Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 37, Problem 48AP
(a)
To determine
To prove that
(b)
To determine
The non-zero value of
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Light of wavelength 470 nm passes through a double slit, yielding a diffraction pattern whose graph of intensity I versus angular position e is shown in
the figure. Calculate (a) the slit width and (b) the slit separation. If Im = 7.1 mW/cm2 what are the intensities of the (c) m 1 and (d) m = 2
interference fringes?
9.
e (degrees)
Units
(a) Number 4496
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(b) Number 1.798e4
nm
UnitsmW/m^2
(c) Number 5.75e4
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(d) Number | 1.15e5
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A double-slit interference pattern is created by two narrow slits spaced 0.20 mm apart. The distance between the first and the fifth minimum on a screen 59 cm behind the slits is 6.5 mm.
What is the wavelength (in nmnm) of the light used in this experiment?
Light of wavelength 470 nm passes through a double slit, yielding a diffraction pattern whose graph of intensity I versus angular
position 0 is shown in the figure. Calculate (a) the slit width and (b) the slit separation. If Im = 7.1 mW/cm2 what are the
intensities of the (c) m
%3D
= 1 and (d) m = 2 interference fringes?
m,
9.
0 (degrees)
(a) Number
Units
(b) Number
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(c) Number
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(d) Number
Units
Intensity (mW/cm²)
Chapter 37 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 37.2 - Which of the following causes the fringes in a...Ch. 37.3 - Using Figure 36.6 as a model, sketch the...Ch. 37.5 - One microscope slide is placed on top of another...Ch. 37 - Prob. 1OQCh. 37 - Four trials of Youngs double-slit experiment are...Ch. 37 - Suppose Youngs double-slit experiment is performed...Ch. 37 - Prob. 4OQCh. 37 - Prob. 5OQCh. 37 - Prob. 6OQCh. 37 - Prob. 7OQ
Ch. 37 - Prob. 8OQCh. 37 - Prob. 9OQCh. 37 - A film of oil on a puddle in a parking lot shows a...Ch. 37 - Prob. 1CQCh. 37 - Prob. 2CQCh. 37 - Prob. 3CQCh. 37 - Prob. 4CQCh. 37 - Prob. 5CQCh. 37 - Prob. 6CQCh. 37 - Prob. 7CQCh. 37 - Prob. 8CQCh. 37 - Prob. 9CQCh. 37 - Two slits are separated by 0.320 mm. A beam of...Ch. 37 - Prob. 2PCh. 37 - A laser beam is incident on two slits with a...Ch. 37 - Prob. 4PCh. 37 - Prob. 5PCh. 37 - Prob. 6PCh. 37 - Prob. 7PCh. 37 - Prob. 8PCh. 37 - Prob. 9PCh. 37 - Light with wavelength 442 nm passes through a...Ch. 37 - Prob. 11PCh. 37 - Prob. 12PCh. 37 - Prob. 13PCh. 37 - Prob. 14PCh. 37 - Prob. 15PCh. 37 - A student holds a laser that emits light of...Ch. 37 - Prob. 17PCh. 37 - Prob. 18PCh. 37 - Prob. 19PCh. 37 - Prob. 20PCh. 37 - Prob. 21PCh. 37 - Prob. 22PCh. 37 - Prob. 23PCh. 37 - Prob. 24PCh. 37 - Prob. 25PCh. 37 - Monochromatic coherent light of amplitude E0 and...Ch. 37 - Prob. 27PCh. 37 - Prob. 28PCh. 37 - Prob. 29PCh. 37 - Prob. 30PCh. 37 - Prob. 31PCh. 37 - Prob. 32PCh. 37 - Prob. 33PCh. 37 - Prob. 34PCh. 37 - Prob. 35PCh. 37 - Prob. 36PCh. 37 - Prob. 37PCh. 37 - Prob. 38PCh. 37 - When a liquid is introduced into the air space...Ch. 37 - Prob. 40PCh. 37 - Prob. 41PCh. 37 - Prob. 42PCh. 37 - Prob. 43PCh. 37 - Prob. 44PCh. 37 - Prob. 45APCh. 37 - Prob. 46APCh. 37 - Prob. 47APCh. 37 - Prob. 48APCh. 37 - Prob. 49APCh. 37 - Prob. 50APCh. 37 - Prob. 51APCh. 37 - In a Youngs interference experiment, the two slits...Ch. 37 - In a Youngs double-slit experiment using light of...Ch. 37 - Prob. 54APCh. 37 - Prob. 55APCh. 37 - Prob. 56APCh. 37 - Prob. 57APCh. 37 - Prob. 58APCh. 37 - Prob. 59APCh. 37 - Prob. 60APCh. 37 - Prob. 61APCh. 37 - Prob. 62APCh. 37 - Prob. 63APCh. 37 - Prob. 64APCh. 37 - Prob. 65APCh. 37 - Prob. 66APCh. 37 - Prob. 67APCh. 37 - Prob. 68APCh. 37 - Prob. 69APCh. 37 - Prob. 70APCh. 37 - Prob. 71CPCh. 37 - Prob. 72CPCh. 37 - Prob. 73CPCh. 37 - Prob. 74CPCh. 37 - Prob. 75CPCh. 37 - Prob. 76CP
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- Figure P36.53 shows two thin glass plates separated by a wire with a square cross section of side length w, forming an air wedge between the plates. What is the edge length w of the wire if 42 dark fringes are observed from above when 589-nm light strikes the wedge at normal incidence? FIGURE P36.53arrow_forwardYoung's double slit experiment is one of the classic tests for the wave nature of light. In an experiment using red light (λ = 639 nm) the second dark fringe on either side of the central maximum is 0 = 3.1 degrees relative to the central bright fringe. - Part (a) ✓ Write an expression for the separation distance d between the slits. d = 1.5 (N/sin(0)) Part (b) ✓ Correct! Numerically, what is the distance of d in nanometers? d=2.30510-5|| Grade Summary Deductions 8% Potential Submissions 92% sin() cos() tan() π (7 