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This energy diagram shows the allowed energy levels of an electron in a certain atom or molecule:energyUse this diagram to complete the table below.Which is the gro...

Question

This energy diagram shows the allowed energy levels of an electron in a certain atom or molecule:energyUse this diagram to complete the table below.Which is the ground state?(pick one)How many excited states are there?How many lines are in the absorption line spectrum?Which transition causes the absorption line at the shortest wavelength?Which transition causes the absorption line at the longest wavelength?X

This energy diagram shows the allowed energy levels of an electron in a certain atom or molecule: energy Use this diagram to complete the table below. Which is the ground state? (pick one) How many excited states are there? How many lines are in the absorption line spectrum? Which transition causes the absorption line at the shortest wavelength? Which transition causes the absorption line at the longest wavelength? X



Answers

Shows the energy-level diagram for a finite, one-dimensional energy well that contains an electron. The nonquantized region begins at $E_{4}=450.0 \mathrm{eV}$. Figure $39-28 b$ gives the absorption spectrum of the electron when it is in the ground state-it can absorb at the indicated wavelengths: $\lambda_{a}=14.588 \mathrm{~nm}$ and $\lambda_{b}=4.8437 \mathrm{~nm}$ and for any wavelength less than $\lambda_{c}=2.9108$ $\mathrm{nm}$. What is the energy of the first excited state?

Hello students in this question, the given diagram shows the energy level of the atoms. So when the system moves from e. Energy level to the level the photon of wavelength lambda is omitted. Okay, so we can right here that the energy final uh minus energy initial because linda is being emitted. So energy initial minus energy final. This is equal to at symbol lambda. So to E minus E. This becomes at sea Belinda and to I minus E. Z. Equals two. He So suppose this is a situation number one. Now we have to find the wavelength of the photon imitate lambda dash when the transition is from four A by 32 E. Okay so applying the situation again so we will get that four E by three. That is E initial minus E. Final. That is E. This is equal to at sea by lambda dish. So after solving this becomes E by three and E. From here is at sea Belinda. So we can right here that at sea by lambda Desh, this is equal to one by three months at sea by lambda. So this at sea will be cancelled out. So we get from here lambda dish, this is equal to three times of lambda. So from the given options, option A. It is the correct answer for this question. Okay, thank you.

The question we are given that electron transition is taking place from the energy level to E. To energy level. E. This is energy level. E. And another energy level we have here for E by three. And electron transition is taking place from this energy level to the E energy level. Now difference in energy level, difference in energy level delta A. Is equal to add sea by lambda. So now for the first transition transition from transition from to E level two E level. That means change in energy will be to e minus E. That will be at sea by lambda. So from here, I can say that lambda will be equal to at sea by E. Let's suppose this execution first. Now for the second transition for second transition, that means transition from four E By 3, 2 e. So changing energy will be four E by three minus E. That will be equal to etc. By lambda. Let's suppose now the violence is lambda one. So that will be E by three is equal to X. C. By lambda one. So this implies lambda one. Lambda one will be equal to three, etc. By E. Three, etc. By E. From a question first weekend, right? That lambda is equal to etc. By E. So it will be three lambda option day is going to be the right answer

Use an expression easy cool toe HC over London to calculate the energies. This will be it. See constant physical to 12. 40. Electron world nanometer divided by Linda The energy is associated with the Lambda A will be e a physical to HC Divide by lamb Day Some student your values, we get 85 electron world here. Hey, Really? For Lambda B, we get E being physical to etc or Linda B. That is a 256 electron world and e c will be it see divided by Lambda. See, that is 4 to 6 of a fallen world the ground state energy easily once the one is Ah he four minus P C. That is 4 50 electron Walt minus for 26 of a fallen world. This will give us 24 electron world Since he a is equal to e to minus the one the energy Your first excited state is he to be equal to one plus e a. So this will be 24 on the throne world lost 85 electron world. This will give us 109 a drone. Walt

30.78. So we have four energy levels for an Adam in this sort of drawing here. And so we want to do is figure out how many spectral lines they're going to result from all possible transitions among these levels. And then which of those transitions corresponds to the highest in which to the lowest treatments is So any time we have a pair of energy levels, we can have a transition between them. So we just figure out how many heirs we have out of former treating just do by drawing things here. So there's one for many between n equals one and n equals two and another one toe and equals three. Another one n equals four. And so this is all of the transitions involving an equals one. Now you can have one from n equals Tuta and equals three and from n equals 22 and equals four, 1 to 2 we already covered. And so these air the remaining two that you can have from n equals two and then n equals three go to n equals four and n equals three. Going to n equals two or one has already been covered, and then it equals. Four can either go toe 12 or three, and 32 and one have already covered. So we just count the number of lines we've drawn. 123 456 So they're six transitions with their corresponding spectral lines. Now the change in energy from higher, higher state to a lower state is going to be the energy of the photons emitted because that's where the energy goes. And we know that for photons, their energy is equal toe Planck's constant times the frequency of the proton. So the highest frequency is going to correspond to the largest change in energy. The largest change in energy we can see is from n equals four toe and equals one. And similarly, the lowest frequency is going to correspond to the smallest change in energy. And these get more closely spaced together as you go up. And so four and three are the closest together, and so that's going to be an equals four. Tow n equals three to give you the lowest frequency of light that's emitted


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