COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 23, Problem 72QAP
To determine
The position of the 1st three dark fringes..
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•10 GO
Manufacturers of wire (and other objects of small
dimension) sometimes use a laser to continually monitor the
thickness of the product. The wire intercepts the laser beam, pro-
ducing a diffraction pattern like that of a single slit of the same
width as the wire diameter (Fig. 36-37). Suppose a helium-neon
laser, of wavelength 632.8 nm, illuminates a wire, and the diffrac-
tion pattern appears on a screen at distance L = 2.60 m. If the
desired wire diameter is 1.37 mm, what is the observed distance
between the two tenth-order minima (one on each side of the
central maximum)?
Wire
He-Ne
laser
L
Figure 36-37 Problem 10.
Wire-making
machine
•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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- What is the maximum number of lines per centimeter a diffraction grating can have and produce a complete first-order spectrum for visible light?arrow_forwardFigure 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_forwardHow many lines per centimeter are there on a diffraction grating that gives a first-order maximum for 470-nm blue light at an angle of 25.0°?arrow_forward
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- Light of wavelength 632.8 nm illuminates a single slit, and a diffraction pattern is formed on a screen 1.00 m from the slit. (a) Using the data in the following table, plot relative intensity versus position. Choose an appropriate value for the slit width a and, on the same graph used for the experimental data, plot the theoretical expression for the relative intensity IImax=sin22 where = (a sin )/. (b) What value of a gives the best fit of theory and experiment? Position Relative to Maximum (mm) Relative Intensity 0 1.00 0.8 0.95 1.6 0.80 3.2 0.39 4.8 0.079 6.5 0.003 8.1 0.036 9.7 0.043 11.3 0.013 12.9 0.000 3 14.5 0.012 16.1 0.015 17.7 0.004 4 19.3 0.000 3arrow_forwardThe intensity on the screen at a certain point in a double- slit interference pattern is 64.0% of the maximum value. (a) What minimum phase difference (in radians) between sources produces this result? (b) Express this phase difference as a path difference for 486.1-nm light.arrow_forwardA diffraction grating has 4 200 rulings/cm. On a 2.00 m from the grating. it is found that for a particular order m, the maxima corresponding lo two closely spaced wavelengths of sodium (589.6 nm and 589.6 nm) are separated by 1.54 mm. Determine the value of m.arrow_forward
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