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quiz01soln

# 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 final 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 . For the first Balmer line n f = 2 and n i = 3. For the first Lyman line n f = 1 and n i = 2. So if the frequency of the first 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. EXERCISE 4 Since λ = h/p , and p = mv , we have v = h/ ( ). Using h = 6 . 6 × 10 - 34 Js, from the textbook gives v = 6 .
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