Fermat's Principle to Snell's Law (Derivation)

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  • Опубліковано 11 вер 2024
  • Light has a peculiar property. When a light ray goes from one point to another, it travels via the path that takes the least amount of time. This is known as Fermat's Principle. Or, Principle of Least time.
    The Fermat's Principle can be used to explain why light bends as it goes from one medium to another. It can be used to prove the Snell's Law which gives the relationship between angle of incidence and angle of refraction.
    In this video I discuss these above things.
    Interested in moreeeeee....?
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    1. The Simple Pendulum is not so Simple - • It's NOT so Simple: P...
    2. The Chaos of the Double Pendulum - • The Chaos of Double Pe...
    3. The Double Pendulum as Coupled Oscillator - • Double Pendulum as Cou...
    4. The Coupled Pendulum (Normal Modes) - • The Love Affair of "Co...
    5. Coupled Oscillators (Normal Modes/ Frequencies) • The Dance of Coupled O...
    6. Damped Harmonic Oscillators - • The Physics of Damped ...
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    7. What if you fell through a TUNNEL through Earth - • PHYSICS PROBLEM: What ...
    8. BLOCK Stacking Problem (Very Interesting) - • How many Blocks can yo...
    9. Terminal Velocity (Force Equations) - • Why Objects reach Term...
    10. WELL OF DEATH - Physics Problem - • Well of Death - Mechan...
    11. Fermat's Principle to Snell's Law - • Fermat's Principle to ...
    ▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱
    PLAYLIST on Various Problems on MECHANICS
    • Problems in Mechanics
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КОМЕНТАРІ • 61

  • @randomkeyboardsmash
    @randomkeyboardsmash 3 роки тому +26

    Finally video with chalks and boards
    Is it only me or others also feel these videos are better than the one where he shows his computer screen?

    • @HimmatBording
      @HimmatBording 3 роки тому +3

      I just posted the same comment above and saw your comment. Lol

    • @unnati_hulke
      @unnati_hulke Рік тому

      I agreeee

  • @mahendramosalpuri8928
    @mahendramosalpuri8928 3 роки тому +20

    Your way of delivering content extremely effective and easily understandable thank you so much sir you are awesome

  • @bilalphysics4872
    @bilalphysics4872 3 роки тому +10

    Your explanation is quite unique...
    Please choose a series

  • @AnirbanMajumdar-ti9su
    @AnirbanMajumdar-ti9su 3 роки тому +8

    First of all, how you have taught nuclear and particle physics is just outstanding!! These lectures are very good to learn and understand physics.
    I have a demand that please make a series on details about Standard Model and Beyond Standard Model Phenomenology (Including Neutrino physics, dark matter physics, collider physics, lattice gauge theory etc) using QFT treatment. It will be really helpful to learn Standard Model from you

  • @surajpurohit467
    @surajpurohit467 3 роки тому +2

    Perfect physics teacher❣️❣️❣️

  • @davidgiambra874
    @davidgiambra874 2 роки тому +6

    On the right side of your equation, you wrote [(n2(L-x))/(c(sqrt[(L-x)^2+x^2]))]. I think that you meant to write [(n2(L-x))/(c(sqrt[(L-x)^2+(y2)^2]))]

  • @toastedsniper9248
    @toastedsniper9248 Рік тому +1

    Perfectly done and explained, I love your enthusiasm sir.

  • @chandanaprasad6258
    @chandanaprasad6258 Рік тому

    The most underrated channel on physics... stunning explanation

  • @justinkhanyadav226
    @justinkhanyadav226 2 роки тому +1

    BEAUTIFULLY EXPLAINED SIR

  • @doutormanhattan5680
    @doutormanhattan5680 Рік тому +2

    Great video.
    But there is a little mistake in the denominator (hypotenuse) in the right term. You used x² instead of y2².

  • @chanakyaprasad2118
    @chanakyaprasad2118 3 роки тому +1

    Your style of Chalk and talk is the best.............
    Please Please Do share your knowledge on competitive exams like CSIR NET.

