Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 38, Problem 8P

(a)

To determine

The wavelength of 12g bullet which has a speed of 180m/s.

(b)

To determine

The minimum uncertainty of bullet in the vertical momentum.

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The velocity of a neutron is measured to be 6.0 x 106 m s-1 with an uncertainty of 1.0 × 103 m s-1. (i) What is the minimum uncertainty of the simultaneous measurement of the position of the neutron? (ii) State how the minimum uncertainties of a measured energy and a measured time are related
A 12-g bullet leaves a rifle at a speed of 150 m/s (a) What is the wavelength of this bullet? (b) If the position of the bullet is known to a precision of 0.60 cm (radius of the barrel), what is the minimum uncertainty in its momentum?
(10) i) Use the quantum mechanical kinetic energy operator T, = to find the kinetic energy of the first 2m dx? excited state of the Particle in a Box (with n = 2). ii) Then, use the relationship of kinetic energy and momentum (KE = p?/2m) to find an equation for the de Broglie wavelength of the particle in a one-dimensional box as a function only of the box length L and quantum number n. iii) Sketch the wavefunction in the box to verify that the expression you obtained in part ii) is correct.

Chapter 38 Solutions

Physics for Scientists and Engineers with Modern Physics

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