« first day (1492 days earlier)      last day (1115 days later) » 

2:46 AM
@JohnRennie Sir, pls help with this question
 
3:07 AM
@Rover Kitne aaye?
 
@RobinSingh 1 percentile reduced than last time :(
@RobinSingh What about you?
@RobinSingh in this option A cannot be right ?
 
@Rover I got 98.28. But that 1 percentile reduction doesn't matter, right? Coz u already got 99+ last time
@Rover Yeah that's what I was thinking even though it is given as the answer
 
@RobinSingh No 98.86
 
3:23 AM
Oh
@Rover Isn't B wrong too? Coz it will be gsin(theta) only if there aren't any pulleys on it, in this case, won't the pulleys apply force too?
 
@RobinSingh Yes, but tensions applied are cancelling each other
 
Oh yes, thanx
 
3:51 AM
@JohnRennie Sir I have a doubt.In these problems.I am free more or less today.If you would ping me up at your free time that would be extremely kind of you.
 
4:17 AM
@Rover @RobinSingh why is option A not right? As you said block B does not play any role since the tensions cancel, so it is a situation of two blocks connected by a string on an incline where the upper one has friction, thus the upper block has a tendency to go slower; the string will always remain taut, not slack, hence A, C should have the same acceleration?
 
4:28 AM
@JohnRennie hi
 
@Anusha hi :-)
 
U wake up so early?
Btw I had some questions as usual
 
The UK has just switched to summer time so all the clocks went forward one hour.
 
Ohk
@JohnRennie can u coordinate with me at 1.00pm I had a doubt
Or whenever you are free
 
I'm free now.
 
4:38 AM
Ok I have 5 min I'll ask one
I have a class in 5 mins so......... what to do ??
 
@Anusha this is an interference question.
 
I am having problem with this...Can you help me out..
 
@Anusha You get a maximum sound volume when the distances to the two speakers differ by an integral number of wavelengths.
And a minimum volume when the distances differ by a half integral number of wavelengths.
 
@JohnRennie you mean that whole moving on CD the pattern is like maxima and minima of double slit experiment hence I'll get some points with maxima and other with minima?
 
4:42 AM
Yes, exactly.
 
@RobinSingh shouldn't tension be mg/8 sin(x) ?
 
How about on ab
Distance is continuously increasing
 
Everywhere on the line AB the distances to the two speakers are the same. Yes?
This is like the central maximum in the Young's slits.
 
Yes
 
@satan29 yeah even I'm getting that. It surely can't be mg/2 sin theta.
 
4:45 AM
Ok thanks I gotta go now @JohnRennie
 
So all that happens is as you move from A to B the volume falls due to the 1/r² decrease of the volume with distance.
 
@AshishAhuja yes! that implies block A is at rest.
 
@RajorshiKoyal where are you getting stuck?
 
@JohnRennie Sir what I am looking forward to is a fasters technique to arrive at the average rise or fall...
A faster technique is most suggested.
 
4:49 AM
The average rise is just the total change over the eight years divided by eight i.e. (150 - 105)/8
 
ok thats sounds great...
What about the next problem..????
 
The production in 1990 was 105 billion.
Suppose the production in 1985 was x, then the percentage growth is (105 - x)/x. Yes?
 
@JohnRennie Sir denominator should be 9
 
Why 9?
The question says there was a 15% growth from 1985 to 1990. Yes?
We are looking at Q12? Yes?
 
Previous question I am saying average rise/fall
Where you answered (150-105)/8... that should be (150-105)/9..
 
4:54 AM
Ah. From 1990 to 1998 is eight years.
 
But I got the technique well so no issues..
I need to include 1990..It is a discrete set of data...Not the interval right....
 
No.
The question asks for the average change between 1990 and 1998.
So it's the total change over the eight years divided by the number of years i.e. 8.
 
ok ok... what about the next problem...
?
 
So the answer is 45/8 = 5.625. Option (2). Yes?
 