  • @ankitnautiyal2568
    @ankitnautiyal2568 3 роки тому +2

    Great video. Appreciate the great service you are doing to make physics very very nicely.
    This video does explain how Fermats Principle implies Snell's law. Why light behaves like this is probably explained better through Huygen's wave theory.
    Requesting for a follow up video ☺️.
    Perhaps now at quantum level there might be some other theory which I have no idea about and it would be great if it can be covered.

  • @HimmatBording
    @HimmatBording 3 роки тому +3

    Sir keep us taught using this green Board. It looks so good like classroom.
    That digital marker and digital board doesn't feel like that.

  • @ebutuoy201102
    @ebutuoy201102 3 роки тому

    Love it!, you are the best physics teacher I have met

  • @chinnagunttilakshmikanth9116

    Really ur rockstar of physics what an explanation sir... Really awesome

  • @manansharma9164
    @manansharma9164 3 роки тому +2

    Sir is on blackboard again!

  • @rajatverma3931
    @rajatverma3931 3 роки тому +2

    Finally chalk and board again!!!!!! 🔥🔥

  • @PhysicsFunwithDharmeshKareliya
    @PhysicsFunwithDharmeshKareliya 3 роки тому

    I was exploring answer of the question why light is in hurry. And it's still a question. By the way your video are always good.

  • @ajayshukla7773
    @ajayshukla7773 3 роки тому +1

    Amazing session

  • @prateeksharma6756
    @prateeksharma6756 2 роки тому

    Beautiful proof

  • @physicsvideos6394
    @physicsvideos6394 3 роки тому +2

    Sir I saw your nuclear physics videos . Can you suggest a book ? Please

  • @joseftrojan7664
    @joseftrojan7664 3 роки тому +1

    Thank you, sir!

  • @anandmohan9037
    @anandmohan9037 2 роки тому +1

    Sir, Pl clear these doubts
    [A (1) How you fixed Points A & B. ( 2) In the differentiation how you treated 'x' is variable and 'y' is Constant.
    [ B ] Pl. correct the second part where t= { 1st part } + { second part }*
    {C } it is a direct Result from REFRACTION EXPT of Glass SLAB.
    Why this much beating about the BUSH ???

  • @pablobryan4363
    @pablobryan4363 2 роки тому

    Thank you

  • @pardeepchhikara2170
    @pardeepchhikara2170 Рік тому

    thank you.

  • @srijanraman4361
    @srijanraman4361 3 роки тому +1

    Wasn't expecting that you will teach on blackboard these days. 🙏🙏🙏

  • @vishalmishra4081
    @vishalmishra4081 Місяць тому +1

    but how this derivation proves that light can take path which is not straight line

  • @ErichAmMeer
    @ErichAmMeer 2 роки тому

    Good job

  • @sciencefatcz669
    @sciencefatcz669 3 роки тому +1

    Sir , I want to talk to u.
    Any method?
    Please let me know sir🥺

  • @AmanDeepSingh-dd4uq
    @AmanDeepSingh-dd4uq 3 роки тому

    This also proves faster than light is possible and mass associated with that mass should be phase mass as quanta which depends opon probability.

  • @AbhishekAbhishek-tx7em
    @AbhishekAbhishek-tx7em Рік тому

    Thanks a lot sir. But in 9:21 we have considered theta 1 as n1, and theta 2 as n1. So it shouldn't be n2/n1 right...?

  • @user-rg5qr6zn9m
    @user-rg5qr6zn9m 3 роки тому

    Thank you sir

  • @gauravtambe824
    @gauravtambe824 3 роки тому

    Excellent Expain sir 👌👌

  • @ramadevisandireddy9821
    @ramadevisandireddy9821 3 роки тому

    nice explanation bro

  • @muhammadmehmoodahmadmalik4494
    @muhammadmehmoodahmadmalik4494 6 місяців тому

    Correction, on the LHS, it is y^2, not x^2.

