Equation of path of the turning ray in Mirage is derived using Snell's Law
Пікірлер: 465
@dipanshuaggarwal70894 жыл бұрын
Absolutely satisfied, I wish ncert also update its book with your explanation for a mirage..
@yasirshahmbbs4 жыл бұрын
NCERT is not written by a single physicist but it has been written by many physicists........ So they what to give and what level should b given to students.....
@pratyushpandaentertainment86894 жыл бұрын
Wo khabhi nahi ho sakhata
@Thephysicsplace3 жыл бұрын
@@yasirshahmbbs level. Does level means to teach wrong
@Thephysicsplace3 жыл бұрын
Haliday resnik does not say mirage. Wikipedia does not say mirage. Madhav University page also does not say mirage
@ABHISHEKSINGH-tw3ti3 жыл бұрын
@@Thephysicsplace Then what they say about this?
@MukeshVerma-bz6yu3 жыл бұрын
Sir aapki video mil gyi toh bass . Dhanye ho gye 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏
@GulabSingh-og1bd3 жыл бұрын
सर जी आप बहुत महान है आप को कोटि कोटि नमन।
@sciencebyrazasir42462 жыл бұрын
I think two rectification is needed to think in right direction. 1 The angle of incidence is not exactly 90degree but very close to 90 degree 2.considering the layer of atmoshpheric layer at micro level .then the confusion of TIR will be solved .TIR happen but with very large angles close to 90degree.then his concept of bending is right .the ultimate trajectory will be parabola symmetrical to x axis .
@abhi8055.3 жыл бұрын
Sir sorry to say but u did not talk about the bending back of light at the vertex of the parabolic path. I think that if we are considering the refractive index to be changing gradually, then the ratio of refractive indices of two consecutive elemental layers will be close to 1. So if anywhere in this setup, Total Internal Reflection (TIR) has to happen, by snells law we can find that critical angle C = sin^-1 (n2/n1) where light is going from medium with refractive index n1 to medium with n2. As I've said earlier, since the variation in refractive index between two consecutive elemental layers will be very less, the ratio n2/n1 will tend to 1 ( a little less than one actually) . So critical angle C will tend to 90° (a little less than 90°actually). That means, if anywhere in this setup, TIR happens, it will happen only when incidence angle tends to 90°. So as u explained, initially only refraction will happen and the first half of the parabolic trajectory will be there. But then at the vertex, as soon as the tangent is about to become horizontal, the angle of incidence will tend to 90° and so TIR will happen. That's why light ray should bend up again JUST BEFORE reaching the vertex. If light ray had reached vertex of parabola and had become horizontal once, then it would have always remained horizontal forever bcoz there is no change in refractive index horizontally The method u used can help us find the trajectory of the part where REFRACTION is happening, but the light ray will bend up only bcoz of TIR, that's what I concluded. Am I correct?
@drjkbkgk8263 жыл бұрын
Guru mujhe tuition padha dijye🤯🤯
@rajeshshekhawatshekhawat51863 жыл бұрын
@@drjkbkgk826 teko bhi aajaye ga bass iit crack kar le aur mathematics mai phd 😂
@rajeshshekhawatshekhawat51863 жыл бұрын
Ya bro you are correct somewhat I think same
@arunsaha59703 жыл бұрын
You are wrong
@abhi8055.3 жыл бұрын
@@arunsaha5970 please explain how
@ramanarayanmishra42332 жыл бұрын
Mr Verma is god of physics for me. Because Alakha sir follow verma sir .so for me he is legent of physics.....
@deepakmandal99124 жыл бұрын
Then sir fir q hume glt pdaya jata hai...... Aap iss chiz ko aage bdao aur apne name se iss chiz ko explain kro sir ...
Agathiya muni and Ayyanar Lord Muruga blessed prof.H.C.Verma.
@TechnologyQuest3692 ай бұрын
🙏
@elamvaluthis72682 ай бұрын
@@TechnologyQuest369 Thank you sir.
@himanshu7882 жыл бұрын
Sir what if refractive index of air is not linearly increasing and there is no any critical point at the time of refraction and angle of incidence suddenly become greater than critical angle and the reflection occur
@vardhanmalhotra83702 жыл бұрын
Wow wowwww legend of physics❤🔥💚
@akshatpandey91412 жыл бұрын
Love from Bhagalpur ,Bihar sir aapke lectures bahut acche hain. Best Physics teacher .
