Essential University Physics
Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
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Chapter 34.5, Problem 34.5GI
To determine

De Broglie’s matter wave hypothesis explains the quantization of electron orbits in the Bhor atom most fundamentally in terms of what.

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In Bohr's model for hydrogen-like atoms, prove the assumption that theangular momentum should be quantized ( L = nh n =1,2,3... ) using the Broglie wavelength equation.
We have discovered that an electron’s orbit must contain an integer number of de Broglie wavelengths. Explain why, under ordinary conditions, this makes it impossible for electrons to spiral in to merge with the positively charged nucleus.
De Broglie explained the Bohr model of the hydrogen atom by attributing a wavelength > to a particle, with the value of λ coming from the momentum p = mv as λ = h/p. i) Calculate the de Broglie wavelength of a bird (a racing pigeon) that weighs 0.350 kg and flies at 100 km per hour. ii) Equating the centripetal force on an electron orbiting around a proton with the Coulomb force gives the expression v² = e²/(4πomer). Calculate the speed of an electron or- biting at the Bohr radius, B = 0.053 nm. iii) Calculate the momentum and the de Broglie wavelength of an electron moving at the speed you obtain in (ii). iv) Compare the wavelength you obtain in (iii) with the circumference of the orbit. Com- ment on this comparison. Explain briefly what it implies about the possible orbits of the Bohr model and how the higher orbits might be predicted.

Chapter 34 Solutions

Essential University Physics

Ch. 34 - Prob. 5FTDCh. 34 - Prob. 6FTDCh. 34 - Prob. 7FTDCh. 34 - Prob. 8FTDCh. 34 - Prob. 9FTDCh. 34 - Prob. 10FTDCh. 34 - Prob. 11ECh. 34 - The surface temperature of the star Rigel is 104K....Ch. 34 - Prob. 13ECh. 34 - Prob. 14ECh. 34 - Prob. 15ECh. 34 - Prob. 16ECh. 34 - Prob. 17ECh. 34 - Prob. 18ECh. 34 - Prob. 19ECh. 34 - Prob. 20ECh. 34 - Prob. 21ECh. 34 - Prob. 22ECh. 34 - Prob. 23ECh. 34 - Prob. 24ECh. 34 - Prob. 25ECh. 34 - Prob. 26ECh. 34 - Prob. 27ECh. 34 - Prob. 28ECh. 34 - Prob. 29ECh. 34 - Prob. 30ECh. 34 - Prob. 31ECh. 34 - Prob. 32ECh. 34 - Prob. 33ECh. 34 - Prob. 34ECh. 34 - Prob. 35ECh. 34 - Prob. 36ECh. 34 - Prob. 37ECh. 34 - Prob. 38ECh. 34 - Prob. 39ECh. 34 - Prob. 40ECh. 34 - Prob. 41ECh. 34 - Prob. 42PCh. 34 - Prob. 43PCh. 34 - Prob. 44PCh. 34 - Prob. 45PCh. 34 - Prob. 46PCh. 34 - Prob. 47PCh. 34 - Prob. 48PCh. 34 - Prob. 49PCh. 34 - Prob. 50PCh. 34 - Prob. 51PCh. 34 - Prob. 52PCh. 34 - Prob. 53PCh. 34 - Prob. 54PCh. 34 - Prob. 55PCh. 34 - Prob. 56PCh. 34 - Prob. 57PCh. 34 - Prob. 58PCh. 34 - Prob. 59PCh. 34 - Prob. 60PCh. 34 - Prob. 61PCh. 34 - Prob. 62PCh. 34 - Prob. 63PCh. 34 - Prob. 64PCh. 34 - Prob. 65PCh. 34 - Prob. 66PCh. 34 - Prob. 67PCh. 34 - Prob. 68PCh. 34 - Prob. 69PCh. 34 - Prob. 70PCh. 34 - Prob. 71PCh. 34 - Prob. 72PCh. 34 - Prob. 73PCh. 34 - Prob. 74PCh. 34 - Prob. 75PCh. 34 - Prob. 76PCh. 34 - Prob. 77PCh. 34 - Prob. 78PCh. 34 - Prob. 79PCh. 34 - Prob. 80PCh. 34 - Prob. 81PCh. 34 - Prob. 82PPCh. 34 - Prob. 83PPCh. 34 - Prob. 84PPCh. 34 - Prob. 85PP
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