  • @rakshith4751
    @rakshith4751 3 роки тому

    never thought of it that way

  • @TANUJKUMARPandey9999
    @TANUJKUMARPandey9999 Рік тому

    7:11- the (x)^2 is actually (y2)^2

  • @tiruveediveeraraghavulu4447
    @tiruveediveeraraghavulu4447 3 роки тому +2

    Sir i want asking you. Sir when you started jam new batch.. I am eagerly waithing your new batch for iit jam.............. Please tell me sir🙏🙏🙏🙏

  • @monk_47
    @monk_47 3 роки тому

    Sir, I have a question not related to this topic. I like the board you use for teaching. What material is it and where to get it from?

  • @AmanDeepSingh-dd4uq
    @AmanDeepSingh-dd4uq 3 роки тому

    As my prospective Hypothetical ether also exists in which light moves faster equivalent to Higgs field.

  • @Vishal-bz6vy
    @Vishal-bz6vy 3 роки тому +1

    Please do justice to this problem:
    Q) Two identical charged spheres suspended from a common point by two massless strings of lengths 𝒍, are initially at a distance d (𝒅≪𝒍) apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity 𝐯. Then 𝐯 varies as a function of the distance 𝐱 between the spheres, as:
    (a) 𝐯∝𝐱^(𝟏/𝟐) (b) 𝐯∝𝐱 (c) 𝐯∝𝐱^(− 𝟏/𝟐) (d) 𝐯∝𝐱^(−𝟏)
    Please bhaiya, do make a easy video on this, and please don't assume equilibrium instantaneously as everybody else does to solve this. Also please make this video 12th Grader friendly, don't use langrangian etc.
    Please please make a video explaining this problem in detail.

  • @MuhammadIsmail-oj3sj
    @MuhammadIsmail-oj3sj 3 роки тому +1

    Plz start optics lectures

  • @NRUSINGHAPRASADMAHAPATRA
    @NRUSINGHAPRASADMAHAPATRA 3 роки тому

    Thanks sir 😊🙏🙏

  • @abhijitshaw9431
    @abhijitshaw9431 3 роки тому

    Please upload video on tensor

  • @phyfix
    @phyfix 3 роки тому

    How do light know before entering to medium which is shortest path?

  • @info-hub457
    @info-hub457 Рік тому

    Correct me if i am wrong but shouldnt we incule 2ydy/dx as well because if you apply chain rule on 1/2(y^2+x^2)^1/2 we get an extra term which yiu didnt inculde why?

    • @Hostile2430
      @Hostile2430 Рік тому

      Derivative of y wrt x will be zero because y is not dependant on x only derivative of x terms will be there

  • @NarenderKumar-dp9te
    @NarenderKumar-dp9te 3 роки тому

    Sir if i want to prepare cris what shuould i do

  • @AmanVerma-vv2hc
    @AmanVerma-vv2hc 3 роки тому

    Sir poore youTube pe classical mechanics csir net ke liye karane vala koi nhi mila... Sir please aap kar dijiye

  • @harry-ho9ti
    @harry-ho9ti 3 роки тому

    SIr quantum mechanics ka perturbation theory padhaye pls.

  • @philosophyofreality1739
    @philosophyofreality1739 3 роки тому

    Sir, I am Dinuwara. I am still 15. I need to contact you directly to interrogate some questions. Can you please render me anything for that

  • @arnabkumardas8640
    @arnabkumardas8640 3 роки тому

    From Variational Calculus we know " If a particle will go to point A to point B, for the least time the path will be a cycloid" - which is known as the famous Brachistochrone Problem in Physics, but, in contrast when light goes from point A to point B light takes the path for which the time is minimum (generally, the Fermat's principle) and the path is straight line, not cycloid.. Why so? 🤔

    • @nobitanobi7069
      @nobitanobi7069 3 роки тому

      Consider watching 3blue1brown video on this .

    • @arnabkumardas8640
      @arnabkumardas8640 3 роки тому

      @@nobitanobi7069 give me the link of that video

    • @nobitanobi7069
      @nobitanobi7069 3 роки тому

      @@arnabkumardas8640 ua-cam.com/video/Cld0p3a43fU/v-deo.html

  • @globalcuber9816
    @globalcuber9816 3 роки тому

    Please check nimbus education
    He is also a great guy like you