Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 25.1, Problem 2aTH
Label each nodal line and line of maximum constructive interference in the shaded region with the appropriate value of
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For problem 13 calculate the intensity relative to the maximum for a point on the screen 6.3 cm above the central maximum (5 sig figs)
air
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The figure shows a soap film of thickness
dį in air. Light impinges on the film with
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and 2 represents reflected light, while
rays 3 and 4 represent light that has been
transmitted into the glass.
soap
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n, = 1.33
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air
n= 1
3
4
The bracketed letters (a], [b], and [c] indicate reflections at the air-soap, and soap-air
interfaces. For which of these reflections does a phase change of n occur? Check all
that apply.
[a]
[b]
O (c)
What minnimum frequency will produce maximum destructive interference at your location?
What minimum frequency will produce maximum constructive interference at your location?
Chapter 25 Solutions
Tutorials in Introductory Physics
Ch. 25.1 - The top view diagram at right illustrates two...Ch. 25.1 - The top view diagram at right illustrates two...Ch. 25.1 - Label each nodal line and line of maximum...Ch. 25.1 - Prob. 2bTHCh. 25.1 - How do the angles a and ß compare? Explain.Ch. 25.1 - Prob. 3bTHCh. 25.1 - Prob. 3cTHCh. 25.1 - The enlarged diagram at right illustrates the...Ch. 25.1 - For what values of D (in terms of ) will there be:...Ch. 25.1 - Use your answers from parts d and e to write...
Ch. 25.1 - Determine the angles for which there will be nodal...Ch. 25.1 - Consider the following incorrect statement...Ch. 25.2 - In the space above the photograph at right,...Ch. 25.2 - The screen is 2.2m from the slits, and the...Ch. 25.2 - Suppose that the width of the right slit were...Ch. 25.2 - The graph of intensity versus angle at right...Ch. 25.3 - The photograph at right illustrates the pattern...Ch. 25.3 - The photograph at right illustrates the pattern...Ch. 25.3 - Consider the original doubleslit pattern from...Ch. 25.3 - Consider the original doubleslit pattern from...Ch. 25.3 - Consider the original doubleslit pattern from...Ch. 25.3 - Prob. 3aTHCh. 25.3 - Monochromatic light from a distant point source...Ch. 25.4 - Light from a distant point source is incident on a...Ch. 25.4 - The graph at right shows the intensity on a...Ch. 25.4 - The graph at right shows the intensity on a...Ch. 25.4 - There is a systematic way of determining the...Ch. 25.4 - There is a systematic way of determining the...Ch. 25.4 - There is a systematic way of determining the...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.5 - Light from a laser (=633nm) is incident on two...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.6 - Recall the situation from tutorial, in which light...Ch. 25.6 - Recall the situation from tutorial, in which light...Ch. 25.6 - A plate of glass (n=1.5) is placed over a flat...Ch. 25.6 - A plate of glass (n=1.5) is placed over a flat...Ch. 25.6 - A plate of glass (n=1.5) is placed over a flat...Ch. 25.7 - Identical beams of light are incident on three...Ch. 25.7 - Prob. 1bTHCh. 25.7 - Unpolarized light of intensity I0 incident on a...Ch. 25.7 - Unpolarized light of intensity I0 incident on a...Ch. 25.7 - Unpolarized light of intensity I0 incident on a...Ch. 25.7 - Unpolarized light of intensity I0 incident on a...Ch. 25.7 - Unpolarized red light is incident on two...Ch. 25.7 - Unpolarized red light is incident on two...Ch. 25.7 - Unpolarized red light is incident on two...Ch. 25.7 - Unpolarized red light is incident on two...
