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5:45 AM
@JohnRennie him
 
@yuvrajsingh hi :-)
 
Alesha here, I have a question
You Can say it is not much related to jee but yes.
@JohnRennie
 
@yuvrajsingh you're welcome to ask. They don't all have to be JEE questions :-)
 
light consist of photon, how this photon produce? is that due to oscillation of electric or magnetic produces photon? if light shows destructive interference with the other light, is the photon destroyed?
 
There's two separate questions there. Let's look at the interference question first because it's simpler.
Interference just moves energy around. It doesn't remove or create it.
 
5:51 AM
OK, it mean photon release energy, or photon released?
 
For example when you see fringes in the YDSE it's because energy has moved from the dark areas to the light areas. If you average out the light intensity you get the same average energy as in the interference hadn't taken place.
How this relates to photons is a bit complicated. Photons are not little balls of light. A photon is quite a complicated object that is usually spread out over a region of space i.e. it is delocalised.
Quantum objects like photons and electrons don't have a position is the same way we think of macroscopic objects like balls having a position.
Instead they are more like fuzzy clouds i.e. spread out over a region of space.
The interference affects the way the photon is spread out. If you think of the photon as a cloud then the interference makes the cloud thicker in some places than in others, but it's still the same delocalised photon.
 
I asked my teacher about that he said light is an EM wave is not totally adopted, till we get result from. This we can assume, and he also said that, s why we have have dual character of light @JohnRennie
 
He is correct. Although be careful about the wave particle duality business. Light is not a wave or a particle, it is both.
 
That confirm maxwell can be wrong.
 
Light is a quantum field, and this can sometimes behave like a wave and sometimes behave like a particle depending on how it is interacting.
@yuvrajsingh I wouldn't say Maxwell was wrong. His equations describe light well in the classical limit. Maxwell didn't know light was quantised because he died before quantum mechanics was discovered.
 
6:00 AM
OK.
Radio wave is a light wave.
 
I wrote a long answer in photons on the main site. Let me do a quick search for it.
@yuvrajsingh yes. They are both electromagnetic waves.
47
Q: Do photons truly exist in a physical sense or are they just a useful concept like $i = \sqrt{-1}$?

JensReading about photons I hear different explanations like "elementary particle", "probability cloud", "energy quanta" and so forth. Since probably no one has ever seen a photon (if "seen" it supposedly - and rather conveniently - ceases to exist) but many experiments seem to verify its properties ...

 
Is that frequency which make them different?
 
@yuvrajsingh yes, light and radio waves differ only in their frequency. Likewise X-rays and gamma rays.
They are all just EM waves with different frequencies.
 
Sir binding energy in the nucleus, can compare with photon energy.
@JohnRennie
 
The binding energy in the nucleus is typically far higher than visible light energies. Transitions in nuclei typically emit gamma rays not visible light.
Visible light is about the same energy as transitions of the electrons in atoms.
 
6:06 AM
One last from the different rays we see that photon has a boundaries in its energy or frequency is that correct?
@JohnRennie
 
Can you clarify what you are asking?
What do you mean by a boundary in its energy?
 
I mean we have range of energy,
Like infrared, visible, etc.
Ultraviolet.
 
We generally classify EM radiation by its energy, yes. For example visible light has a wavelength between 400nm and 700nm.
I forget what energies those wavelengths correspond to.
 
OK.
?
@JohnRennie
 
@yuvrajsingh what are you asking?
 
6:16 AM
Sorry I make question mark that are you there, can you help me understandimg dimension analysis.
@JohnRennie
 
@yuvrajsingh Yes, where are you running into problems with it?
 
Actually I never learn dimension analysis, because our teacher skip that topic.
How do we identify a given formula is dimensionally correct? @JohnRennie
 
It's very straightforward. Suppose you have some equation $x = y$ where $x$ and $y$ are some physical properties.
 
If $x$ and $y$ are equal they have to have the same units. For example you can't say $x$ metres = $y$ seconds. They would have to be $x$ metres = $y$ metres or $x$ seconds = $y$ seconds.
metres and seconds cannot be the same. OK so far?
 
6:24 AM
Yes.
 
Consider an equation you will be familiar with: $s = ut + \tfrac12 a t^2$
On the left side we have a distance, so it's units will be units of distance.
 
Rather than choose a specific unit of distance like a metre or a mile, we use $[L]$ (for Length) to indicate a unit of distance. So on the left side the dimensions are $[L]$.
So let's look at the right hand side and check that it also has units of distance.
 
The first term on the right is $ut$. Does this have units of $[L]$? What do you think?
 
6:28 AM
Yes.
m/sec. Sec=m
 
Yes, because velocity $u$ has units of $[L][T]^{-1}$
 
Or L.
 
(where $[T]$ means time)
So $ut$ has units of $[L][T]^{-1}[T] = [L]$
And if you look at the other term $\tfrac12 a t^2$ you should see this also has units of $[L]$.
 
Yes.
 
So if we write the units used in $s = ut + \tfrac12 a t^2$ we get $[L] = [L] + [L]$.
We say the equation is dimensionally consistent i.e. the dimensions match on both sides.
 
