Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Textbook Question
Chapter 14.1, Problem 1bT
For what values of the path length difference (written in terms of () will there be:
• maximum constructive interference (i.e., a maximum)?
• complete destructive interference (i.e., a minimum)?
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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 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=________
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=________
Explain in great detail, the two point source interference pattern and provide a diagram to further convey the concept.
Chapter 14 Solutions
Tutorials in Introductory Physics
Ch. 14.1 - In the magnified view of the slits, an arrow is...Ch. 14.1 - For what values of the path length difference...Ch. 14.1 - Suppose that a single change were made to the...Ch. 14.1 - Prob. 2aTCh. 14.1 - Prob. 2bTCh. 14.1 - Prob. 2cTCh. 14.1 - Use trigonometry to show that the path length...Ch. 14.1 - Prob. 3bTCh. 14.2 - How does the voltmeter reading compare to the...Ch. 14.2 - Prob. 1bT
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- 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. Two slits that are 0.200 mm apart produce an interference pattern on a screen such that the central maximum and the 10th bright band are distanced by an amount equal to one-tenth the distance from the slits to the screen. y= ________ d=________ m=_______ L=________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. Consecutive bright bands on an interference pattern are 3.5 cm apart when the slide containing the slits is 10.0 m from the screen. The slit separation distance is 0.050 mm. y= ________ d=________ m=_______ L=________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. If two slits 0.100 mm apart are separated from a screen by a distance of 300 mm, then the first-order minimum will be 1 cm from the central maximum. y= ________ d=________ m=_______ L=________arrow_forward
- Discuss the two cases, constructive and destructive interferences, as a result of thin-film interference. (Provide figure/s to support your statement.)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. An interference pattern is produced when light is incident upon two slits that are 50.0 micrometers apart. The perpendicular distance from the midpoint between the slits to the screen is 7.65 m. The distance between the two third-order antinodes on opposite sides of the pattern is 32.9 cm. y= ________ d=________ m=_______ L=________arrow_forwardTwo loudspeakers are placed above and below each other, as in the figure below, and driven by the same source at a frequency of 4.40 ✕ 102 Hz. An observer is in front of the speakers (to the right) at point O, at the same distance from each speaker. What minimum vertical distance upward should the top speaker be moved to create destructive interference at point O? (Let h = 2.58 m and use v = 343 m/s.)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. a. Two slits separated by 0.250 mm produces an interference pattern in which the fifth dark band is located 12.8 cm from the central antinode when the screen is placed a distance of 8.2 meters away. y= ________ d=________ m=_______ L=________arrow_forwardWhen the width of the slit is made double, how would this effect the size and intensity of the central diffraction band? Justify your answer with the help of diagram.arrow_forwardDescribe why constructive interference happens when the path length difference is an integer multiple of the wavelength.arrow_forward
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