classes%5Cfall07%5C20A-1ID12%5CMicrosoftWord-20A-1_practice_2nd_hour-test

# Classes%5Cfall07%5C20A-1ID12%5CMicrosoftWord-20A-1_practice_2nd_hour-test

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1 PRACTICE PROBLEMS FOR 2 nd HOUR-TEST, 20A-1, FALL 07 1. Suppose we shine light of a certain frequency on a hydrogen atom whose electron is in its next-to-lowest (n=2) energy state and we observe that the electron is ejected with a kinetic energy of 3.0 ev. What was the frequency of the light? 2. Now consider a different hydrogen atom, whose electron is excited to one of the n=4 states. What are the emission frequencies you should expect to observe as this atom undergoes transitions to lower energy states? 3. Consider still another hydrogen atom, whose electron is in the lowest (“ground”, n = 1) state, described by the wavefunction ψ 1 s ( r ) = 1 π a o 3 1/ 2 e - r / a o . (a) What is the probability of finding the electron in a small volume – of 1.0 pm 3 – at each of the following three points, specified by their spherical coordinates? ( r , ϑ , ϕ ) = (100 pm , π 2 ,0); ( r , ϑ , ϕ ) = (100 pm , π 2 , π 2 ); and ( r , ϑ , ϕ ) = (200 pm , π 2 , π 2 ) .

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