6:33 AM
I got, there two kind of system
For unit CGS and SGS.
 
Note this also applies whenever we add values. If we have $x + y$ then $x$ and $y$ must have the same dimensions because you can't add metres to seconds, or seconds to kilograms.
 
Yes.
What, s the difference between them.
 
What is SGS? I know what CGS is (centimetres, grams, seconds) but I've never heard of SGS.
 
Sorry typo mks
 
OK. Suppose we consider mass. We can measure mass in kg, grams, pounds, tons or any number of different units.
Likewise distance can be metres, cm, miles, etc.
Normally we use SI units of metres, kilograms and seconds, and that's what MKS stands for.
 
6:37 AM
OK.
 
OK so far?
 
Yes
@JohnRennie
 
CGS just means distance is measured in cm instead of metres, and mass is measured in grams instead of kilograms.
 
OK some kind of subset.
 
Not a subset, just different units.
 
6:41 AM
OK.
 
For example in SI the gravitational acceleration is 9.81 m/s^2. In CGS it would be 981 cm/s^2.
 
Yes.
 
@JohnRennie nice cap
 
Note that when using dimensional analysis we don't care what the units are. Both metres and cm are $[L]$.
@Jasmine :-)
 
who can have it
 
6:43 AM
OK sir.
 
@Jasmine see above
 
OK sir last I have a question related to error analysis.
 
@yuvrajsingh we haven't quite finished with dimensions
There is one more thing to say.
 
Sorry.
 
i havent earned any hat :(
 
6:45 AM
You know that gravitational PE is $mgh$. Well suppose we didn't know this equation.
 
We can work it out using dimensional analysis.
 
sorry to interrupt , continue discussion :-)
 
Suppose we guess that $PE = m^a g^b h^c$ where $a$, $b$ and $c$ are unknown constants.
The dimensions on the left are the dimensions of energy. Can you work out what they are?
 
6:48 AM
P. E HAS SAME dimension as work done.
Work done =M×L^2×T^-2
@JohnRennie
 
Yes. So on the left side the dimensions are $[M][L]^2[T]^{-2}$
Now what are the dimensions of $m^a \times g^b \times h^c$ ?
 
a=1.,
C=2
And b=-2
 
You've got the idea. The dimensions on the right are $[M]^a [LT^{-2}]^b [L]^c$
Or collecting terms: $[M]^a [L]^{b+c} [T]^{-2b}$
OK so far?
 
Yes.
I now comparing the powers.
 
And the dimensions on both sides have to be equal so $[M][L]^2[T]^{-2} = [M]^a [L]^{b+c} [T]^{-2b}$
And that gives us three equations:
$1 = a$
$2 = b + c$
$-2 = -2b$
 
6:58 AM
Correct, I was wrong, but I got it now.
 
So the point is that we can use dimensional analysis to work out what form equations must have.
 
Yes sir.
 
And that's it. That's all there is to dimensional analysis!
I should note that working physicists use dimensional analysis all the time to check their equations.
 
OK.
Error analysis?
 
Often we have to do some complicated derivation or integral where it's easy to make a mistake. You can use dimensional analysis on your final result to check for errors.
Any dimensional inconsistencies mean we must have made a mistake somewhere.
 
7:02 AM
OK.
 
@JohnRennie Good Morning sir :-)
@yuvrajsingh Hii Yuv ;-)
 
@user8718165 hi :-)
 
@user8718165 hi, morning, Alesha here.
 
@yuvrajsingh yeah...Great. Hi Alesha :)
 
7:05 AM
 
OK, how far have you got with this?
 
n=v/2l
And then $/ delta n /n$
@JohnRennie
 
If $\ell$ is the length of the pipe then for the fundamental $\lambda = \ell/2 = v/f$
So $f = 2v/\ell$
And we are told that the velocity $v$ is accurately known so the only error is in $\ell$. Note that the radius $r$ doesn't appear in the equation. Giving you the error in the radius is a red herring.
 
Yes.
@JohnRennie
 
You can do this by differentiating the equation, or you can just shortcut by noting that the percentage error in $f$ is the same as the percentage error in $\ell$.
 
7:15 AM
Short cut.
 
With errors there are a few basic rules that work in many circumstances.
If you add quantities $f = x + y + z + etc$ then you add the errors in quadrature:
$$ \Delta f^2 = \Delta x^2 + \Delta y^2 + \Delta z^2 + etc $$
If you multiply quantities $f = xyz$ then you add the fractional errors in quadrature:
$$ \left(\frac{\Delta f}{f}\right)^2 = \left(\frac{\Delta x}{x}\right)^2 + \left(\frac{\Delta y}{y}\right)^2 + \left(\frac{\Delta z}{z}\right)^2 + etc $$
OK so far?
 
@JohnRennie Hi!
 
@AdvilSell hi :-)
 
I need help with some electronics , is it okay if i ask you here ?
 
@JohnRennie yes.
 
7:22 AM
@AdvilSell yes, though as soon as I've answer Alesha's question I need to work for a few minutes.
@yuvrajsingh division is like multiplication. You add the fractional errors.
 
