Chapter 41: The Wave Nature of Particles. 41-2: de Broglie Waves. Louis-Victor de Broglie (1892-1987). 1924: predicts wave nature of particles Photons have wave/particle nature Symmetry suggests particles should have wave nature
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41-2: de Broglie Waves
m = 80 kg
v = 9 m/sec
There is a student who is chasing a school bus. She is going as fast as she can to catch the bus, and the bus is stopping to let her catch up. Given that the mass of the person is 70 kg, her speed is 2 m/sec, the mass of the bus is 3,000 kg, and the speed of the bus is 0.1 m/sec,
(a) what is the de Broglie wavelength of the person?
(b) What is the de Broglie wavelength of the bus?
(c)Which one is bigger?
(d)What should change if their de Broglie wavelengths are the same? Make the necessary change!
(N.B. the person is running as fast as she can!)
m = 70 kg
v = 2 m/sec
m = 3,000 kg
v = 0.1 m/sec
The person’s de Broglie wavelength is bigger than the de Broglie wavelength of the bus!
The more massive an object is, the smaller its de Broglie wavelength.
Since the person is running as fast as she can, the bus must go slower to get their wavelengths to be the same. How fast should the bus be going?