@prateeksharma85932 жыл бұрын
Congratulation sir for padma shri
@anshik.k.t2 жыл бұрын
Sir, would have been better if you would have explained wheres the fault in TIR explanation and why have you assumed gradual variation of refractive index is linear?
@shubhamdas56764 жыл бұрын
Awesomely explained...Thank u sir....U just sweeped away my doubts...
@dhruvinvekariya9754 жыл бұрын
Best part Hum apni laboratory me mirage banayenge Which is usually can't done in schools... Thanks sir😍😍
@tunetrove55454 жыл бұрын
Sir you are one of world's best teacher
@elamvaluthis72683 жыл бұрын
Agathiya muni prof.H.C.Verma always excels.
@ABCDAnyBodyCanDo4 жыл бұрын
I want to make a humble point here! Both your method and total internal reflection method are correct. Your method explains why it has to bend, theoretically. TIR method tells how it bends, practically. So both are correct. The question of incident angle being 90deg has no meaning. Because in that case, the light ray is not touching surface at all. Also there's no need for the ray to get until 90deg to get totally reflected. So from my point of view, both styles of explanation are correct. If anybody has another point of view, we can discuss here 😊
@thecomedian90774 жыл бұрын
No...sir is ryt... Total internal reflection is not the cause here...because tir occurs when there is sharp difference in refractive index between two layers which is not the case here. ... Don't be oversmart.... Being curious is good but first try to understand what sir is saying
@ABCDAnyBodyCanDo4 жыл бұрын
@@thecomedian9077 Don't get offended brother! Stay calm please! I'm not saying he is wrong. He is correct! But meanwhile TIR is also correct. That's my statement. Have you ever heard of index gradient reflection?! Normally, TIR refers to reflection at an interface between a high index material and a low index material. "index gradient reflection" occurs without need for an interface: instead, it requires only a refractive index that changes gradually. The light rays never need to encounter an interface where the index changes abruptly. Please read my first comment carefully once again. I hope I had a point. I may be wrong. But we can discuss on it with proofs. Thanks for the healthy discussion😍👍
@trsomas3 жыл бұрын
If we assume that refractive index is continuously changing, then TIR cannot be correct. Here is why TIR says that there is some critical angle (let us say angle C) such that when angle of incidence is greater than C, then the light ray will not go into the second medium but will be fully reflected back into the first medium. As you can see here, the value of C must be less than 90 degree because angle of incidence has to be less than 90 deg. When refractive index changes continuously, then even if you take angle of incidence as 89.99 deg or any value less than 90 deg, there will not be reflection. So what will you take as the value of C? The light ray continuously bends till the angle of incidence becomes 90 degree. After that it moves up due to Huygen's principle (each point acts like a wave front). Then again it keeps on bending as it moves up.
@Amantheparadise2 жыл бұрын
@@thecomedian9077 how can you think , refractive indices of air are continuously distributed ,,Verma sir case ,is not actually what going on.,and without TIR Mirage not possible,,the relationship btw deviation and incident rays in his book is parabolic for a certain domain because refractive index is smooth.
@poonamramawat7637 Жыл бұрын
@@ABCDAnyBodyCanDo sir ne practical bhi diya last me tir can happen only when there are 2 media involved , But air has technically lots o media(wiith varying n)
@winixstar25653 жыл бұрын
i like your teaching style so muchhh
@muktabardhan34004 жыл бұрын
But can TIR be totally ruled out? Small deviation from critical angle is quite possible. Gradually increasing and then decreasing ( after reflection) angle of incidences will also make a light ray traverse a path. similar to a parabola.
@supriyaandvishal83984 жыл бұрын
Boy question..10the level Sirs answer ...😓😓😓
@joykumarchoudhury71973 жыл бұрын
Y square = 4ax , has axis along x axis
@whaddoiknow6519 Жыл бұрын
The law of refraction was discovered by the Arabic scientist Ibn Sahl in 984 AD. Snell wrote down the equation in 1621 AD. Earlier we did not know about Ibn Sahl so credit was given to Snell. But now that we know Ibn Sahl found the law more than 500 years earlier, it should properly be called Ibn Sahl's law. Look at the Wikipedia article on Ibn Sahl.
@rishabhyadav67052 ай бұрын
Wrong
@whaddoiknow65192 ай бұрын
@@rishabhyadav6705 Would you care to explain what is wrong?
