**Question 4:**The figure below shows two single-slit diffraction patterns. The distance between the slit and the viewing screen is the same in both cases. Which of the following statements could be true? Circle A, B, C, or D.- **Diagrams:** - The first diagram is labeled \(a_1, \lambda_1\) and shows a single-slit diffraction pattern with distinct fringes. - The second diagram is labeled \(a_2, \lambda_2\) and also shows a single-slit diffraction pattern, but the fringe pattern differs from the first.- **Options:** - **A.** The slits are the same for both and \(\lambda_2 > \lambda_1\). - **B.** The wavelengths are the same for both and \(a_1 > a_2\). - **C.** The wavelengths are the same for both and \(a_1 < a_2\). - **D.** None of the above.

Single-Slit Diffraction: When light passes through a narrow slit, it spreads out and interferes with…

4. The figure below shows two single-slit diffraction patterns. The distance between the slit and the viewing screen is the same in both cases. Which of the following statements could be true? Circle A, B, C, or D. αι, λι a2, 22 A. The slits are the same for both and >. B. The wavelengths are the same for both and q>a₂. C. The wavelengths are the same for both and a₁

4. The figure below shows two single-slit diffraction patterns. The distance between the slit and the viewing screen is the same in both cases. Which of the following statements could be true? Circle A, B, C, or D. αι, λι a2, 22 A. The slits are the same for both and >. B. The wavelengths are the same for both and q>a₂. C. The wavelengths are the same for both and a₁

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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2. A light source emits visible light of two wavelengths: A = 400 nm and A' = 500 nm. The source is used in a double-slit interference experiment in which L= 1.2 m and d = 0.030 mm. Find the separation between the third- order bright fringes. %3D
4. Light of wavelength 589 nm is used to view an object under a microscope. If the aperture of the objective has a diameter of 0.9 cm, what is the limiting angle of resolution? If the light is in the visible range, what would be the maximum limit of resolution for this microscope?
Which condition is NOT required for the single-slit diffraction experimental set-up? O a. The size of the slit is similar (comparable) to the wavelength of the light. O b. Coherent and monochromatic light is used. O c. The wave (usually light) must travel through a single slit. O d. The size of the slit is very small compared to the distance of the slit from the screen.
10. You have a single-slit diffraction apparatus, with a slit 4.60 × 10−6 m wide arranged 1.80 m from the screen. You would like an anti-node to appear 68.2 cm from the right bisector. What are two possible visible wavelengths you could use?
Light that has a wavelength of 600 nm is incident on a single slit that is 54 μm wide. 1. Determine the angular location of the first dark fringe that is formed on a screen behind the slit. 2. Determine the angular location of the second dark fringe that is formed on a screen behind the slit. 3. Determine the angular location of the third dark fringe that is formed on a screen behind the slit.
6. 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?
3. A particular diffraction grating has 1 300 grooves per millimeter, and 15.0 mm of illuminated area. a) Assuming an incident angle of 45.0°, calculate the diffraction angle for first-order light at 625 nm. b) What wavelength of light would give this same diffraction angle in the second order? )What is the first-order resolving power of the grating? d) What must be the separation (in nm) of two first-order spectral lines centered at 625 nm if they are to be resolved? e) What is the angular dispersion (in degrees) between the two lines in part (d) asthey emerge from the grating?
5. Draw the variation of the mean light intensity (l) with respect to the angle of diffraction (teta) if i is due to interference of light of wavelength (lamda) using 2 slits. It is known that each slit has a width of a(- 2 lamda) and the distance between the two slits is d(- 4 lamda).
A monochromatic light is directed onto a single slit 9.1 x 10 -3 mm wide. If the angle between the second dark fringes (minimums) and the central maximum is 8°: a) Calculate the wavelength of light. b) Determine the angular position of the third minimum.
1. a) Your teacher produces a light interference pattern on the wall. How will you identify whether the pattern is being created by a single, double, or multiple slit apparatus? b) Use the single slit simulator to validate the equations learned in this activity related to single-slit diffraction. Use the simulator to obtain measurements, and then show complete calculations of the wavelength of light using all five of the single-slit equations. (Note that you will have to calculate the angle using the sine function.) Choose any set-up you desire in terms of distance to the screen, the width of the slit, and wavelength. How do your calculated wavelengths compare to the wavelength given in the simulation? c) When white light, composed of all wavelengths (as opposed to monochromatic light that is composed of one wavelength of light), is shone through a diffraction grating, bands of various colours appear on the screen. For example, there may be first-order (m = 1) fringes for red, orange,…
3. In a double slit experiment, the distance between the slits is d=1 mm. A screen is situated at a distance of 2.5 m from the slits. Point P is at a distance of 25 cm from O', as in Figure. O' is the orthogonal projection of the center between the slits (0) on the screen. Monochromatic light with frequency v= 550 THz is used in this experiment. (a) Calculate the intensity of light at point P. (b) Calculate the angle ZP00'. (c) Calculate the location of the first three maxima with respect to point O'. (d) Calculate the location of the first three minima with respect to point O'. BONUS: You now consider that each slit has width a =0.05 mm. Calculate the intensity of light at point P. P.