Dynamics on rotating table

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  • Опубликовано: 25 дек 2024

Комментарии • 186

  • @niharagrawal7613
    @niharagrawal7613 2 года назад +593

    Thank you sir , thanks a lot 😀 for clearing my doubt 👍👍mazza aagya sir

  • @pankajsrivastava3893
    @pankajsrivastava3893 2 года назад +84

    Sir I am a student of AK Jha Sir in JRS Tutorials, Varanasi I want to tell you that your book is boon for every PMT and IIT aspirant. Our teachers respect you and we respect them. You are a living gem!

  • @audheshyadav922
    @audheshyadav922 Год назад +6

    teaching on green board.....huge respect sirji🙏🙏🙏🙏🙏🙏

  • @rounitkamal2832
    @rounitkamal2832 2 года назад +49

    This is how I understood it: -- first imagine yourself looking down on this rotating plate from top of the center. Draw the particle, the grove and the plate. At this instant name a poin A which is fixed on the grove and coincides with the particle at this instant. Now draw the velocity vectors of A and particle, which will be same here.
    -- now imagine dt time has passed, the grove has rotated by d(theta) and in this time the block will move by dx in the direction of the velocity it earlier had.
    -- now you might be a bit worried here for several reasons: thinking that the particle should rotate instead of going straight but there is no force or there component in that direction so that isn't possible.
    Also note that there would be some dx space between the particle and the groove walls between which this dx displacement has happened.

    • @vg.2946
      @vg.2946 2 года назад

      Thank you

    • @pushkarc28
      @pushkarc28 Год назад +1

      how can you say that the block will move in the direction of is velocity by distance dx. please elaborate that.

    • @lakshay7901
      @lakshay7901 Год назад

      Bro well tried but sense nahi ban rahi..

    • @adityaroy-zg8xw
      @adityaroy-zg8xw 7 месяцев назад

      Brother if it moved a dx distnace it's direction of velocity is changing that is w×r which is changing instantaneously

  • @DS_Gaurav
    @DS_Gaurav 2 года назад +7

    WoW 😲 learning from the legendary author of the book

  • @barnamoydas4760
    @barnamoydas4760 2 года назад +11

    Thank you both Nihar and Sir......🙏

  • @architpawar5344
    @architpawar5344 2 года назад +17

    Doubt cleared.. Fantastic explanation thank you sir❤️

  • @vinodabhyarthi9612
    @vinodabhyarthi9612 Год назад

    Bahut bahut badhai Congratulations 2 U Sir!
    Mobile ke karan aapko lecture dete hue concept of Physics ke work out Example ko explain Kiya.

  • @Dharmendra-h5f
    @Dharmendra-h5f 2 года назад +1

    Sir Your explaining Concept is very Simple

  • @VENOM-oz7ev
    @VENOM-oz7ev 2 года назад +73

    Noone can beat his legacy

    • @VENOM-oz7ev
      @VENOM-oz7ev 2 года назад

      @@AamAadmiSamajwadiParty Shankar kalal

    • @qwerty_1029
      @qwerty_1029 2 года назад

      @@AamAadmiSamajwadiParty yup bro🤣🤣

    • @prabhatsingh6124
      @prabhatsingh6124 2 года назад

      @@VENOM-oz7ev Venom rahim

    • @VENOM-oz7ev
      @VENOM-oz7ev 2 года назад

      @@prabhatsingh6124
      Prabhat bhabhi bsdk kuch bola tereko mene?

  • @RatanDas-ve4rq
    @RatanDas-ve4rq 8 месяцев назад

    This video is truly a treasure of mathematics(it contains extremely valuable details).

  • @ayyshman579
    @ayyshman579 2 года назад +7

    You are the boss of physics ⚛️

  • @rik_77
    @rik_77 2 года назад +5

    Legend OF PHYSICS EVER HC VERMA SIR!

