Conversation started Feb 17, 2020 at 9:28.
Feb 17, 2020 09:28
@JohnRennie Hello :-)
@JohnRennie I wanted to discuss with you the process of firing electrons on metal plates and the consequent ejection of X-rays
@Jasmine OK. As in an X-ray tube presumably?
@JohnRennie Yes
I dont understand what exactly is happening
I have a question as well
Should I share it first
Yes, let's have a look at the question.
An X-Ray tube is operated at 150Kv at 10mA . if only 1% of electric power supplied is converted into X-Ray ,the rate at which the target is hitted is (in Cal/s
I dont understand exactly is done in the experiment
OK. What happens is that high energy electrons are fired at the metal target and they collide with electrons in the metal atoms and eject them. So you are left with metal ions with a hole where their electron used to be. OK so far?
Feb 17, 2020 09:40
@JohnRennie okay
Any electron can be ejected, but what is of interest here is when an electron is ejected from the 1s orbital. For historical reasons the 1s is known as a the K shell, so you'll often see these described a K electrons.
When this happens an electron drops down from the 2s orbital into the 1s orbital, and the energy difference is emitted as a photon.
So the end result is that we get a photon emitted with an energy equal to the 2s -> 1s transition.
Okay
8 mins ago, by Jasmine
An X-Ray tube is operated at 150Kv at 10mA . if only 1% of electric power supplied is converted into X-Ray ,the rate at which the target is hitted is (in Cal/s
So in your question 1% of the electrons eject a K electron and cause an X-ray photon to be emitted.
What exactly is happening here
@JohnRennie or can be an L electron
@Jasmine yes, although the L peak is usually lower amplitude and often absent. But I don't think it matters for this question.
Feb 17, 2020 09:46
@JohnRennie yes
We are told the tube is operated at 10mA, and I assume this means the beam current is 10mA. That means 0.01 coulombs per second hit the metal. Divide 0.01 coulombs by the electron charge and you have the number of electrons per second hitting the target.
I make this $6.24 \times 10^{16}$ electrons per second.
So is it like only 1% electrons are ejecting X-rays and what about 99% are they completing the circuit
So is it like the current due to 99% electrons = 10mA
The other 99% either go straight through the metal target without hitting anything, or they lose their energy in mutliple low energy collisions that don't emit an X-ray.
@JohnRennie Ok
Anyhow, if only 1% of electrons produce an X-ray that's $6.24 \times 10^{14}$ photons per second.
Feb 17, 2020 09:51
Then 10mA is due to flow of which elctrons
A current is the flow of electrons. Normally we have electrons flowing in a wire, but if you have electrons travelling through a vacuum then that is a current as well.
In an X-ray tube electrons are emitted at one end then accelerated towards the metal target, where their collisions with the metal emit X-rays. So there is a current flowing along the tube due to the electrons travelling from the end of the tube along the tube to the metal.
@JohnRennie Can you draw a diagram please
Let me see if I can Google one ...
The electrons are emitted at the cathode and they travel through the vacuum inside the X-ray tube and hit the metal target (the tungsten target in this case).
@JohnRennie where is the external battery and current
@JohnRennie okay so the current is due to the fired electrons going to collide
And the battery is to accelerate the electrons
The external circuit looks like this. The battery is very high voltage. 150kV in this case.
The electrons flow in the direction shown by the blue arrows.
Feb 17, 2020 09:58
8 mins ago, by Jasmine
So is it like the current due to 99% electrons = 10mA
The current shown by the blue arrows is the 10mA current.
@JohnRennie but isnt 1% wasted as X-ray
@Jasmine no, the electrons don't disappear if they collide and cause a photon to be emitted. They just lose energy in the collision and then carry on round the circuit.
@JohnRennie ohhhhh ! Ok
But I read on collision, the photons transfer all their energy to electron in photoelectric effect
And electrons are like photons
Yes, so the electron loses its kinetic energy and stops. But the 150kV battery is driving the electrons round the circuit, so that electron carries on round the circuit.
Feb 17, 2020 10:03
@JohnRennie Okay
Photons can just disappear, but electrons can't.
2
@JohnRennie Ok!
Technically we say that photon number is not conserved. The reasons why are a bit onvolved.
@JohnRennie Ok
Electrons carry an electric charge (of $-e$) so if they just disappeared charge wouldn't be conserved. Photons have no charge so it doesn't cause any problems with charge conservation if they appear and disappear.
Feb 17, 2020 10:05
@JohnRennie Okay
Are you happy you understand the question now?
@JohnRennie yes :-)
OK, I need to work for a few minutes but I'll be back soon if you want to ask anything further.
@JohnRennie yes I had more to say
Please ping me when you are free
The answer given is 355cal/s
I got the answer no worries :-)
 
Conversation ended Feb 17, 2020 at 10:18.