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A LiBr molecule oscillates with a frequency of $1.7 \times 10^{13}$ Hz. (a) What is the difference in energy in eV between allowed oscillator states? (b) What is the approximate value of $n$ for a state having an energy of 1.0 ev?
a) 0.07 $\mathrm{eV}$b) 14
Physics 103
Chapter 29
Introduction to Quantum Physics
Quantum Physics
University of Washington
Hope College
University of Sheffield
McMaster University
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in this problem, where Asa cock a difference and energy and electron volts between allowed oscillator states and then calculate the approximate value of end for having an energy of one electron volts. So to find the difference in the energy, you need to multiply planks Constant, which is represented by an h times the frequency which is given to us in the problem as 1.7 times tended the 13 so plans Constant comes in different values, but the one we're going to use here it's 4.14 times 10 to the negative 15 because it's asking for our final answer in electron volts, and our frequency is given as 1.7 times 10 to the 13th. And when you've multiplied those two values, then you get 0.7 electron volts and then to solve for the approximate value of N well. That could be determined using E equals and plus 1/2 where and is our unknown value here. And that's what we're trying to solve for times, planks, constant times frequency so we can get and by itself, by dividing bye plagues constant frequency and then subtracting in a 1/2 so that our final equation looks like e divided by planks. Constant times frequency minus 1/2 gives us an approximate value for it. And we want our energy in this case to be one electron volts. So again, one electron volts planks, constant frequency minus 1/2 gives us an N value of 13.7, which is approximately equal, so 14.
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