  • @anshsharma9520
    @anshsharma9520 2 года назад +11

    Such a humble teacher

  • @vikramvilla
    @vikramvilla 2 года назад +18

    The basic doubt here is about the frame of reference. If one looks at a particle on the rotating table in grounds frame, it shall not be radially outward only (as it is rotating). Also, there will be various other forces (forces and reaction on the groove). In that case ,ball moving in the groove carries no meaning if watched from grounds frame.

    • @lakshay7901
      @lakshay7901 Год назад +1

      Yup, but if imagine the path that it would take about the axis, it would look kind of spiralling outwards, with increasing tangential linear velocity and also the outward velocity along groove.

  • @srishdevtiwari3460
    @srishdevtiwari3460 2 года назад +4

    Imagine sir teaching you face to face.. wow

  • @athvii
    @athvii 2 года назад +7

    I had the same doubt sir but now its totally clear thank you soo much

  • @randomrides671
    @randomrides671 2 года назад

    I slept on your book as, pillow during my school days, interestingly I was interested in solving ur questions no matter board exams were of different subjects next day #livinglegend

  • @playboyxoxo3321
    @playboyxoxo3321 2 года назад +1

    Sir l like your Hair style 🤩😘🔥😎🥳

  • @Vinaysharma-pj4iz
    @Vinaysharma-pj4iz 2 года назад +3

    Sir apke book me drift velocity [eE/2m]×tau hai par teachers eE/m × tou krwa rhe h please btaiye sir 🙏🙏🙏🙏🙏

  • @aniksajib69
    @aniksajib69 Год назад +1

    Boss.Love you sir.💕

  • @amitabhanand12
    @amitabhanand12 2 года назад +4

    Sir where can I send you my question. And in what format?

  • @AneekSengupta
    @AneekSengupta 20 дней назад

    That's a really appreciated explanation sir. But my doubt is if no force acts on it from the ground frame, can you please enlighten me how there is an increase in kinetic energy of the ball because if there is no force acting on the ball from ground frame, there should be no work done on the ball and hence there should not be change in kinetic energy. Lots of love and respect to you Sir.

  • @AK56fire
    @AK56fire 2 года назад +15

    If Sir had explained in more detail, it would have been better. Sir said that even though the particle in the groove is moving away in the groove, no force is acting on it, when seen from the Ground frame. This needs to be elaborated more.

    • @rounitkamal2832
      @rounitkamal2832 2 года назад +1

      I understood why it was by drawing diagrams of this phenomena:
      -- first imagine yourself looking down on this rotating plate from top of the center. Draw the particle, the grove and the plate. At this instant name a poin A which is fixed on the grove and coincides with the particle at this instant. Now draw the velocity vectors of A and particle, which will be same here.
      -- now imagine dt time has passed, the grove has rotated by d(theta) and in this time the block will move by dx in the direction of the velocity it earlier had.
      -- now you might be a bit worried here for several reasons: thinking that the particle should rotate instead of going straight but there is no force or there component in that direction so that isn't possible.
      Also note that there would be some dx space between the particle and the groove walls between which this dx displacement has happened.
      --now after displacing particle by dx along its velocity which we drew earlier, we will draw the position of A
      -- A , which was coincident with particle earlier now won't be coinciding. The particle has went straight ahead by dx but the particle is constrained to rotate (since it is fixed with the groove wall).
      -- so after dt the particle would appear to have been separate from A i.e. slided radially in the groove.
      Now I think you understand what is happening now try to imagine why speed is increasing

    • @AK56fire
      @AK56fire 2 года назад +5

      @@rounitkamal2832 If possible, kindly draw the pic of your explanation on a paper, by saving it in google drive and pasting the link here.. It would be for the benefit of everyone.

    • @lakshay7901
      @lakshay7901 Год назад

      ​@@rounitkamal2832that's what he's asking that howcome particle is moving away from the center of the table along the groove, if there's no such force acting on it....??

