Explanation 1) Concept: The de Broglie wavelength is associated with moving particles. It is inversely proportional to the momentum of the particle. 2) Formula: i) λ = h p ii) E = p 2 2 m iii) E = e V 3) Given: The kinetic energy of the electron, alpha particle, and neutron is the same. 4) Calculations: The de Broglie wavelength is given as λ = h p where p is the momentum of the particle. It is related to kinetic energy of the particle as E = p 2 2 m ⟹ p = 2 m E For an electron in electric potential V, the energy E = eV For regions 1 and 2, the electric potential is negative, i

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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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.

10 Figure 38-23 shows an electron moving (a) opposite an elec- tric field, (b) in the same direction as an electric field, (c) in the same direction as a magnetic field, and (d) perpendicular to a magnetic field. For each situation, is the de Broglie wavelength of the electron increasing, decreasing, or remaining the same? (a) (b) (c) (d) Figure 38-23 Question 10.

(A) Calculate the de Broglie wavelength for an electron (me = 9.11 × 10-31 kg) moving at 1.00 × 107 m/s.

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

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