@sachinpathak7872 Жыл бұрын
Sir , may be bending it light is due to internal reflection. as refractive index gradually decrease so reflected light is partially refractured and reflected when it fall on interfere of rarer and denser medium Refracted light shiws bending... I m
@taheeramalik9911 Жыл бұрын
Sir how far the actual object is from the place where mirage occured?
@PrateekChauhan19955 жыл бұрын
Sir with due respect it will still not explain the behaviour of the ray at the vertex. I agree with the parabolic shape of the curve but why it bends is still unexplainable.
@santanuchatterjee6544 жыл бұрын
True. Because if n sin (theta) remains constant then when the ray becomes horizontal it should stay like that for the rest of the path.
@gaurav19664 жыл бұрын
While the horizontal path at vertex satisfies Snell's law, it is not a stable path. Any perturbation in upward direction will result in further upwards bending, eventually causing the bent path as shown.
@swastikkanjilal28294 жыл бұрын
It's bending is understood from the trajectory of any differential part of light ray...
@subhadipbardhan97114 жыл бұрын
Its bending can be explained by considering huygens principle i.e each point on wavefront behaves like point source.
@abhirampande19744 жыл бұрын
Because the speed of light change with the change in medium due to the difference in the optical density of the media.
@karunanidhisingh92883 жыл бұрын
Sir you are man of humane And your expression is full of simplicity
@vanshff23405 жыл бұрын
Wow sir! Thank you so much.
@elamvaluthis72683 жыл бұрын
Why are some objects opaque and some transparent?.
@rabindranathpanda26554 жыл бұрын
If there is parabola, vertex is one point.So,the incidence angle must be less than 90 degree &greater than critical angle.So,it is formed due to the reason for TIR.Hope,this comment,HC Verma sir will see and reply.I respect him very much
@vibhansh_bhatia3 жыл бұрын
Maybe this is a little bit late but anyways here's my opinion Sir as you know the axis that HC verma sir has taken to be tangent of parabola is y axis and the axis of parabola is x axis i.e it is normal at the vertex and we also know that the y axis is perpendicular to the x axis so the angle of incidence is 90°. Hope it helps
@vrishalideshpande59998 ай бұрын
Sir after total reflection the light again travels back from rarer to denser medium so it moves towards the normal while passing thru every layer so it apears that it bends
@vrishalideshpande59998 ай бұрын
This is the understanding i had in my mind till today
@user-sp1vi2eo4w11 ай бұрын
Is it tan or cot?
@iitianmeghna2815 Жыл бұрын
Sir, I think angle of incidence 90° hone se pahle hi total internal reflection ho jayega isliye 90° vali situation nhi aayegi. Neeche se curve smooth nhi hoga
@poonamramawat7637 Жыл бұрын
Vertex toh hoga hi parabola(curve) ka
@intuitionworld16042 жыл бұрын
Sir I have a doubt,that the actual curve of a mirage should not be a parabolic its just seems to like parabolic...if that is right then in that case how one can able to explain that mirage concept of using your this explanation where as your final result shows that curve should be like a parabolic curve!?
@rajibchakraborty48914 жыл бұрын
The experiment is great....
@biplabgon78372 жыл бұрын
Sir can't this be that their are infinite.interfaces as if we consider.dl^2 has one.interface then their will.be infinite interfaces so infinite lines will form.a curve...therefore the curve can be explained by tir
@Allinone-jf8ro5 жыл бұрын
It means TIR cause is wrong if it is wrong then how??
@tanyapandey72904 жыл бұрын
Awesome videos sir....really helpful...
@surajprakash62982 жыл бұрын
Great
@physicsbyzaidhashmi5 жыл бұрын
Sir please tell about the eddy current....... And also what is reason behind it for only circulating current
@mahatojitendra4 жыл бұрын
Very easy to understand sir. In simple words we can say Yahan Kai bar ek hi direction me dhire dhire rays ka refraction hua hai . am I right ?
@SaranIITJEEMathematicsByJPGiri4 жыл бұрын
Very nice 👌 Sir, we proud of you to have such a great genius
@loveyouphysicsabhijitsanya80663 жыл бұрын
Sir due to curvature of space time continuum may we explain mirage phenomena? I think mirage actually accur due to variable space time with respect to x due to changing density. You say to keep n multiplied by sin theta constant the path of light follow that parabolic trajectory. Mathematics said that. I have no doubt about it. But if we consider here light is a collection of particle how we explain mirage phenomena? Which force is responsible here to bent the path of photon which have momentum? Please kindly reply sir.
