Question 44 - Answer step to step the following question: A slit 0.50 mm wide is illuminated by light of a wavelength equal to 550 nm. What is the width (in mm) of the central maximum projected onto a screen placed 2.0 m behind the slit? Justify your asnwer.

Question 44 - Answer step to step the following question: A slit 0.50 mm wide is illuminated by light of a wavelength equal to 550 nm. What is the width (in mm) of the central maximum projected onto a screen placed 2.0 m behind the slit? Justify your asnwer.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter3: Interference

Section: Chapter Questions

Problem 63AP: A hydrogen gas discharge lamp emits visible light at four wavelengths, =410 , 434, 486, and 656 nm....

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Two slits of width 2 m, each in an opaque material, are separated by a center-to-center distance of 6 m. A monochromatic light of wavelength 450 nm is incident on the double-slit. One finds a combined interference and diffraction pattern on the screen. (a) How many peaks of the interference will be observed in the central maximum of the diffraction pattern? (b) How many peaks of the interference will be observed if the slit width is doubled while keeping the distance between the slits same? (c) How many peaks of interference will be observed if the slits are separated by twice the distance, that is, 12 m, while keeping the widths of the slits same? (d) What will happen in (a) if instead of 450-nm light another light of wavelength 680 nm is used? (e) What is the value of the ratio of the intensity of the central peak to the intensity of the next bright peak in (a)? (f) Does this ratio depend on the wavelength of the light? (g) Does this ratio depend on the width or separation of the slits?
Ten narrow slits are equally spaced 0.25 mm apart and illuminated with yellow light of wavelength 580 nm. (a) What are the angular positions of the third and fourth principal maxima? (b) What is the separation of these maxima on a screen 2.0 m from the slits?
Fifty-one narrow slits are equally spaced and separated by 0.10 mm. The slits are illuminated by blue light of wavelength 400 nm. What is angular position of the twenty-fifth secondary maximum? What is its peak intensity in comparison with that of the primary maximum?
Monochromatic light of wavelength 530 nm passes through a horizontal single slit of width 1.5 m in an opaque plate. A screen of dimensions 2.0m2.0m is 1.2 m away from the slit. (a) Which way is the diffraction pattern spread out on the screen? (b) What are the angles of the minima with respect to the center? (c) What are the angles of the maxima? (d) How wide is the central bright fringe on the screen? (e) How wide is the next bright fringe on the screen?
A beam of monochromatic light is incident on a single slit of width 0.630 mm. A diffraction pattern forms on a wall 1.35 m beyond the slit. The distance between the positions of zero intensity on both sides of the central maximum is 2.10 mm. Calculate the wavelength of the light. .049 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. nm
1. O -12 points SerPSE9 38.P.001.MI.FB. My Notes O Ask Your Teacher Light of wavelength 588.0 nm illuminates a slit of width 0.80 mm. (a) At what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 0.89 mm from the central maximum? m (b) Calculate the width of the central maximum. mm Need Help? Read It Master It 2. O -11 points SerPSE9 38.P.005. My Notes + Ask Your Teacher Coherent microwaves of wavelength 5.00 cm enter a tall, narrow window in a building otherwise essentially opaque to the microwaves. If the window is 45.0 cm wide, what is the distance from the central maximum to the first-order minimum along a wall 6.50 m from the window? cm Need Help? Read It 3. -/1 points SerPSE9 38.P.007.MI.FB. My Notes Ask Your Teacher A screen is placed 60.0 cm from a single slit, which is illuminated with light of wavelength 690 nm. If the distance between the first and third minima in the diffraction pattern is 3.10 mm, what is the width of…
A beam of monochromatic light is diffracted by a slit of width 0.615 mm. The diffraction pattern forms on a wall 1.06 m beyond the slit. The width of the central maximum is 1.85 mm. Calculate the wavelength of the light. 3.32e-4 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. nm
450 nm light from a Helium-Neon laser is incident on two tiny slits that are 6.5 μm apart, forming bright and dark fringes ona. screen 89 cm away. How far from the central bright fringe is the next bright fringe? Simplify your answer so that it doesn't have any trig functions in it. PLEASE PLEASE draw the situation/diagram and define variables Thank you!
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What can you deduce with the calculated wavelength below? What relationship does it have with the slit width and/or distance between side orders? Does the calculated wavelength agree or deviate from certain optical theories? Explain. Slit to screen distance (L) is 27cm Theoretical wavelength is 650 cm Slit width, a (mm) 0.02 0.04 0.08 0.16 Distance between side orders, Δy_1 (cm) 2.80 1.00 0.45 0.20 Distance between side orders, y_1 (cm) 1.40 0.50 0.23 0.10 Calculated Wavelength (nm) 1037 741 667 593
a. What would happen if the top ray is a full wavelength longer than the ray from the bottom of the slit? Hint: Draw a triangle such that the slit width (a) is the hypotenuse and the top side is 1 lambda long. b. What would happen if it was a half wavelength longer than the ray from the bottom of the slit? c. Can you come up with a general formula for the location of minima and maxima for the single slit diffraction pattern? d. Predict what the pattern would look like if the light was shown through a rectangular or circular aperture instead of being shown through a long thin slit.
How the data were collected:Align the light source (laser diode: 650 nm on label) on an optical bench. Setup a white screen that is parallel with respect to the slit disk’s orientation. Measure the distance between the slit disk and the screen (this serves as the slit-to-screen distance d). Record the position of dark fringes on the screen using a pen or a pencil.Measure the distance ∆y1 between the first-order (m = ±1) minima and record this distance in Tables W1 and W2. Also measure the distance ∆y2 between the second-order (m = ±2) minima and record it in Table W2. Divide the distances between side orders by two (2) to get the distances from the center of the pattern to the first and second order minima (ym = 1 2 ∆ym). Record these values of ym in Tables W1 and W2.The data from the experiment is: Single Slit Diffraction Experiment Data Slit Width, a (mm) Δy_1 (cm) Δy_2 (cm) Δy_3 (cm) 0.02 2.80 0.04 1.00 1.90 0.08 0.45 0.90 1.45 0.16 0.20 0.50 0.70 Source-to-Slit…