Explanation 1) Concept: According to the concept of the barrier tunneling, the particle has a finite probability of tunneling through a barrier and appearing on the other side unchanged. The probability that a given particle of mass m and energy E will tunnel through a barrier of height U b and thickness L , transmission coefficient T is given by the equation 38 - 38 . 2) Formula: i) T = e - 2 b L ii) b = 8 π 2 m U b - E h 2 3) Given: i) U b = 6.0 e V ii) L = 0.70 n m iii) T = 0.0010 4) Calculations: The transmission coefficient T for a particle of mass m and energy E that is incident on height U b and width L is given by T = e - 2 b L We know that b = 8 π 2 m U b - E h Rearranging the equation, b h = 8 π 2 m U b - E b h 2 8 π 2 m = U b - E E = U b - b h 2 8 π 2 m … … … … … … … … … … … … … … … … … … … … … … … … … … … … … 1 Now from the equation of transmission coefficient, we can find the value of b

Fundamentals Of Physics 11th Edition Loose-leaf Print Companion Volume 2 With Wileyplus Card Set

11th Edition

ISBN: 9781119463252

Author: David Halliday

Publisher: John Wiley and Sons

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de Broglie Equation

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Chapter 38, Problem 74P

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The energy of an incident electron

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Chapter 38, Problem 73P

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16 For three experiments, Fig. 38-25 gives the transmission coefficient T for electron tunneling through a po- tential barrier, plotted versus barrier thickness L. The de Broglie wave- lengths of the electrons are identical in the three experiments. The only difference in the physical setups is the barrier heights U. Rank the three experiments according to U, greatest first. T: Figure 38-25 Question 16.

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Chapter 38 Solutions

Fundamentals Of Physics 11th Edition Loose-leaf Print Companion Volume 2 With Wileyplus Card Set

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The energy of an incident electron

Solution Summary: The author explains that the energy of an incident electron is E=5.1eV and the transmission coefficient T is given by the equation 38-38.

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To find: The energy of an incident electron

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Chapter 38 Solutions

To find:

The energy of an incident electron