Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
9th Edition
ISBN: 9781305266292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 41, Problem 58AP
To determine

The ratio of the probability of an electron arriving at an interference maximum to the probability of an electron arriving at an adjacent interference minimum.

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a) In a double-slit experiment, a stream of electrons with speed v = 10 m/s is aimed at two parallel slits. On the screen one meter behind the slits an interference pattern is observed in the number of electrons arriving at different points on the screen. The distance between the first and the second intensity maxima is 1 cm. Find the distance between the slits.
A beam of electrons, each with the same ki- netic energy, illuminates a pair of slits sepa rated by a distance of 63 nm. The beam forms bright and dark fringes on a screen located a distance 1.1 m beyond the two slits. The arrangement is otherwise identical to that used in the optical two-slit interference experiment. The bright fringes are found to be separated by a distance of 0.1 mm. What is the kinetic energy of the elec- trons in the beam? Planck’s constant is 6.63 × 10^−34 J · s. Answer in units of keV.
The width of the central bright fringe in a diffraction pattern on a screen is identical when either electrons or optical light pass through a single slit. The distance between the screen and the slit is the same in each case and is large compared to the slit width. If the wavelength of the optical light is 589 nm, how fast are the electrons moving? Give your answer in units of m/s, accurate to 2 decimal places.

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Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)

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