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College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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![**Problem 9: Single Slit Interference Pattern**
*Suppose the interference pattern shown in the figure below is produced by monochromatic light passing through a single slit, that has a width of 146 µm, and onto a screen 3.00 m away. What is the wavelength of the light if the distance between the dashed lines is 2.38 cm?*
\[ \text{Wavelength:} \, \_\_\_\_ \, \text{nm} \]
**Diagram Explanation:**
The diagram depicts an interference pattern on a screen due to light passing through a single slit. The pattern consists of a central bright fringe flanked by alternating dark and bright fringes. The dashed lines in the pattern indicate the locations of the first minima on either side of the central maximum, which form the distance specified as 2.38 cm.](https://content.bartleby.com/qna-images/question/e4a06524-cdae-4bde-89a8-f8cc3ad05f41/df782a4a-d4fc-4eb3-95ae-e38f3887f5e6/jhfqsiv_thumbnail.jpeg)
Transcribed Image Text:**Problem 9: Single Slit Interference Pattern**
*Suppose the interference pattern shown in the figure below is produced by monochromatic light passing through a single slit, that has a width of 146 µm, and onto a screen 3.00 m away. What is the wavelength of the light if the distance between the dashed lines is 2.38 cm?*
\[ \text{Wavelength:} \, \_\_\_\_ \, \text{nm} \]
**Diagram Explanation:**
The diagram depicts an interference pattern on a screen due to light passing through a single slit. The pattern consists of a central bright fringe flanked by alternating dark and bright fringes. The dashed lines in the pattern indicate the locations of the first minima on either side of the central maximum, which form the distance specified as 2.38 cm.
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- 1)A red low-power laser with λ = 634nm was beamedat a double-slit grating. An interference patternappeared on a screen 2.50 m from the grating. Thedistance from central spot to the next bright spotwas 22.5cm.What is the spacing between the slits in the grating? 2. The red laser (in Q1) is replaced by a blue laserwith a shorter wavelength. All else is the same.Show mathematically whether the interferencepattern it produces will place the bright spots closeror further apart. 3.Given that the blue laser in Q2 has a wavelength of445 nm, calculate the “spot-spacing” for the sameslit grating and screen distance as in Q1. 4.A green laser beam produces spots which are0.334m apart (central to m=1) when a grating is usedwith slits 3,000 nm apart and a screen 1.90m away.What is the wavelength of the laser light?arrow_forward4. What is the wavelength of light falling on double slits separated by 2.00 µm if the second- order maximum is at an angle of 60.0°? 5. Calculate the distance between two adjacent fringes for 633-nm light falling on double slits separated by 0.0800 mm, located 3.00 m from a screen.arrow_forward7-arrow_forward
- 16. If the first-order maxima of a diffraction grating occurs at 6.2° for light with a wavelength of 475 nm, a) What is the slit spacing? b) How many slits are in the grating if the grating is 1.33 cm long?arrow_forward6. Structures on a hummingbird feather act like a diffraction grating having 8000 lines per centimeter. What is the angle of the first-order maximum for 488-nm light? 2 7. When red light illuminates a grating with 7000 lines per centimeter, its second maximum is at 62.4°. What is the wavelength of this light?arrow_forward6. A beam of light traveling in air has a wavelength of 475 nm. If the light illuminates a diffraction grating with 3000 lines/cm, what is the angle of the second-order bright spot produced? f19 0 oof19arrow_forward
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