Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 36, Problem 30AP
(a)
To determine
To show: The relationship of overlapping fringes in a two slit interference pattern for two different wavelengths for large values of the angle is
(b)
To determine
The nonzero value of
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A 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
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Part A
What is the distance between the screen and the double slit?
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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)
?
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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)
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(b) Number 1.798e4
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(c) Number 5.75e4
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side of the central maximum and the 2nd minimum on the other side is 18.0cm. What is the slit
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Chapter 36 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 36.2 - Which of the following causes the fringes in a...Ch. 36.3 - Using Figure 36.6 as a model, sketch the...Ch. 36.5 - One microscope slide is placed on top of another...Ch. 36 - Two slits are separated by 0.320 mm. A beam of...Ch. 36 - Prob. 2PCh. 36 - A laser beam is incident on two slits with a...Ch. 36 - Prob. 4PCh. 36 - Prob. 5PCh. 36 - Light with wavelength 442 nm passes through a...Ch. 36 - Prob. 7P
Ch. 36 - A student holds a laser that emits light of...Ch. 36 - Coherent light rays of wavelength strike a pair...Ch. 36 - In Figure P36.10 (not to scale), let L = 1.20 m...Ch. 36 - Prob. 11PCh. 36 - Prob. 12PCh. 36 - In the double-slit arrangement of Figure P36.13, d...Ch. 36 - Monochromatic light of wavelength is incident on...Ch. 36 - Prob. 15PCh. 36 - Show that the distribution of intensity in a...Ch. 36 - Prob. 17PCh. 36 - Monochromatic coherent light of amplitude E0 and...Ch. 36 - Prob. 19PCh. 36 - Prob. 20PCh. 36 - Prob. 21PCh. 36 - Prob. 22PCh. 36 - When a liquid is introduced into the air space...Ch. 36 - Prob. 24PCh. 36 - Prob. 25PCh. 36 - Prob. 26PCh. 36 - Prob. 27PCh. 36 - Prob. 28APCh. 36 - Prob. 29APCh. 36 - Prob. 30APCh. 36 - Prob. 31APCh. 36 - Prob. 32APCh. 36 - In a Youngs double-slit experiment using light of...Ch. 36 - Prob. 34APCh. 36 - Figure P36.35 shows a radio-wave transmitter and a...Ch. 36 - Prob. 36APCh. 36 - In a Newtons-rings experiment, a plano-convex...Ch. 36 - Prob. 38APCh. 36 - A plano-concave lens having index of refraction...Ch. 36 - Prob. 40APCh. 36 - Interference fringes are produced using Lloyds...Ch. 36 - A plano-convex lens has index of refraction n. The...Ch. 36 - Prob. 43APCh. 36 - Prob. 44APCh. 36 - Prob. 45APCh. 36 - Prob. 46CPCh. 36 - Prob. 47CPCh. 36 - Prob. 48CPCh. 36 - Prob. 49CPCh. 36 - Prob. 50CP
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- In the double-slit arrangement of Figure P36.13, d = 0.150 mm, L = 140 cm, = 643 nm. and y = 1.80 cm. (a) What is the path difference for the rays from the two slits arriving at P? (b) Express this path difference in terms of . (c) Does P correspond to a maximum, a minimum, or an intermediate condition? Give evidence for your answer. Figure P36.13arrow_forwardCoherent light rays of wavelength strike a pair of slits separated by distance d at an angle 1, with respect to the normal to the plane containing the slits as shown in Figure P27.14. The rays leaving the slits make an angle 2 with respect to the normal, and an interference maximum is formed by those rays on a screen that is a great distance from the slits. Show that the angle 2 is given by 2=sin1(sin1md) where m is an integer.arrow_forwardLight 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 Units (c) Number Units (d) Number Units Intensity (mW/cm²)arrow_forward
- Light 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_forwardIn 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_forwardThe figure shows the interference pattern that appears on a distant screen when coherent light is incident on a mask with two identical, very narrow slits. Points P and Q are maxima; Point R is a minimum. The wavelength of the light that created the interference pattern is λ=678nm, the two slites are separated by rm d=6 μm, and the distance from the slits to the center of the screen is L=80cm . The difference in path length at a point on the screen is Δs=|s1−s2|, where s1s1 and s2s2 are the distances from each slit to the point. What is ΔsΔs (in nm) at Point P? What is ΔsΔs (in nm) at Point Q? What is ΔsΔs (in nm) at Point R?arrow_forward
- The figure shows a Young's double slit experimental setup. It is observed that when a thin transparent sheet of a Its) Hepre T thickness t and refractive index u is put in front of one of the slits, the a(μµ − 1) - central maximum gets shifted by a distance equal to n fringe widths. If the wavelength of light used is λ, t will be 2nDλ (a) (b) 2Dλ a(μ-1) (c) Dλ a(µ − 1) - D (d) Screen nDλ a(μµ - 1)arrow_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_forwardConsider a 560 nm light falling on a single slit of width 1.1 μm.λ = 560 nmw = 1.1 μm At what angle (in degrees) is the first minimum for the light? θ=??arrow_forward
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Spectra Interference: Crash Course Physics #40; Author: CrashCourse;https://www.youtube.com/watch?v=-ob7foUzXaY;License: Standard YouTube License, CC-BY