No 5 billion rise
I guess they have divided by 9..
What about the next problem...
??
 
4:58 AM
Q12
 
yes..
Percentage growth..
 
The production in 1990 was 105 billion.
Suppose the production in 1985 was x, then the growth is 105 - x.
So the percentage change is (105 - x)/x
 
Yes correct...
 
And we are told this is equal to 0.15
So (105 - x)/x = 0.15
Solve for x
 
ok let me try doing that...
yes correct..
Next problem..
Thanks a lot for helping..
 
5:03 AM
I'm not sure what Q13 is asking.
I guess it means you to compare the fall from 1992 to 1993 with the fall from 1997 to 1998.
 
ok no issues..next problem...
 
No, wait.
I think Q13 just compares the two figures i.e. it's the 1992 production divided by the 1998 production.
i.e. 118/150 = 78.66%
Q14 just asks you to calculate the average of the 9 numbers, then find out how many years are less than the average.
I get the average to be 131.78
 
ok
All your answers are correct..But tell me something how did you predict the uneven growth question..please give me a detailed synopsys..
 
Which question? Q12?
 
Why is it called "uneven growth"?Please tell this to me in detail..yes absolutely..
 
5:17 AM
I don't understand the term either.
But the question says the graph shows the "uneven growth"
So I just took it as a name for whatever quantity is plotted on the graph.
 
But why did you not take it as an interval?
 
My instinct would be that "uneven growth" means the change between the years, but the options given don't fit if you interpret the data that way.
So I just guessed that it just meant the figures shown on the graph.
But I think the question is poorly written as it is confusing terminology.
 
ok got you..
if someone asks me about the highest percentage difference then how do I calculate that..That is what I am asking...
Please answer this to me in slight detail...
I mean in a particular month or year..how do I calculate that..
 
Do you mean the highest percentage difference between two years?
 
no over the previous year I am sayiing..
 
5:32 AM
That is the difference between two years i.e. the difference between a year and the year before it.
 
But percentage also has a denominator right...???
Yes or no?
 
If you have two numbers x₁ and x₂ then the percentage change from x₁ to x₂ is (x₂ - x₁)/x₁
i.e. it's the change divided by the first number
 
Graphically how do I predict which is higher..
For same difference..
The one which will have a lower value of $x_1$.
?
 
If the percentage is a positive it means the number is increasing i.e. x₂ > x₁
If the percentage is negative then x₂ < x₁
 
5:58 AM
@JohnRennie u free?
 
@Anusha yes
 
See this one not getting the approach
 
The way I would do this is to write equations for the positions of A₃ and B₂ as a function of the angle at D.
This is straightforward geometry.
 
Ya I can do that I think
Then differentiate?
 
Then differentiate wrt time, and you'll get two equations that give you the velocities of A₃ and B₂ in terms of θ and ω.
Then you can divide the expressions to calculate the ratio v(B₂)/v(A₃)
 
6:03 AM
And What's omega
 
ω = dθ/dt
 
Never mind that will get cancelled I guess
I was thinking about its value
 
Hopefully it will cancel when you take the ratio.
 
Ok another qo.
 
All you need is the value of θ i.e. 90°
 
6:05 AM
 
What happens here is that you get an image force due to the conducting plane, so in effect gravity is increased.
 
The sol to this was given by replacing the conducting sheet by a charge -q at equivalent distance
 
@Anusha yes. Do you know about using images in electrostatics?
 
No
But can u tell it seems interesting
 
If you put a charge near to a conducting plane then the charge induces charges in that plane and those induced charges then exert a force on the original charge. Calculating this would be hideously complicated but luckily there is a short cut.
The conducting plane in effect acts as a mirror, so it behaves as if it creates an image of the original charge just like a mirror creates an image of an object
So if you put a charge q a distance d above a conducting plane then the charge experiences the same force as if there was a charge -q a distance d below the mirror.
So the force on the charge q is just kq²/(2d)²
 
6:11 AM
But taking an image how does it ensure that it is equivalent to force by conducting sheet
 
To be honest I forget how the proof works. You just have to remember that it does.
 
