By Tipler
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Additional info for Wave-Particle Duality and Quantum Theory
Sample text
B) If the wavelength is 650 nm, find the number of photons per second that strike a surface of area 1 cm2 oriented so that the line to the bulb is perpendicular to the surface. 8 eV. 5 eV. Find the work function of the cathode material. 78 •• A photon of energy E is scattered at an angle of . Show that the energy EЈ of the scattered photon is given by EЈ ϭ E (E͞mec2)(1 Ϫ cos ) ϩ 1 79 •• A particle is confined to a one-dimensional box. 6 nm is emitted. 2 eV. Determine n. 4 eV. 7 nm it makes a transition to an excited state.
Show that the energy EЈ of the scattered photon is given by EЈ ϭ E (E͞mec2)(1 Ϫ cos ) ϩ 1 79 •• A particle is confined to a one-dimensional box. 6 nm is emitted. 2 eV. Determine n. 4 eV. 7 nm it makes a transition to an excited state. 9 nm. What is the quantum number of the state to which the particle has decayed? 2 eV. 7 eV. Determine the work function of the surface and the wavelength . 3 kg. The energy of this oscillator is quantized to the values En ϭ (n ϩ 12 )hf0, where n is an integer and f0 is the frequency of the pendulum.
63 •• A six-sided die has the number 1 painted on three sides and the number 2 painted on the other three sides. (a) What is the probability of a 1 coming up when the die is thrown? (b) What is the expectation value of the number that comes up when the die is thrown? 64 54 •• A particle in a one-dimensional box is in the first excited state (n ϭ 2). (a) Sketch (x) versus x for this state. (b) What is the expectation value ͳxʹ for this state? (c) What is the probability of finding the particle in some small region dx centered at x ϭ 12 L?
Wave-Particle Duality and Quantum Theory by Tipler
by James
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