QAPCh. 23 - Prob. 8QAPCh. 23 - Prob. 9QAPCh. 23 - Prob. 10QAP
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- Light waves, for which the electric field is given by Ey(x,t) =Emaxin|(2x107m-1)x-wt], pass through a slit and produce the first dark bands at ‡30• from the center of the diffraction pattern. What is the frequency of this light? How wide is the slit? At which positive angle will the next dark band occur?arrow_forward. A plane diffraction grating in the first order shows an angle of minimum deviation of 20• at the mercury blue line of wavelength 4358 Å. Calculate the number of lines per centimeter.arrow_forwardA beam of monochromatic light is diffracted by a slit of width 0.590 mm. The diffraction pattern forms on a wall 1.36 m beyond the slit. The width of the central maximum is 1.75 mm. Calculate the wavelength of the light. nmarrow_forward
- A helium-neon laser (2= 632.8 nm) is used to calibrate a diffraction grating. If the first-order maximum occurs at 20.0°, what is the spacing between adjacent grooves in the grating? (In this problem, assume that the light is incident normally on the grating.) μmarrow_forwardMany cells are transparent anti colorless. Structures of great interest in biology and medicine can be practically invisible to ordinary microscopy. To indicate the size and shape of cell structures, an interference micro-scope reveals a difference in index of refraction as a shift in interference fringes. The idea is exemplified in the following problem. An air wedge is formed between two glass plates in contact along one edge and slightly separated at the opposite edge as in Figure P37.37. When the plates are illuminated with monochromatic light from above, the reflected light has 85 dark fringes. Calculate the number of dark fringes that appear if water (n = 1.33) replaces the air between the plates.arrow_forwardYou are told not to shoot until you see the whites of their eyes. If the eyes are separated by 6.5 cm and the diameter of your pupil is 5.0 mm, at what distance can you resolve the two eyes using light of wavelength 555 nm?arrow_forward
- Figure 27.34 shows two 7.50-cm-long glass slides illuminated by pure 589-nm wavelength light incident perpendicularly. The top slide touches the bottom slide at one end and rests on some debris at the other end, forming a wedge of air. How thick is the debris, if the dark bands are 1.00 mm apart?arrow_forward(a) What is the minimum angular spread of a 633-nm wavelength He-Ne laser beam that is originally 1.00 mm in diameter? (b) If this laser is aimed at a mountain cliff 15.0 km away, how big will the illuminated spot be? (c) How big a spot would be illuminated on the Moon, neglecting atmospheric effects? (This might be done to hit a corner reflector to measure the round-trip time and, hence, distance.) Explicitly show how you follow the steps in Problem-Solving Strategies for Wave Optics.arrow_forwardTwo closely spaced wavelengths of light are incident on a diffraction grating. (a) Starting with Equation 37.7, show that the angular dispersion of the grating is given by dd=mdcos (b) A square grating 2.00 cm on each side containing 8 000 equally spaced slits is used to analyze the spectrum of mercury. Two closely spaced lines emitted by this element have wavelengths of 579.065 nm and 576.959 nm. What is the angular separation of these two wavelengths in the second-order spectrum?arrow_forward
- (a) What is the distance between the slits of a diffraction grating that produces a first-order maximum for the first Balmer line at an angle of 20.0°? (b) At what angle will the fourth line of the Balmer series appear in first order? (c) At what angle will the second-order maximum be for the first line?arrow_forwardIn each of the following situations, a wave passes through an opening in an absorbing wall. Rank the situations in order from the one in which the wave is best described by the ray approximation to the one ill which the wave coming through the opening spreads out most nearly equally in all directions in the hemisphere beyond the wall, (a) The sound of a low whistle at 1 kHz passes through a doorway 1 m wide, (b) Red light passes through the pupil of your eye. (c) Blue light passes through the pupil of your eye. (d) The wave broadcast by an AM radio station passes through a doorway 1 m wide, (e) An x-ray passes through the space between bones in your elbow Joint.arrow_forward
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