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What wavelength lambda should the astrophysicist look for to detect a transition of an electron from the n equals 7 to the n equals 3 level?
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∙ 11y ago
1005 m
Wiki User
∙ 11y ago
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What wavelength should the astrophysicist look for to detect a transition of an electron from the n equals 7 to the n equals 3 level?
, Use Rydberg's Equation to solve for this problem, which is as follows: 1/wavelength = R((1/n2x )-(1/ny2 )) Where R is Rydberg's constant, 1.0974 * 107 m-1 And where nx is the lower energy state (n=1), and ny is the higher energy state (n=3). So, plugging in those values gives us the following calculations to be made: 1/(12)=1, and 1/(32)= 1/9, so (1) - (1/9) = 8/9. So, we get: 1/wavelength = (1.0974* 107 m-1)(8/9) = 1/wavelength = (.9754666667 m-1) = wavelength = 1/(.9754666667 m-1) = Wavelength = 1.025150355 * 10-7 m And, since wavelength is typically given in nanometers (1 nm = 1 * 10-9 m) when looking at hydrogren emission spectra, convert the 10-7to 10-9 by moving the decimal back two more places. So, The wavelength expected for light composed of photons produced by an n=3 to n=1 transition in a hydrogen atom is: 102.5150355 nm or, to three significant figures, 103 nm Hope I helped! I am an engineering student at the University of Arizona.
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