    • @lakshay7901
      @lakshay7901 Год назад +1

      See bro, your question is absolutely intriguing..👍
      Now this statement that you mentioned that sir had said is absolutely confusing.
      Becoz howcome a body would accelerate in the direction where no force seems to be acting on it. Therefore there's surely a component of net force acting on the particle in the direction away from center along the groove which remains uncancelled that's why the body's accelerating radially outwards. I hope you're getting my point.
      Now not only is the body accelerating radially but also with the increasing radius (i.e. it's distance from the center), it's linear velocity around the axis is too rapidly increasing. If you just trynna imagine the path of the particle about the axis, it would appear to be spiralling outwards away from the center. So this actually shows that there's surely a net force which is driving the particle all the way along the groove to furthest positions away from center.
      Now this force is a result of the table spinning at a constant angular velocity about it's axis. This is what's causing a net force to act having an uncancelled component in the radially outward direction along groove as the walls of the groove are absolutely frictionless, this no resistance to the particle in moving outwards.

  • @jawedansari0786
    @jawedansari0786 2 года назад +4

    That Pseudo force is Equal to Normal reaction with groove that's the reason it being Stable

  • @abhisheksoni9774
    @abhisheksoni9774 2 года назад +2

    Nice explanation 👌

  • @chrajraaz
    @chrajraaz 2 года назад +13

    I am amazed that nobody is saying that the particle is moving in a flat spiral ,,, which is visible from all frames,, table or outer frame both... If you can understand this then you can understand all the forces working on it.
    I am surprized that Verma ji himself could not make any clear answer on it in the last part of this discussion.

    • @JohnDoe-wi6nq
      @JohnDoe-wi6nq Год назад +1

      Exactly in ground frame it's a flat spiral.
      He just mentioned the radial equation but didn't explain the answer.
      What it means is that, in radial direction acceleration is rate of (rate of change of r) and an -ve acceleration like gravity = w^2 r . Which is also called perceived gravity. But in this gravity objects falls outward.

    • @chrajraaz
      @chrajraaz Год назад

      @@JohnDoe-wi6nq wonderful..

  • @S-M-303
    @S-M-303 Год назад

    ❤❤❤❤❤❤❤concept of physics 🎉🎉🎉🎉🎉🎉🎉

  • @pranav_1224
    @pranav_1224 2 года назад +9

    Sir is there any force called coriolis force as we look it from rotating frame ???

    • @ThePhysicsTrain
      @ThePhysicsTrain 2 года назад +2

      Yes, there definitely there is a force called coriolis force (which by the way is a pseudo force). Search it on wikipedia.. Also, try to understand what happens when a military tank is fired or how sniper rifle's bullet traverses. Coriolis force makes them turn right or left defending upon which hemisphere it is traversing in. It's very interesting phenomenon.

    • @pranav_1224
      @pranav_1224 2 года назад

      @@ThePhysicsTrain thanks actually I am IIT JEE aspirant and I had met with some question involving the use of this force in Iit pyq

    • @iamalive2826
      @iamalive2826 2 года назад +1

      @@ThePhysicsTrain pseudo force is not real force it just used for calculations

    • @ThePhysicsTrain
      @ThePhysicsTrain 2 года назад +1

      @@iamalive2826 I understand that, that's why i had mentioned in my post above, that it's a pseudo force. When we observe a phenomena from non-inertial frame of reference, pseudo force is needed to explain the apparent motion. That is what i had meant when i wrote the above comment. Had i mentioned that there's no such thing as a coriolis force or centrifugal force on account of it being a non-real force, then that person would have thought.. hmm, then what is Sir talking about, and what is this whole page on wikipedia about titled "coriolis force or centrifugal force". So, to ease the acceptance of these concepts, it needs to be told in a way that becomes slightly less threatening or confusing to the viewer. Once he/she has understood those concepts, then he/she would be willing to see the difference between a real force and a pseudo force. However, in order to prevent any confusion, in the first line itself, in my original post, i did mention that it is a pseudo force, so as not to imply that it is a real force. I hope this clears my point of view.

