In a interference experiment when minimum intensity is obtained, the phase difference between the superimposing waves is (n = 1, 2, 3...) %3D (a) (b) (2n – 1) T (c) (d) (n + 1) T

In a laboratory, light from a particular spectrum line ofhelium passes through a diffraction grating and the second-order maximumis at 18.9 from the center of the central bright fringe. The samegrating is then used for light from a distant galaxy that is moving awayfrom the earth with a speed of 2.65 * 10^7 m>s. For the light from thegalaxy, what is the angular location of the second-order maximum forthe same spectral line as was observed in the lab?

You measure the distance between the finges of a diffraction pattern as follows: Distance (mm): 3.01, 3.27, 3.28 You measure the distance eight additional times to obtain the following ten values: Distance (mm): 3.01, 3.27, 3.28, 3.31, 3.16, 3.17, 3.15, 3.25, 3.18, 1.46 What values for the distance and uncertainty would you report using the first three measurements and the entire set of ten measurements? Group of answer choices First three: (3.22 ± 0.03) mm, All ten: (3.22 ± 0.02) mm First three: (3.19 ± 0.09) mm, All ten: (3.0 ± 0.2) mm First three: (3.186667 ± 0.07216237) mm, All ten: (3.201000 ± 0.02613236) mm First three: (3.216667 ± 0.02880329) mm, All ten: (3.216000 ± 0.02379916) mm First three: (3.240000 ± 0.04082483) mm, All ten: (3.217000 ± 0.02702036) mm First three: (3.24 ± 0.04) mm, All ten: (3.22 ± 0.03) mm

Y(x, t) = y(x)e-it = (Aeikx + Be-ikx) e-iant = Aei(kx-ot) + Be-i(kx+at), (38-25) 13 In Eq. 38-25 keep both terms, putting A = B = yo. The equa- tion then describes the superposition of two matter waves of equal amplitude, traveling in opposite directions. (Recall that this is the condition for a standing wave.) (a) Show that P(x, t)2 is then given by (x, t)² = 2y[1 + cos 2kx]. (b) Plot this function, and demonstrate that it describes the square of the amplitude of a standing matter wave. (c) Show that the nodes of this standing wave are located at where n = 0, 1, 2, 3, ... 1) (1/₁). x = (2n + 1) and is the de Broglie wavelength of the particle. (d) Write a simi- lar expression for the most probable locations of the particle.

X-rays of wavelength 0.200 nm are reflected from a certain crystal, and the first-order maximum occurs at an angle of 14.6°. What value does this give for the interplanar spacing of the crystal? answer in nm

e y. 47. For wavelengths greater than about 20 cm, the disper- sion relation for waves on the surface of water is

PROBLEM For a given x-ray diffraction test (n = 1) on a cubic crystal structure, the recorded diffraction peaks (20) were 24.09°, 34.33°, 42.37°, 49.33°, 55.62°, and 61.48°. The x-ray wavelength used in the test was 0.15418 nm. For this test, determine the crystal structure of the element, the lattice constant, and identify the element.

Potassium iodide has an interplanar spacing of d = 0.296 nm. A monochromatic X-ray beam shows a first-order diffraction maximum when the grazing angle is 8.0°. Calculate the X-ray wavelength A. λ = nm Need Help? Read It Master It

Young's experimental setup can be used to monitor the width of the lead wires in transistors. The cables are placed in a narrow opening as shown in the figure. The opening is illuminated with highly coherent light. The position of the tenth maximum is measured on a screen located at 0.5m. The expected diameter of the wires is 0.100±0.005 mm. (a) What is the maximum deviation that the position of the tenth maximum can have so that the cable has an acceptable diameter? What would happen if the first maximum was used as the criterion, would the decision be easier or more difficult?

3. A Cu target emits an X-ray line of wavelength = 1.54 Å. a) Given that the Bragg angle for reflection from the (111) planes in Al is 19.2°, compute the interplanar distance for these planes. Recall that aluminum has an fcc structure. b) Knowing that the density and atomic weight of Al are, respectively, 2.7 g/cm3 and 27.0, compute the value of Avogadro's number.