@juxtapose44473 жыл бұрын
please learn some real physics before asking such questions.
@chandramohankumhar26434 жыл бұрын
Thank you very much sir for explaining various topics on physics
@apoorvrana91465 жыл бұрын
thank you so much sir..i did'nt expect that practical at end...thank you so much..
Respected sir, in rainbow formation total internal reflection involved or not . I found contradiction in concept of physics part 1 2012 print and foundation science physics for class 10. Forth adition reprint 2012. Regards Nitin nagar class 10th.
@PrayaasPhysicsClassesDehradun4 жыл бұрын
It is not Tir...it is internal reflection that happens along with refraction
@Thephysicsplace3 жыл бұрын
@@PrayaasPhysicsClassesDehradun new edition of hc Verma has corrected it
@sudip46635 жыл бұрын
Very nice sir
@thertist12255 жыл бұрын
Sir , but in the brachistocrome problem the path of light though a continuously variable refractive medium is a cycloid .
@yashdeole14135 жыл бұрын
Yeah right
@yashdeole14135 жыл бұрын
Maybe not neglecting alpha² x² leads to cycloid
@drayoncoolagon92574 жыл бұрын
the path isn't continously variable , the change in a small fraction is very small
@kumarprateek99423 жыл бұрын
rip the kid of 10th class who asked the question!!
@prathamrevankar8266 Жыл бұрын
It’s in iit syllabus
@Aditya_adi_111 ай бұрын
@@prathamrevankar8266 nahi hai bro
@newsongs53013 жыл бұрын
Sir I am radhe krishan kumar Sir why are any object attract each other
@dr.supritajha50775 жыл бұрын
Thank you sir Even I thought of a similar reason but in most of the books it was the wrong fact based on TIA
@ABCDAnyBodyCanDo4 жыл бұрын
It was not wrong mam. Both the explanations are correct. TIR is a practical explanation whereas this is theoretical explanation.
@subhadipbardhan97114 жыл бұрын
Its bending can be explained by considering huygens principle i.e each point on wavefront behaves like point source.
@ICSECHEMISTRY9994 жыл бұрын
Very nice doubt clearing class.
@suryaterror52575 жыл бұрын
Sir , with all due respect, can you please make a video on the transverse nature of light..
@swastikkanjilal28294 жыл бұрын
Sir I hope that as n is increasing, it may not increase as a linear function of x it may increase on the x^p here, where p is any positive real number?...
@asishbauri74334 жыл бұрын
See since Alpha is very small so we can consider linear variation
@trsomas3 жыл бұрын
Even if it is varying some other way, if n is continuously varying, then ITR cannot be correct explanation for mirage.
@dhanucreations8443 жыл бұрын
I also have some doubts sir...how do I send them to you? please share mail id or some link
@anuragdwivedi25054 жыл бұрын
Sir this is clear but why in desert we see a fake water like thing instead of image of a tree
@vicky97904 жыл бұрын
Cloud's also undergo total internal reflection so we see clouds image(look like water) in ground
@StudyPhysics20204 жыл бұрын
Sir , when light comes in water from air then its wavelength change but the colour is not change. While different wavelengths have different colours.
@shambhuyadav2124 жыл бұрын
wavelength never change s only speed changes
@soumikdhole25233 жыл бұрын
@@shambhuyadav212 no. Both wavelength and speed changes. But the frequency remains constant. Speed of Light (in any medium) = frequency of the light wave multiplied with its wavelength.
@soumallyabanerjee2213 жыл бұрын
Thank you sir this excellent explanation.
@r.kakelaofyou20164 жыл бұрын
Very good conseft.
@tanishq3148 ай бұрын
Plz sim make all video jee advance and jee mains
@Phy390 Жыл бұрын
for image formation atleast two rays are needed but no one draws to rays to explain
@mrsbimkibanerjee72983 жыл бұрын
thank you sir this vid helped me a lot :)
@GS_Sindhu5 жыл бұрын
Thanks a lot sir for great explanation of mirage. I read books for physics written by you. My dream come true watching you and clearing my doubt
@vineetsingh1403 Жыл бұрын
Baba thanks
@prabhatyadav48482 жыл бұрын
4:47 in this how nsin theta is equal to constant.