    • @iamalive2826
      @iamalive2826 2 года назад

      @@ThePhysicsTrain just never see things in non inertial frame😁

  • @playboyxoxo3321
    @playboyxoxo3321 2 года назад

    I am your biggest fan 🙏🥺💖

  • @sidddd9511
    @sidddd9511 2 года назад +2

    Sir hcv verma book is enough for jee advance please reply me sir🙏🙏

  • @arpitchauhan2147
    @arpitchauhan2147 8 месяцев назад

    That's all what I needed😊

  • @anirbanbhatta2294
    @anirbanbhatta2294 2 года назад +6

    Sir I am unable to solve this question which is given in your book from the chapter 'Centre of Mass'.
    ' A square plate of edge d and a circular disc of diameter d are placed touching each other at the midpoint of an edge of the plate. Locate the centre of mass of the combination, assuming same mass per unit area of the same plates

    • @Trolex6969
      @Trolex6969 2 года назад

      It will be inside the square plate only. As You know that for a system of bodies, COM lies towards the heavy body. So when you calculate the area of square, you will get (d²) while for the Circular disc, it will be πd²/4 if its thickness is neglected. So on comparing both the values, you will find that the value of coefficient of d² i.e. π/4 is

    • @Shitai-4ever
      @Shitai-4ever 2 года назад

      There is formula for this I think
      Xcordinate of COM=
      A1×X1 + A2×X2/X1+X2
      Where A1 and A2 ara of each shape
      X1 and X2 xcordinate COM of respective shape.
      Same formula for y cordinate

    • @lakshay7901
      @lakshay7901 Год назад

      ​@@Shitai-4everyup you are right but the formula is slightly incorrect.
      X- coordinate of COM = {(A1×X1) + (A2×X2)}/(A1+A2)
      Where : A1 and A2 are the areas of square and circular plate respectively.
      X1 and X2 are the the X-Coordinates of their respective Geometric centres which are their own center of masses.

    • @lakshay7901
      @lakshay7901 Год назад

      ​@@Trolex6969yes, it will be slightly left to the point at which circular plate touches the square plate, if the square plate is left to circular plate. And it will lie on the line joining their geometric centers as their mass density is the same.

  • @dileepmaroju8057
    @dileepmaroju8057 Год назад

    Since time isnt involved, This could also be solved using conservation of Energy in a single step without the need of calculus. Intital rotational KE of the particle = final translational and rotational energy of the particle together. Although the classical approach by professor can be used even in the presence of a non conservative force. I always encourage my students to check for the feasibility of conservation priciples as long as time isnt involved

    • @MaheshKumar-lx1ku
      @MaheshKumar-lx1ku 10 месяцев назад

      Please give initial equation of conservation of energy

  • @siberianhunter8082
    @siberianhunter8082 2 месяца назад

    Thank you sir i was also having this as a doubt

  • @ShubhamPatel-jw9tf
    @ShubhamPatel-jw9tf 2 года назад +1

    Thank you sir maaza aa gaya
    H. C sir
    Panka

  • @thenexusvibe
    @thenexusvibe 2 года назад

    Nice hairstyle sir very unique

  • @gyanprakashraj4062
    @gyanprakashraj4062 2 года назад

    Good chela MERAA.. ✌✌✌

  • @_mayank_trivedi
    @_mayank_trivedi 2 года назад +9

    Sir, this means force is not the cause of motion ....but that change the whole perception of newtonian physics @HCverma

    • @athvii
      @athvii 2 года назад +1

      force is never cause of motion its the cause of change in motion

    • @_mayank_trivedi
      @_mayank_trivedi 2 года назад

      @@athvii that's the same thing...!

    • @athvii
      @athvii 2 года назад

      @@_mayank_trivedi nah

    • @athvii
      @athvii 2 года назад

      @@_mayank_trivedi Even if an object is at rest it needs a Force To CHANGE Its state of motion
      the object is already in motion in which it has zero velocity

    • @_mayank_trivedi
      @_mayank_trivedi 2 года назад

      @@athvii how earth is moving around the sun?

