PHYSICS FOR SCIEN & ENGNR W/MOD MAST
4th Edition
ISBN: 9780134112039
Author: GIANCOLI
Publisher: PEARSON
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Question
Chapter 38, Problem 18P
(a)
To determine
The wavelength of the electron.
(b)
To determine
The momentum of the electron.
(c)
To determine
The speed of the electron.
(d)
To determine
The kinetic energy of the electron.
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Students have asked these similar questions
(I) Suppose the wave function for an electron at time t = 0 is given by (x,0) = /2/L sin(57x/L).
Which one of the following is the wave function at time t?
(a) p(x, t) =
Vž sin(57x/L) cos(Est/h)
(b) p(x, t) =
Vž sin(57x/L)e-iEst/h
(c) Both (a) and (b) above are appropriate ways to write the wave function.
(d) None of the above.
(II) The wave function for an electron at timet =0 is given by (x,0) = /? sin(57x/L). Which one of
the following is true about the probability density, |p(x, t)², after time t?
(a) [h(x, t)* = { sin²(57x/L) cos²(Est/h).
(b) |Þ(x, t)P = Z sin?(57x/L)e¬i2Est/h.
(c) |Þ(x,t)[² = } sin (57x/L) which is time-independent.
(d) None of the above.
4
Notation:
(i) A vector is denoted by a bold letter, e.g., E(1) is a time-dependent vector.
(ii) A unit vector is identified by a ^ sign, e.g., â, is a unit vector along the z-axis.
Physical constants:
Planck's constant, h = 6.626 × 10-34 m² kg s-I
Boltzmann's constant, k = 1.38 × 10-23 m² kg s-² K-'
Speed of light in vacuum, c = 3 × 10% m s-!
Permittivity of vacuum, & = 8.854 × 10-12 F/m
Permeability of vacuum, flo=4r × 10-’ H/m
Electron charge, q = 1.602 ×10-19 C
EEE/ELEC2347/
page 2 of 6
1.
(a) As shown in Fig. la, the object and the screen is separated by l = 100cm. When we put a
convex lens in the middle point between the object and the screen, a clear image is formed
on the screen. What is the focal length of the lens? You may use either ABCD matrix or other
methods.
100cm
Fig. la
(b)
(i) Calculate the de Broglie wavelength of an electron having a mass
of 9.11 x 1031 kg and a charge of 1.602 x 10-19 J with a Kinetic
energy of 135 eV. The value of the Planck's constant is equal to
6.63 * 10-34 Js.
(ii) Assume that an electron is moving along the x-axis with a speed
of 3.66 x 106 m/s and with a precision of 0.50%. Calculate the
minimum uncertainty (as allowed by the uncertainty principle in
quantum theory) with which the position of the electron along the
X-axis simultaneously can be measured with the speed?
Chapter 38 Solutions
PHYSICS FOR SCIEN & ENGNR W/MOD MAST
Ch. 38.3 - Prob. 1AECh. 38.8 - Prob. 1BECh. 38.8 - Prob. 1CECh. 38.9 - Prob. 1DECh. 38 - Prob. 1QCh. 38 - Prob. 2QCh. 38 - Prob. 3QCh. 38 - Prob. 4QCh. 38 - Would it ever be possible to balance a very sharp...Ch. 38 - Prob. 6Q
Ch. 38 - Prob. 7QCh. 38 - Prob. 8QCh. 38 - Prob. 9QCh. 38 - Prob. 10QCh. 38 - Prob. 11QCh. 38 - Prob. 12QCh. 38 - Prob. 13QCh. 38 - Prob. 14QCh. 38 - Prob. 15QCh. 38 - Prob. 16QCh. 38 - Prob. 17QCh. 38 - Prob. 18QCh. 38 - Prob. 1PCh. 38 - Prob. 2PCh. 38 - Prob. 3PCh. 38 - Prob. 4PCh. 38 - Prob. 5PCh. 38 - Prob. 6PCh. 38 - Prob. 7PCh. 38 - Prob. 8PCh. 38 - Prob. 9PCh. 38 - Prob. 10PCh. 38 - Prob. 11PCh. 38 - Prob. 12PCh. 38 - Prob. 13PCh. 38 - Prob. 14PCh. 38 - Prob. 15PCh. 38 - Prob. 16PCh. 38 - Prob. 17PCh. 38 - Prob. 18PCh. 38 - Prob. 19PCh. 38 - Prob. 20PCh. 38 - Prob. 21PCh. 38 - Prob. 22PCh. 38 - Prob. 23PCh. 38 - Prob. 24PCh. 38 - Prob. 25PCh. 38 - Prob. 26PCh. 38 - Prob. 27PCh. 38 - Prob. 28PCh. 38 - Prob. 29PCh. 38 - Prob. 30PCh. 38 - Prob. 31PCh. 38 - Prob. 32PCh. 38 - Prob. 33PCh. 38 - Prob. 34PCh. 38 - Prob. 35PCh. 38 - Prob. 36PCh. 38 - Prob. 37PCh. 38 - Prob. 38PCh. 38 - Prob. 39PCh. 38 - Prob. 40PCh. 38 - Prob. 41PCh. 38 - Prob. 42PCh. 38 - Prob. 43PCh. 38 - Prob. 44PCh. 38 - Prob. 45PCh. 38 - Prob. 46GPCh. 38 - Prob. 47GPCh. 38 - Prob. 48GPCh. 38 - Prob. 49GPCh. 38 - Prob. 50GPCh. 38 - Prob. 51GPCh. 38 - Prob. 52GPCh. 38 - Prob. 53GPCh. 38 - Prob. 54GPCh. 38 - Prob. 55GPCh. 38 - Prob. 56GPCh. 38 - Prob. 57GPCh. 38 - Prob. 58GPCh. 38 - Prob. 59GP
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