Ok fair enough
 
@JohnRennie it follows from the uniqueness theorem
 
@satan29 OK :-)
 
wait though.
@JohnRennie the conducting plate isnt grounded here...
 
6:14 AM
@satan29 The question is vague on this point, but it obviously expects you to use the method of images.
 
@JohnRennie hmm
 
@JohnRennie I've another one from rotation?
 
@JohnRennie I am getting stuck up with problem 7,8,9,10..
 
@Anusha yes
@RajorshiKoyal let me answer Anusha and I'll look at your question next.
 
6:16 AM
ok
 
To be honest I'm unable to understand the scenario of all rotations happening
 
@Anusha XD I remember this problem from AITS
 
Where did u study @satan29
 
******* institute.
 
@Anusha my instinctive approach is to calculate the velocities ...
 
6:19 AM
@JohnRennie following u
@satan29 come on tell na my sir told me it's not from our institute and I'm dying to know who gives such qo. Pls
 
The velocity of a point on the large cylinder is given by v = rω so it's v = 4Rω₀
 
@Anusha fiitjee. Fiitjee AITS is notorious for such painful questions
 
I dont get this @JohnRennie what is meant by line of os moving
 
And since the small cylinder rolls without slipping that means the velocity of the point B is also v = 4Rω₀. Yes?
 
@satan29 oh then I'll have to arrange them from somewhere
@JohnRennie yes
 
6:22 AM
Now it says the line OC is rotating at 2ω₀ i.e. if we had a solid bar joined at one end to O and at the other end to C then that bar would be rotating about O at 2ω₀.
 
Ok
 
The length of that bar would be 3R, i.e. the distance from O to C is 3R, to the velocity of the end of the bar at C is (3R) x (2ω₀) = 6Rω₀. Yes?
 
We know there is no bar so it's hard to believe this motion I mean are we solving it for air?
 
Like that
 
Ok
 
6:28 AM
So now we can work out the velocity of A, which is 20Rω₀ to the right. Yes?
No, wait.
16Rω₀
 
Ok
 
The difference in the velocities between A and C is the same as the difference in velocities between C and B i.e. 10Rω₀
So now let's look at the options.
 
Ok
 
The velocities of the edges, A and B, of the small cylinder are 10Rω₀ relative to the centre C. Yes?
 
Give me 1 min to absorb everything
Ok
Done
 
6:34 AM
2 mins ago, by John Rennie
The velocities of the edges, A and B, of the small cylinder are 10Rω₀ relative to the centre C. Yes?
 
Yes
 
And the radius of the small cylinder is R, so for the small cylinder ω = v/R = 10ω₀
So A is true.
 
Yes
 
For part B I think we can calculate the two accelerations due to:
1. A rotating about C at 10ω₀ and ...
2. A rotating about O at 2ω₀
A is rotating about C so it has a downwards centripetal acceleration of R(10ω₀)²
 
Yes
 
6:39 AM
And it's rotating about O so it has an upwards centripetal acceleration of (2R)(2ω₀)²
So the net acceleration is 92Rω₀² downwards.
So B is false.
For part (C) we do basically the same calculation as part (B), but now the centripetal accelerations are in the same direction so they add. The upwards acceleration due to the rotation about C is 100Rω₀² ...
And the upwards acceleration due to the rotation about O is (4R)(2ω₀)² = 16Rω₀²
Making the total upwards acceleration 116Rω₀²
OK so far?
 
Sorry lost the internet connection
I understood thanks
 
But the question asks for the acceleration relative to the point on te edge of the larger cylinder, so we have to subtract off the upwards centripetal acceleration due to the rotation of the large cylinder.
 
sir B should be correct actually
 
And that's just (4R)ω₀ and subtracting that gives 112Rω₀² so (C) is true.
@satan29 where did I go wrong?
 