8 9 HOME Attempt(s) Remaining: 1 cotan() asin() acos() E Λ 5 6 4% Deduction per Attempt detailed view atan() acotan() sinh() * 2 3 1 2 4% 4% cosh() tanh() cotanh() + - 0 END • Degrees Radians VO BACKSPACE DEL CLEAR Submit Submission(s) Remaining Hint Feedback I give up! Hints: 0 for a 0% deduction. Hints remaining: 0 Part (c) Feedback: 5% deduction per feedback. Numerically, at what angle can the first bright fringe be found relative to the m = O central fringe? Answer in…arrow_forwardA red He-Ne laser and a green Kr-Ar laser shine through a double slit, where the spacing between the slits is 50.0 um. The red laser has a wavelength of 632.8 nm while the green laser has a wavelength of 514.5 nm. The distance between the central bright spot and the first red fringe is 3.1 cm. The small angle approximation can be assumed in this question. Recall u = 10-6 n = 2 n = 1 n = 1 Central bright spot Part A What is the distance between the screen and the double slit? Hνα ΑΣφ D = m Submit Request Answer Part B How far (in centimeters) from each side of the first red fringe is a green fringe located? (Find r1 and rz on the screen illustrated above) ? T1, r2 = cm Submit Request Answerarrow_forward
- In a double-slit experiment, green light (5303 Å) falls on a double slit having a separation of 19.44 µ-m and a width of 4.05 µ-m. The number of bright fringes between the first and the second diffraction minima is (a) 5 (b) 10 (c) 9 (d) 4arrow_forwardIn a double-slit diffraction experiment, two slits of width 12.4 x 10-6 m are separated by a distance of 32.2 x 10-6 m, and the wavelength of the incident light is 671 nm. The diffraction pattern is viewed on a screen 4.63 m from the slits. Assume Ip is the intensity at a point P, a distance y= 69.8 cm on the screen from the central maximum. Find the ratio of the intensity at P and the intensity at the center of the diffraction pattern (I), Ip/Io. i Hint The ratio of the intensities is given by = (sin(a)) ² Ip Io Save for Later cos (B)². Submit Answerarrow_forwardLight of wavelength λ = 610 nm and intensity I0 = 240 W/m2 passes through a slit of width w = 4.8 μm before hitting a screen L = 1.6 meters away. Part (a) Use the small-angle approximation to write an equation for the phase difference, β, between rays that pass through the very top and very bottom of the slit when the rays hit a point y = 46 mm above the central maximum. Part (b) Calculate this phase difference, in radians? Part (c) What is the intensity of the light, in watts per square meter, at this point?arrow_forward
- A monochromatic light with 536nm pass through a slit that is 0.240 mm wide. In the resulting diffraction pattern, the intensity at the center of the central maximum is 4.00 *10-5 W/m2. What is the intensity at a point on the screen the corresponding to θ=1.20˚?arrow_forwardIn a single-slit diffraction experiment, the width of the slit is 1.90 µm. If a beam of light of wavelength 610 nm forms a diffraction pattern, what is the angle associated with the first minimum above the central bright fringe? O 18.7° O 9.35° 39.9° O 11.4°arrow_forwardWhite light is used to illuminate the two slits in a Young's double slit experiment. The separation between the slits is b and the screen is at a distance d (>> b) from the slits. At a point on the screen directly in front of one of the slits, certain wavelengths are missing. Some of these missing wavelengths are (a) λ = b²/d (b) λ = 2b²/d (d) λ = 2b²/3d (c) λ = b²/3d 2arrow_forward
- In a Young's double slit experiment set up, sources of wavelength 500nm illuminates two slits S, and S, which act as two coherent sources. The Source S oscillates about its own position according to the equation y = 0.5 sin where y is in mm and t in seconds. The minimum value of time t for which the intensity at point P on the screen exactly infront of the upper slit becomes minimum is 1mm 4-1m-→ 2marrow_forwardIn the two-slit interference experiment, the slit widths are each 4.0 μm, their separation is 24.0 μm, the wavelength is 600 nm, and the viewing screen is at a distance of 2.00 m from the slits. Point P lies at distance y =5.0 cm from the center of the pattern. (a) Without diffraction effects taken into account, what is the ratio of IP to the intensity Im at the center of the pattern? (b) With diffraction effects taken into account, what is the ratio of IP to the intensity Im at the center of the pattern?arrow_forwardYou measure distances from the center of a diffraction pattern (y) to a series of dark fringes on a screen that is 0.3000 ± 0.0005 m from the 0.04-mm wide slit you are using to create the pattern. You create a plot of y (in m) vs m and get a slope for the best- fit line of 0.005525 ±8.175 × 10-6. What is the wavelength of the laser you used to collect the data? away 土 )m Checkarrow_forward
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