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1.a. Show how the de Broglie hypothesis for the wavelength of an electron can lead to an explanation of the condition for quantization of orbital angular momentum in the Bohr model for hydrogen atom.
b. Show that the frequency of the radiation emitted by an electron in the hydrogen atom when it makes transition from the n+1 state to the n state given by:
f(n, n+1) = mk2e4 (2n+1) / 4Πh3 n2(n+1)2 where k is the Coulomb constant, and m and e are the mass and charge of the electron, respectively.
c. Show that for a very large n, the above frequency becomes equal to the orbital frequency of the electron. What principle does this result illustrate?
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If 70% of a radioactive sample has decayed in 5.0 x 103 years, what is the decay constant of the material
A moon orbits a planet because of the gravitational force between them. Similarly, each body also experiences a tidal force due to gravity. Consider how the magnitude of the tidal force changes as distance between a planet and moon varies.
Calculate the Q-value of the alpha decay of 211Po. It was found that 211Po can follow an alpha decay to an meta state. The alpha energy in this decay is 7.275 MeV
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You pull a 12 kg sled across the floor with a strap that is at an angle of 31° above the horizontal with a force 76 N. Determine the magnitude of the acceleration of the sled, given that the coefficient of kinetic friction between the suitcase an..
What is one experiment you could to show light is a particle. Clearly delineate how the results show it is a particle, and do not fit with the expectations of the experiment if it was a wave.
A very long wire is held under tension by suspending weights from an end that passes over a pulley. What is the speed of the traveling speed
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