4-HW Solutions

# 4-HW Solutions - Homework#4 Wave/particle duality Phys320 Spring 2007(Reshchikov p 1 Problem 1 A beam of positrons(positron antielectron travels at

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Homework #4: Wave/particle duality Phys320 – Spring 2007 (Reshchikov) p. 1 Problem 1 A beam of positrons (positron antielectron) travels at 0.001% the speed of light and impinges on a slit that is 1 µ m wide. Use modern units to find the angle θ between the center line and 3 rd minimum of the resulting diffraction pattern. How far away would you locate a detector so that the 3 rd minimum is spaced 20 cm from the center line? () 2- 5 6 11 sin , where = 3, 1000 nm, and 1240 eV nm 242.7 nm / (0.511 10 eV)(10 ) 3 3 242.7 nm sin sin 46.7 1000 nm 20 m tan 19 m tan tan 46.7 na n a hh h c pm v mc v c a yy c Lc L λθ λ θ −− == === = = × × ⎛⎞ = ° ⎜⎟ ⎝⎠ =⇒= = = ° Problem 2 Electrons with E K = 0.5 eV are directed at two narrow slits a distance d apart. If the angle between the central maximum of the resulting interference pattern and the next maximum is to be 3º, what should d be? With E K = 0.5 eV, the electrons have wavelength 26 1240 eV nm 1.735 nm.

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## This homework help was uploaded on 04/22/2008 for the course PHYS 320 taught by Professor Baski during the Spring '04 term at VCU.

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4-HW Solutions - Homework#4 Wave/particle duality Phys320 Spring 2007(Reshchikov p 1 Problem 1 A beam of positrons(positron antielectron travels at

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