A has acceleration relative to C =(10w)^2 * R
 
6:51 AM
OK, agree so far ...
 
C also has acceleration
=(2w)^2 *3R
 
Hmmm yes
 
Ah, OK, giving the 12Rω₀² to subtract off.
 
if you work out the direction, a comes out to be (100-12)=88 in magnitude
@JohnRennie yes
 
Hmm. did I make the same mistake in part (C) ...?
No, I think C is correct. This time the accelerations add.
 
6:55 AM
Yes matches with answer key
 
@Anusha B is correct in the answer right?
 
Yes @satan29
 
D is also correct, since R=v^2/an= (16wr)^2/88w^2r= 32/11 r
 
For (D) we usually work out the curvature using the centripetal acceleration i.e. a = v²/r where r is the required curvature.
 
@JohnRennie Hii sir. Are you free ?
 
6:59 AM
@SrijanM.T Rajorshi is next in the queue if he's around.
@RajorshiKoyal are you there?
 
Ohk. Sure sir. I will come around to check in a few min then. My Q is like I have written an explanation. Just wanted to confirm if it’s right or wrong.
 
@SrijanM.T OK let's look at your question, though we'll need to pause if/when Rajorshi shows up.
 
1
Q: Need help in clarifying my understanding regarding absorption and emission spectrum

Srijan M.TIn absorption spectrum . So , what happens here is that when white light is passed through a gas. The photons of the white light are absorbed by the electron in the gas. This means that the electron has received the required amount of energy from the white light needed for it to jump from the g...

Just the explanation that I have written . Is it right or wrong
 
@SrijanM.T yes, your explanation of the absorption and emission spectra seem fine.
 
Thanks a lot sir. It’s all from you I am able to understand.
 
7:05 AM
I need to drop out now for an hour or so to do some work.
 
See ya sir
 
7:59 AM
@JohnRennie Will you be back in an hour or so?
 
@RajorshiKoyal hi
 
Are you free now..
 
I'm here now and I'll be around for a few hours
@RajorshiKoyal yes
 
Can you answer the question where I got stuck up..?
 
Which question do you want to start on?
 
8:02 AM
Percentage one..
 
Do you mean Q9 ?
 
Suppose for month n the sales in that month are Sn and the sales in the previous month were Sn-1. Then the percentage increase in tat month is (Sn - Sn-1)/Sn-1. OK so far?
e.g. look at March. The sales in March were 9000 and the sales in Feb were 8000, so the growth in March was 1000 and the increase was 1000/8000 = 12.5%. Yes?
 
 
1 hour later…
9:16 AM
correct answer@JohnRennie
 
@RajorshiKoyal hi :-)
 
Yes true
 
You need to do this calculation for March, April, September and November, and see which is highest.
 
Why are you selecting these months only?
 
The question specifies only those four months.
 
9:24 AM
ok :-)
Is there any prediction that can be made from the graph to solve it fast.
 
No. You need to do the four calculations.
 
Had this been absolute differences maybe we could have thought of.
Btw @JohnRennie Sir what is the difference between quashing a case and staying a case
How are they different from each other?
 
9:40 AM
@RajorshiKoyal I don't know. You'd need to consult a lawyer :-)
Maybe staying a case means putting the case on hold with the potential to allow it to restart later after a review.
While quashing a case means ruling the case is invalid so it is cancelled and cannot be restarted.
 
ok got you..
:P
 
Here @JohnRennie Sir
This hydrogen spectrum is emission spectrum
?
 
@JohnRennie Sir if it is ok with you move over to the next question..
The other question
that I asked
 
Ohk. Sir , when you’re free. I can come around again .
 
@SrijanM.T I'll answer your question now.
 
9:47 AM
Ohk sir.
 
@SrijanM.T yes, an emission spectrum is black everywhere except for the few bright lines where the wavelength corresponds to the transition between levels.
 
