# Discussion2 - (3 An atom can radiate at any time after it...

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Physics 486 Fall 2007 Discussion Problems Week 2 (1). (This is Problem 1.4 in Griffiths) An object is described by the wave function: ψ ( x ) = A x a , if 0 x a , A ( b - x ) ( b - a ) , if a x b , 0, otherwise. where A , a , and b are constants. (a). Sketch the wavefunction ( x ) and the probability density P ( )=| ( )| 2 . (b). Where is the particle most likely to be found? (c). Normalize ( i.e. , find in terms of and ) by requiring that | ( x ) | 2 dx -∞ = 1 . (d). What is the probability of finding the particle at < ?

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Physics 486 Fall 2007 (2). Calculate the de Broglie wavelengths of the following objects under the conditions given: (a). An electron with kinetic energy K = 1 eV. (b). A proton with kinetic energy K = 1 eV. (c). A baseball (m=0.14 kg) with a speed of 100 miles/hr.
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Unformatted text preview: (3). An atom can radiate at any time after it is excited. It is found that in a typical case the average excited atom has a life-time of about 10-8 sec, i.e., during this period, it emits a photon and is deexcited. Answer the following questions below, justifying your answers briefly: (a). What is the minimum uncertainty Δ ν in the frequency of the photon? (b). Most photons from sodium atoms are in two spectral lines at about λ = 5890 A . What is the fractional width of either line, Δ ν / ν . (c). Calculate the uncertainty Δ E in the energy of the excited state of the atom?...
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## This note was uploaded on 09/20/2010 for the course PHYS 486 taught by Professor Staff during the Fall '08 term at University of Illinois, Urbana Champaign.

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Discussion2 - (3 An atom can radiate at any time after it...

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