@uditpratapsingh5555 жыл бұрын
Thanks ...Sir
@ashutoshrana82985 жыл бұрын
Sir. When we don't neglect the X^2 term and integrate . The equation we get takes only +ve values of Y. So it tells nothing about what happens after the point (0,0). Also it doesn't give two values of Y for single value of X
@trsomas4 жыл бұрын
As you can see, Prof H C Verma has taken vertical as the x axis. Suppose we take upward direction as the positive x axis. When the light ray is going down, then it is moving in the negative x direction. When it is going up, then it is moving in the positive x direction. Therefore, you have to solve the problem in two parts - one for the light ray going down and the other for the light ray going up. You will get one equation for x < 0 and the other for x > 0. If you plot them, you will get two curves. You will find that these two curves are symmetric with respect to the x axis.
@urbanbags55054 жыл бұрын
Awesome practical
@poojakasaudhan47262 жыл бұрын
Sir please make a video for class 10 all chapter of physics in deeply sir please make video
@black_jack_meghav5 жыл бұрын
Amazing.
@parveenchabra96814 жыл бұрын
Sir you have applied Snell law here but here refraction isn't taking place instead reflection of the light is taking place here. So why have you applied Snell law here?
@godson2004 жыл бұрын
Snells law is applicable for even reflection.. I dont know if it is written in any books or not.. But n2/n1=sini/sinr... Now, n2=n1 for reflection Therefore, sini=sinr i=r
@rajnisingh22324 жыл бұрын
Very good morning dear sir , Just needed to mention that the output of differentiation obtained is incorrect and so wrong is the integration ' s output obtained . Even the correct output does not resembles to any sort of parabolic equation. It is = -1 -------------- a( (ax)^2 + 2axc )^1/2 Where a =alpha C = n subscript o
@bipinmaurya38245 жыл бұрын
Thanks sir
@RahulKumar-st9ys Жыл бұрын
That 10th class student thinking what this differentiation and Integration is!😂 just kidding though!
@manuj65665 жыл бұрын
Is it compulsory that angle of incidence has to be equal to 90°,it could be something else..........
@sadiqueabdullah5744 жыл бұрын
mai bhi yahi soch raha ho??
@manuj65664 жыл бұрын
@@sadiqueabdullah574 and it is explained that it will not bend continuesly to to make parabolic path,but because of continues change in refractive index,it can bend continuesly.......
@sadiqueabdullah5744 жыл бұрын
exactly iska jawaab kya hai
@clashott43724 жыл бұрын
yes, at some point to form mirage the ray has to tbe parallel to the bottom most layer and hence incident angle will be 90
@SaiAbitathaDUCIC4 жыл бұрын
Same question from one side
@NandalalDas2 жыл бұрын
Sir, but why angle i= angle r ? Angle r is angle of refraction, not reflection. As TIR is one type of refraction. ?
@NandalalDas2 жыл бұрын
Any one please explain
@Thephysicsplace3 жыл бұрын
Haliday resnik does not say mirage. Wikipedia does not say mirage
@narendratanty46043 жыл бұрын
Thank you so much sir
@black_jack_meghav4 жыл бұрын
Is it wrong that total internal reflection is the cause of mirage?
@keneki-kentouka56144 жыл бұрын
Not totally
@keneki-kentouka56144 жыл бұрын
It can be explained by snells law and even through TIR
@skmohiuddin32244 жыл бұрын
Sir, as you said, from mathematical point of view it's okey that the light ray will follow Snell's law and curvature of the path will be parabolic. But I didn't get it why light will turn back (the actual physical phenomena that causes the light to bend?)?
@ABCDAnyBodyCanDo4 жыл бұрын
It's Total internal reflection only
@santanuchatterjee6544 жыл бұрын
It is a great explanation, Sir. But I would like to clarify two points. 1) When you say n sin (theta) is constant, then once the ray becomes horizontal it should stay such as n is not changing anymore thus theta should remain 90 for the rest of the path. It should not bend again. 2) Snell's law is valid as long as light is traveling from one medium to another of different optical densities. But once the ray becomes horizontal, it travels in the same medium. So can we use Snell's law at that boundary?
