Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 14.1, Problem 1cT
Suppose that a single change were made to the apparatus (keeping the distance between the mask and the screen fixed), resulting in the new pattern shown.
1. Are the angles to the interference maxima in the new pattern greater than, less than, or equal to those in the original pattern? Explain how you can tell from the photographs.
2. If the
3. If the slit separation (d) was the only quantity changed, determine (i) whether d was increased or decreased, and (ii) whether it was changed by a factor that was greater than, less than, or equal to 2. Explain how you can use your results from parts A and B to justify your answer.
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A simple cubic crystal is illuminated with X- ray of wavelength 0.09 nm at a glance angle.
The crystal is rotated and the angles at which Bragg reflection occurs are measured.
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Which set of crystal plane will give the smallest angle for first - order reflection?
Explain in details your answer.
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Explain the topic belows.
General Conditions for Interference
For sustained interference of light to occur, the following conditions must be met:
1. Coherent sources of light are needed.
2. Amplitudes and intensities must be nearly equal to produce sufficient
contrast between maxima and minima.
3. The source must be small enough to produce wide fringes.
4. The interfering sources must be near enough to produce wide fringes.
5. The source and screen must be far enough to produce wide fringes.
6. The source must emit light in the same state of polarization.
7. The source must be monochromatic.
What type of diffraction grating should I use so that when sunlight falls on it, I will get all the colors of the rainbow with maximum separation? Give your answer in lines/cm. The visible spectrum goes from 380 nm to 750 nm
Sketch the situation, defining all your variables.
What physics equation(s) will you utilize in order to solve this problem? For each equation you list, give a justification for why it applies to this situation.
Apply your equation(s) to solve, first for an algebraic expression(s), then for any numerical answer(s). Show the units of your answer(s), and how you got them.
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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- State one feature by which the phenomenon of interference can be distinguished from that of diffraction. A parallel beam of light of wavelength 600 nm is incident normally on a slit of width ‘a’. If the distance between the slits and the screen is 0.8 m and the distance of 2nd order maximum from the centre of the screen is. 15 mm, calculate the width of the slit.arrow_forwardSuppose that waves travel 1.5x as fast within the triangular object than in the surrounding medium. Continue the incident ray until it emerges through the triangular medium on the other side. Please draw the surface normal, the weak reflection, as well as the "would have" line for each interface as shown in class. and label all angles. Incident ray Faster, medium II Medium Iarrow_forwardMonochromatic light strikes a diffraction grating at normal incidence before illuminating a screen 2.30 m away. Part A If the first-order maxima are separated by 1.63 m on the screen, what is the distance between the two second-order maxima? Express your answer to three significant figures. IVE] ΑΣΦ y2 = Sw ? marrow_forward
- First-order Bragg diffraction is observed at 26.0° relative to the crystal surface, with spacing between atoms of 0.23 nm. Part A At what angle will second order be observed? Express your answer using three significant figures. VO AZ ? Submit Request Answer Part B What is the wavelength of the X-rays? Express your answer using two significant figures. ? 1 =arrow_forwardState the two features to distinguish between interference and diffraction phenomena. Two wavelengths of light 600 nm and 610 nm are used in turn, to study the diffraction at a single slit of size 2 mm. The distance between the slits and screen is 2 m. Calculate the separation between the positions of the second order maximum of the diffraction pattern obtained in the two cases.arrow_forward2. Variations in the Interference Pattern The graph of intensity versus below corresponds to a double-slit experiment similar to the one described in problem 1. ww 0 In each part below, suppose that a single change were made to the original apparatus. Use the diagram below to show how the graph of intensity versus would be different from the original graph (shown dashed). In each case, explain your reasoning. w 0 0 a. the distance between the centers of the slits is increased (without changing the width of the slits) b. the wavelength of the incident light is increased c. the distance from the mask to the screen is decreased d. the width of both slits is decreased (without changing the distance between the centers of the slits)arrow_forward
- Light of wavelength 570 nm illuminates a diffraction grating. The second-order maximum is at angle 38.5°. Part A How many lines per millimeter does this grating have? Express your answer using three significant figures. ? N = lines per millimeter Submit Request Answerarrow_forwardWrite a short note on: Interference from parallel thin films(also add derivation) Use diagrams/ray diagrams wherever necessary.arrow_forwardLight is incident from air onto a gas slick sitting on water. Determine the minimum thickness of gas required to produce constructive interference for orange light with a wavelength of 5.9 x 10^7 m. Show all your work please.arrow_forward
- In Young's two-slit experiment, the first dark fringe above the central bright fringe occurs at an angle of 0.51 ° Part A What is the ratio of the slit separation, d, to the wavelength of the light, X? Express your answer using two significant figures. 15. ΑΣΦ ? parrow_forwardUse the worked example above to help you solve this problem. If the spacing between certain planes in a crystal of calcite (CaCO3) is 0.313 nm, find the grazing angles at which first- and third-order interference will occur for x-rays of wavelength 0.0709 nm. 0₁ 02 Oarrow_forward(Figure 1) shows the light intensity on a screen 2.5 m behind a double slit. The wavelength of the light is 512 nm Part A What is the spacing between the slits? Express your answer to two significant figures and include the appropriate units. HÀ ? d = Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; 9 attempts remaining < Return to Assignment Provide Feedback Figure <) 1 of 1 cm 1' 3' 4arrow_forward
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