Ohk. Sir , one more Q if I may ask. Why is the light first passed through a gas sample and then through a prism again.
 
The prism spreads out the light. You've probably seen how if you pass white light rhough a prism you get a rainbow.
 
Yeah.
So , the photons already carry the right amount energy and the exact energy for the wavelength to hit on prism .
 
Without the prism the different coloured lines would just overlap and you'd see a single line that was a mixture of colours.
 
9:51 AM
Ohh
 
The prism spreads out the different colours so you can see the seperate lines.
 
Yeah. Right
Thnx a lot sir. Got it
 
@RajorshiKoyal what was the other question?
 
Like the four questions I asked previously..
 
Which question do you want to look at next? Q20?
Oops, I mean Q10 not 20 ...
 
10:07 AM
Yes
 
Tis is essentially the same as Q9, except that instead of finding the percentage increase we are just finding the increase. So look at the three months that the question mentions and calculate the increase in each month. e.g. in March the increase was 1000 because it was 8000 in Feb and 9000 in March.
 
10:24 AM
@JohnRennie Sir please check questio 10 from the follow up paragraph..
I fell aboslute increase is same thing as decrease(isn't it)?
 
The question asks about March, April and September. Yes?
So we need to calculate the change in those three months.
For March we take the figure in March, 9000, and subtract off the figure in February, 8000, so we find the change is +1000.
@RajorshiKoyal OK so far?
 
@RajorshiKoyal So can you do the same calculation for April and September?
 
Yes..
Tbh I am getting highest in April..
If possible can you check once
I know that is not there in the options but I am still asking..
 
In April the sales were 10000. Yes?
 
10:36 AM
Yes..
 
And the previous month (March) the sales were 9000, so the change in April was
10000 - 9000 = +1000
i.e. the same as in March
 
Yes but May is 2000 Yes or No
That is what I feel...
 
May is -2000
 
absolute increase?
is only the modulus of this so 2000 right?
 
OK, I see what you mean. It is a little unclear.
But it does use the word increase, and in May there was a decrease not an increase.
If it has said the highest absolute change then I would agree the answer is May
 
10:43 AM
Then whay did they use the word absolute?
Please explain this..
 
I can't explain it.
The question is badly written.
 
ok...
 
10:57 AM
When we talk about the emission spectrum or absorption . We are talking about only one electron ? . So , only electron had so many different colorful lines. How does that happen ? Why is it giving out so many colours ?
 
Each atom produces only one photon, and that one photon has only one wavelength.
But in our gas we have many atoms, and in each atom the electron can start and finish in different orbitals.
So although any one atom can produce only a single wavelength, different atoms can produce different wavelengths, so all the atoms together produce the many different lines in the spectrum.
 
11:33 AM
Oh ok
Thnx sir @JohnRennie
 
12:32 PM
 
12:57 PM
@satan29 @AshishAhuja Yeah, u guys right.
 
To find the population in the year 2001...I divided the value of pouation by per cent rise..However I could not arrive at the proper solution..
I need some help...
What is really meant by population by per cent rise...
??
 
 
1 hour later…
2:25 PM
@JohnRennie Sir incase you are free anytime soon please drop a line.
 
 
2 hours later…
4:04 PM
 
4:40 PM
@JohnRennie Looking forward to discuss this problem with you..
Profit ,profit percent,income and expenditure..
All these terms are so confusing..
 
EVO
@JohnRennie sir are u free now
 
EVO
5:00 PM
@JohnRennie I have a doubt regarding Bernoulli's theorem. when we derive the equation of velocity of efflux the outside pressure at the opening of the orifice is atmospheric pressure.
But in this question (Problem 1.324 on Irodov), it is explained that the centrifugal force creates a pressure till the end of the of the tube. I can understand the second case but not the first one.
I think both the cases are almost the same. Please correct me
 

« first day (1492 days earlier)      last day (1115 days later) »