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- White light is incident on the surface of an oil slick (thin film) on water at an angle of 33 degrees from the normal. Given that the index of refraction of water is 1.33 and that of the oil is 1.4 a, write the expression of the phase change of the refracted wave after emerging from the oil slick (phi2) b, write the expression of the phase difference between the two waves (delta phi) c, Write the condition of perfect destructive interference in this case. d, make the thickness of the oil film (t) the subject of your expression in c), simplify it and write t as function of m and lambda. e, compute the smallest thickness of the oil film that will suppress the reflection of the green light of 532 nm wavelength. f, which thickness will be required to produce the next complete destructive interference of this green light in the reflection spectrum?arrow_forwardThe analysis of any two-point source interference pattern and a successful determination of wavelength demands an ability to sort through the measured information and equating the values with the symbols in Young's equation. Apply your understanding by interpreting the following statements and identifying the values of y, d, m and L. Finally, perform some conversions of the given information such that all information share the same unit. The fifth antinodal line and the second nodal line on the opposite side of an interference pattern are separated by a distance of 32.1 cm when the slits are 6.5 m from the screen. The slits are separated by 25.0 micrometers. y= ________ d=________ m=_______ L=________arrow_forwardB Q1/ The dispersion carve of glass can be represented approximately by n = A +, the reflective index of glass prism is given as n = 1.55 + 0.9 * 104 calculate the phase and group velocity at U=5.5*1014 Hz.arrow_forward
- The analysis of any two-point source interference pattern and a successful determination of wavelength demands an ability to sort through the measured information and equating the values with the symbols in Young's equation. Apply your understanding by interpreting the following statements and identifying the values of y, d, m and L. Finally, perform some conversions of the given information such that all information share the same unit. The fourth nodal line on an interference pattern is 8.4 cm from the first antinodal line when the screen is placed 235 cm from the slits. The slits are separated by 0.25 mm. y= ________ d=________ m=_______ L=________arrow_forwardIn the figure, two radio-frequency point sources S1 and S2, separated by distance d = 2.4 m, are radiating in phase with A = 0.6 m. A detector moves in a large circular path around the two sources in a plane containing them. How many maxima does it detect? Number i Unitsarrow_forward(Homework 14 and Diffraction Problem 36.54 A slit 0.400 mm wide is illuminated by parallel rays of light that have a wavelength of 590 nm . The diffraction pattern is observed on a screen that is 1.20 m from the slit. The intensity at the center of the central maximum (0=0°) is Ip.arrow_forward
- Ql: A multimode step index fiber has a numerical aperture of 0.54, core diameter of 50µm and a cladding refractive index of 1.4. The LD at 1400nm was used as a source. Find: 1. Number of the modes that are travelling in the fiber. 2. Normalized frequency 3. The launching angle of the third mode of propagation (assume the reflection coefficient phase =0 degree). 4. The acceptance angle of the fiber. Q2: Calculate the output optical power for 30cm polymer waveguide if the launched optical power was -3dBm. The total loss for the waveguide was 30, 33 and 35.8dB for 10, 15 and 20cm waveguide channels lengths, respectively.arrow_forwardExplain two point source interference pattern. Provide a diagram and explain the mathematical analysis of the two point source pattern.arrow_forwardDescribe why constructive interference happens when the path length difference is an integer multiple of the wavelength.arrow_forward
- (Figure 1) shows the circular wave fronts emitted by two wave sources. Are these sources in phase or out of phase? Make a table with rows labeled P, Q, and R and columns labeled r1, r2, Δr, and C/D. Fill in the table for points P, Q, and R, giving the distances as multiples of λ and indicating, with a C or a D, whether the interference at that point is constructive or destructive.arrow_forwardLet yland y2 be the wavefunctions of two interfering waves. In which of the listed cases, the interference is totally constructive? O y1 = A sin(10x+ 24nt) and y2 = A sin(10x + 24rnt + 4n/5) O y1 = A sin(7x + 30nt - T/5) and y2 = A sin(7x + 30nt) O y1 = A sin(4x - 30nt + 4) and y2 = A sin(4x - 30nt) O y1 = A sin(10x - 30rt - 3n) and y2 = A sin(10x - 30nt) O y1 = A sin(4x + 24rtt) and y2 = A sin(4x + 24tt + T/5)arrow_forwardProblem 2 For wavelengths in the visible spectrum, the index of refraction of a cer- tain type of crown glass can be approximated by the relation n(1) = 1.5255 + (4825 nm²)/a². b. Find the phase velocity, in this glass, for a pulse with frequency com- ponents centered around 500 nm. c. Find the group velocity, in this glass, for a pulse with frequency com- ponents centered around 500 nm.arrow_forward
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