@aeonian_harshul4 жыл бұрын
The catch is that TIR only occur at the lowest most point where incident ray becomes greater than critical angle which tends to be 90° as the ratio refractive index at that point and just below it is very minute, when you put it in calculator it comes out be like 0.999999. And when you take aSin of it you get critical angle about 89.8744°. Hence ray can only reflect by mechanism TIR after it has attained almost 90°. After reflecting a little, it again follws the parabolic pathway like it did to come to lowest most point.
@trsomas4 жыл бұрын
Yes. the light ray moves horizontally but it bends upward a little because of wave nature of light. The speed of the upper part of a wavefront is lower than the speed of the lower part. Because of this the upper part travels smaller distance in a given time than the lower part. This causes a light beam to bend. In order to understand mirage, we cannot ignore the wave nature of light (not even as an approximation).
@afifakimih88234 жыл бұрын
Beautiful explanation...!!
@rajptrakht20912 жыл бұрын
Sir apne to isse aur complex bana kar confuse kar diya mujhe 😅😅 Ab NCERT aasan lag rahi hai 😂
@joykumarchoudhury71973 жыл бұрын
90 at the bottom is not necessay, it has to be just greater than critical angle, so I think Sir has got this wrong, please check my proposition
@codernakul5 жыл бұрын
Sir plz make videos for class 11 refering your book CONCEPTS OF PHYSICS
@AdityaSingh-tg3pd3 жыл бұрын
Alakh Pandey sir ka channel check kar lete
@arpitatiwari16293 жыл бұрын
@@AdityaSingh-tg3pd he asked 2 years ago
@user-ns2hm2xj7y11 ай бұрын
Actually their is no real example of internal reflection, because their is a part of refraction also.
@himanshurawat36075 жыл бұрын
Sir plz explain- heat is a form of energy or mode of transfer of energy- its still confusing
@srinjoyeesutradhar79125 жыл бұрын
Heat is a physical quantity and itself a form of energy. But certain heated objects emit electomagenetic radiations(called heat waves in this case) which is a mode of transfer of energy.
@avnisharma44204 жыл бұрын
Heat is a mode of transfer of energy.
@jitendramisra7223 жыл бұрын
Great job
@vishnunavpute97472 жыл бұрын
Sir, नमस्कार Sorry first of all, Angle of incident ray will not reach upto 90 degrees but it will be reflected soon after critical angle.
@Flamyflake Жыл бұрын
Critical angle can be 90°
@Dwizzz.. Жыл бұрын
Legend get to know about TIR in 12th😂
@aanchalmaurya39633 жыл бұрын
Wow
@eminem47012 жыл бұрын
In simple words, Sir has considered critical angle to br 90° at "point" of turn which is only true if the two media have exactly same optical densities. So sir has considered the elemental(infinitesimal small) air-region at the point of turn, to have uniform optically density, but this is not exactly true bcz we know the air will be rearer below than above, though infinitesimally for elemental region, hence critical angle won't exactly be 90° which implies that at just before 90° TIR will indeed occur Also, i suppose, that the path won't be a perfect parabola🙄
@werolling104 жыл бұрын
Sir the angle is measured relative to perpendicular but why sir ? We can take the incident ray making an angle with surface rather than with normal
@rahulkumar-kv6jw3 жыл бұрын
Incident, refrecive ray and normal are always lies in same plane
@harishankarpatel29264 жыл бұрын
Sir I agree with parabolic path for which nsina=constant but this is equally applicable If light go straight with making angle 90 degree because still nsina=constant there then why they change their path
@rabunfc4 жыл бұрын
Sir I hope you have a great knowledge about your subject, then can you please explain how esters are formed in fruits.
@inderjitsingh37124 жыл бұрын
An Eye Opener for teachers too.
@kanadbamane12553 жыл бұрын
I am your great fan sir
@PrashantKumar-ki8bh5 жыл бұрын
Great explanation sir....👏👏👏 With all due respect i want to say something.... I think this kind of explanation will not help to the students of class 10.
@arabindodowary58805 жыл бұрын
Exactly
@black_jack_meghav5 жыл бұрын
But I'm in 10th and it IS damn Helpful to me.
@atulsrmcem5 жыл бұрын
concepts are not according to some class or standard. may a class 10 student will understand this in class 11, but the concept of mirage remains the same.
@SoumyajitMondal4 жыл бұрын
Even in 12 CBSE boards we have to write the reason as T.I.R though it may be wrong