So in this case we have $f = 2v \times \ell^-1$
 
@JohnRennie Who is Alesha ? okay , till then I will upload my circuit
 
So $(\Delta f/f)^2 = (\Delta \ell/\ell)^2$
And you are told $\Delta\ell/\ell = 0.1/94$
 
Yes.
@JohnRennie
 
7:28 AM
So $\Delta f/f$ is also equal to 0.1/94.
 
OK.
Thank you sirm
 
@AdvilSell hi, what did you want to ask?
 
@JohnRennie So I designed this circuit to switch on the Right circuit if I switch on the Left circuit , I want to know what will be the voltage at the 4th pin of optocoupler ?
is there a way to find it
I am new to using optocouplers
 
Optocoupler?
 
7:34 AM
@JohnRennie Sorry
 
"Octocoupler" sounds like a way of joining octopuses :-)
 
@JohnRennie XD
 
The way an optocoupler works is that the light from the diode excites electrons in the transistor and causes a current to flow even though the base current is zero so the transistor should be off.
 
@JohnRennie so the current flow through the collector ?
 
When there is no current flowing in the LED side of the coupler the transistor is off so the voltage at pin 4 is +16V. OK so far?
 
7:37 AM
ye
yes
 
When you have a current $I_{in}$ flowing in the diode part of the coupler it produces a light intensity proportional to $I_{in}$, and this causes a leakage current in the transistor proportional to the light intensity. So the current $I_{out}$ though the transistor is proportional to $I_{in}$.
 
okay
 
To get the constant of proportionality you'll need to check the spec sheet for the coupler.
 
here it is
I am not able to find it :(
 
The voltage ta pin 4 is obviously just $V_4 = 16V - I_{out}R_3$
 
7:42 AM
@JohnRennie can you tell me what's the general value of Iout ?
 
What you need is the transfer ratio
 
Current transfer ratio (CTR : MIN. 50% at IF=5 mA,VCE=5V)
 
This one ?
 
Yes. So in this case $I_{out} = I_{in}/2$
 
7:45 AM
@JohnRennie okay , Thanks
you are great !
 
@AdvilSell Wait!
 
okay
 
The CTR is function of $I_{in}$. See figure 6:
Hmm, so it's non linear.
 
@JohnRennie Hm
I have to be careful
Anyways here any voltage less than 16V will do my thing
 
Yes, that's going to be a pain if you want a smooth response over a range of $I_{in}$. Not so bad if you're just using the coupler as a switch.
 
7:49 AM
@JohnRennie Yeah can't use it as a dimmer probably
 
I'm sure there are ways to linearise the response, but I'm equally sure I don't know them :-)
 
@JohnRennie :-) , I will Search about them
thanks again
:D
 
You're welcome. I'm amazed I remembered that. I last used photocouplers about 30 years ago :-)
 
@JohnRennie I already said , You are a LEGEND !
2
 
 
1 hour later…
9:11 AM
@JohnRennie Hi there!
 
@Dante hi :-)
 
Can you help me with a question related to C programming language?
 
Yes. Do you want to ask in CodeClub?
 
Sure
 
Post it in CodeClub.
 
9:14 AM
okay
 
 
4 hours later…
1:37 PM
hello sir :-) @JohnRennie
 
 
2 hours later…
3:27 PM
@JohnRennie hello sir...
 
@user8718165 hi
 
@JohnRennie hi Alesha here, I have a question.
 
Is it a quick one? I've just started eating lunch.
 
There is no issue of quick or not, since you are eating lunch. So we will discuss after that. @JohnRennie
 
OK :-)
 
4:14 PM
@JohnRennie hello sir
@JohnRennie Is lunch finished :)
 
4:49 PM
@user8718165 aha, you've got a hat! :-)
 
@JohnRennie yeah sir :-)
 
Lunch is finished now, though I'm sleepy after a big lunch and won't be wanting to answer any questions that are too energetic.
 
@JohnRennie sir I'll return shortly after dinner. Please be there. :)
 
@user8718165 OK :-)
 
5:06 PM
@JohnRennie hello sir... I'm back :-)
 
5:18 PM
@user8718165 hi, I've had something urgent come up at work, but I'm neraly done.
 
@JohnRennie yeah sir... I saw...no worries. I'll wait for you :-)
 
5:37 PM
@JohnRennie hello sir
 
@user8718165 hi
 
@JohnRennie hello sir...can I ask now...? :-)
 
Yes. I'm still keeping an eye on the work thing, but it's basically finished now.
 
@JohnRennie sir suppose a block is moving with some velocity $v$ and a ball hits it with velocity $v'$, $(v'>v)$ The wall is somehow controlled such that its velocity can't be changed at all..what will happen sir..?
@JohnRennie I think the ball will hit the wall with $v'-v$ velocity...
 
If the wall velocity is the same before and after the collision just work in the rest frame of the wall. In that frame the velocity of the ball just changes sign in the collision.
 
5:52 PM
@JohnRennie okay sir...so KE will also be the same ..right?
@JohnRennie hello sir...
 
I'm calling it a day now. I'll be around tomorrow as usual.
 
@JohnRennie see you tomorrow :-)
 

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