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B-type electrons are type of electrons that lose energy and fall t0 lower erergy level: During certaln transition the B-type electrons fall from eV to new energy va...

Question

B-type electrons are type of electrons that lose energy and fall t0 lower erergy level: During certaln transition the B-type electrons fall from eV to new energy value of 2.8 ev; What Is the frequency of the photons emitted from this transition:

B-type electrons are type of electrons that lose energy and fall t0 lower erergy level: During certaln transition the B-type electrons fall from eV to new energy value of 2.8 ev; What Is the frequency of the photons emitted from this transition:



Answers

What is the transition rate for the neon atoms in a He-Ne laser if the energy drop for the $632.8 \mathrm{nm}$ emission is $1.96 \mathrm{eV}$ and the power output is $1.0 \mathrm{mW} ?$

In this problem. We have a hard generative which exists in a state having a binding energy off you. 0.85 Conmebol's. So let us say that this state is 105. So I live with a negative sign which denotes a binding energy. Now it makes a transition to another state, which has an energy given by the following fact that energy difference between this level and the ground state his 10 point. Oh, so this is 10 point TV's. Don't we already know that the energy of concert is minus 13 points 16 east. So the energy of the state must be sorry. So the energy off the state must be 3.4 in that guest. So we have our initial electron in the state of 0.85 and it makes the transition to point minus 3.4, and this difference is emitted in the form of a photo. So let's find the energy off the fort on that should be equal to he to minus even. So here this is equal to minus 0.85 subtracted with minus 3.4, and that gives us the total energy is 2.6. So the energy of the four counties to contacts electron volts. Next, we need to find out the higher quantum number and the lower quantum numbers. So we need to find what is tests and what is this one. So in this case, we can call this as the end, too. So it makes the transition from end to end one. Now the energy E to minus even can also be written in the form off into minus and weren't and that is minus 13.6 went over Noah end to square my an ascendant square. And since we already know that this number is 2.6 and to my less and won just distraction comes about 50 White Dew 500.61 with 13.6. And that is roughly equal to negative off three over 16. What we can do this calculation so one or into square minus one away and one square should be negative or what off three or 16? In that case, we get a value off and to check a few values and then to come sequel to four and end when it comes as teeth will dude too. So in that case, This is 1/4 state, and this is a second state where the ground searches denoted by one. So this is the high point of number, and this is the lower one, Remember?

Um today we're going to talk about the transitions off the hydrogen. Adam. So first, let's remember that the empirical expression for the energy levels off the

Okay, so today we're going to talk about the transitions off the hydrogen atoms. So let's remember that the energy off the possible transitions off the hydrogen Adam can be described by the force formula, which is Thea Energy over. Given quantum level, eyes is equal to minus 13.6 electoral votes, divided by the quantum number squared. Okay, so this is important formula that we're going to use a lot today. So bore formula and from core formula, we have that the energy from transitions. It's going to be so Delta E, which is the energy from transitions, is going to be, uh, 13.6 electoral votes times the estate and one squared over the quantum number off the second state squared. So the energy off the transitions Okay, So in this exercise, let's suppose that we know that there exists a particular transition that has energy off 1.80 nine electoral votes. And what do you want to find is what are the quantum numbers and one and and to that return this transit that give us this energy, this energy for the transition. Okay. So what are the quantum states that the Adam must dio in order to have this energy of transition. So what we can basically do is use this expression on, uh, make it equal to the value that the exercise gave us and do some try a land ever to find the values off anyone. And to that, we're going to give us the right answer. So let's try to do this. So you have that 1.89. It has to be equal to 13.6 times one over and one squared my nose one over and two squared. OK, let's try anyone equal to one. That is, the Adam starts from the ground state and and to equal to two. So the atom starts from the ground state and goes to the first excited state. So in this case, we're going to have that 1.89 has to be equal to, uh, 13.6 times one minus 1/4. This is going to be equal to tend electoral votes, which is not the answer that we want. Uh, eso Let's do a second trial. So let's try and well, to the third energetic state so and one, two and three Sorry. Mm. Now, Delta E is going to be equal to 13.6 times one minus 1/9. This is actually closer to 13.6 than the previous answer. So 12 electoral votes. So this is actually worse. So you can see here that what we want to do is now not try to increase and two, because by increasing and two, we're getting further from the answer that we want. That is 1.89. So let's try to change the value off anyone. So the first trial is instead of the ground state. Let's strike the second excited state so and one equals to choose, add and to equal to three. So let's try this transition. Delta E is going to be equal to 13.6 1/4 minus 19 and actually, this gives us the value that we want 1.89 electoral votes. So by trial and error, we find that these are the quantum numbers that we desire

So for this problem, the minimum energy provided to an electoral must be you go through the energy gap. Um, if you divide to total available energy due to the high energy awful Tom, you divide it by the energy gap. You can estimate the maximum number of electrons that can be made. You jump. So this hire you full time has an energy off. Seven 60 Kill election rules while there You got this 0.72 you be the in combination. Gives 1.1 times 10 to the six. No.


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