quiz01soln - 1 Physics 316 Cornell University Solution for...

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1 Physics 316 Solution for quiz 1 Spring 2005 Cornell University Steve Drasco I. EXERCISE 1 We know from Wein’s displacement law that ν max T . Therefore T T/ 3 means that ν max ν max / 3 = 117 THz. We know from Stefan’s law that P T 4 . Therefore T T/ 3 means that P P/ 81 = 12 . 3 W. II. EXERCISE 2 We will use conservation of energy. The total initial energy is only the kinetic energy of the electron E i = K e . The total Fnal energy is that of the photon plus the potential energy of the now bound electron E f = max - W . Equating E i and E f gives ν max = ( K e + W ) /h . III. EXERCISE 3 A photon emitted after a change from level n i to n f has energy n - 2 f - n - 2 i . ±or the Frst Balmer line n f = 2 and n i = 3. ±or the Frst Lyman line n f = 1 and n i = 2. So if the frequency of the Frst Lyman line is ν L then L B = 1 - 1 / 4 1 / 4 - 1 / 9 = 3 / 4 9 / 36 - 4 / 36 = 3 4 36 5 = 27 5 , (3.1) which means that ν L = (27 / 5) ν B = 2470 THz. IV.
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This note was uploaded on 09/28/2008 for the course PHYS 316 taught by Professor Hoffstaetter during the Spring '05 term at Cornell University (Engineering School).

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