  • @KhushiKumari-bt7yu
    @KhushiKumari-bt7yu Год назад

    Respected sir,
    How a car move on 90 degree road is the noraml reaction help to move because i think mg is balanced by friction

  • @Agrahari999manas
    @Agrahari999manas 2 года назад +1

    Sir🙏 Please Eak baar Magnetic field ke bare me samjha dijiye. Class 10 in UP🙏🙏

  • @shivankshrivastava
    @shivankshrivastava 7 месяцев назад

    This questions can also be done by WET
    when in frame of rotation.

  • @studying978
    @studying978 2 года назад

    Gravity make by which particle?

  • @NLPvcreater
    @NLPvcreater 2 года назад +1

    Sir physics ko kaise samjhen ki physics asan lage

  • @Monojeetroy04
    @Monojeetroy04 2 года назад +1

    Nice explanation sir 😍

  • @Surajgupta12032
    @Surajgupta12032 2 года назад

    Today first mst sir

  • @abhishekbhatt1234
    @abhishekbhatt1234 2 года назад

    Sir if we put a charge in vaccum and apply magnetic field on it what will be force on it and ive some other intresting concepts about it

  • @shivanshutiwari2757
    @shivanshutiwari2757 2 года назад +1

    Sir when you will release bhautiki ki samajh part 2.? Please tell

  • @KaranSirInfoTech
    @KaranSirInfoTech 2 года назад +1

    Long Hair... Looking adorable

  • @archetype1win
    @archetype1win 2 года назад

    Sir is there any tangential for acting on it...?

  • @Nikhilkumar-on8vg
    @Nikhilkumar-on8vg 2 года назад +4

    The thing is in ground frame the ball will not just be moving out radially.
    Am I right?

  • @sachinrajpandey5242
    @sachinrajpandey5242 Год назад

    Centrifugal force is fictitious so how it is pushing the ball outwards in the rotating frame. Please explain Sir.

    • @varadpawar4241
      @varadpawar4241 3 месяца назад

      Same doubt, did you get it cleared?? I also want to ask ki centrifugal force is a type of fake force.. So what makes the ball actually move outwards

    • @sachinrajpandey5242
      @sachinrajpandey5242 3 месяца назад

      @@varadpawar4241 till now no.

  • @adarasharya1816
    @adarasharya1816 7 месяцев назад

    Respected sir
    From ground frame there is no force but still partical moves. It is evident from the fact that after one complete rotation its x coordinate has changed. Is this because earth is itself non inertial although the non inertiality is much less . Ground frame which we are considering is itself non inertial and the movement of particle in ground frame is due to pseudo forces like corriolis force

  • @KRISHNAKANT-l9k
    @KRISHNAKANT-l9k Год назад

    very nice viedo

  • @learnfromnature3975
    @learnfromnature3975 2 года назад

    Sir why dipole moment direction is from negative to positive

  • @RishabhSingh-lb4lk
    @RishabhSingh-lb4lk 2 года назад +1

    Hii love from mubai sirr ji

  • @Vivekvivo00
    @Vivekvivo00 Год назад +1

    I saw real Einstein ❤️❤️❤️

  • @anupkumar-oz6lj
    @anupkumar-oz6lj Год назад

    Hcv sir is a genious

  • @mohdmudassirkhan6153
    @mohdmudassirkhan6153 2 года назад +1

    we know that every object requires centripital force to move in cicular path
    But in this condition the particle is not getting any centripital force. So the particle will not move in circular path.
    And move outside the grove

    • @mohdmudassirkhan6153
      @mohdmudassirkhan6153 2 года назад +1

      Is my answer correct sir ?

    • @abhishekgadekar1473
      @abhishekgadekar1473 Год назад +1

      I think bro it is correct and ur logical is also correct here ❤❤❤

    • @pure8055
      @pure8055 Год назад

      samajh gaya ki particle circular motion nhi chalega magar uski speed bhad rhi hai mtlb accelaration toh hogi na wo acc. kiski wajeh se aa rhi hai batado plz

  • @danksourav
    @danksourav 2 года назад +1

    Thanks sir 😀

  • @hanurajkushwaha8130
    @hanurajkushwaha8130 2 года назад +5

    Sir app jee advanced level ki physics pada do youtube par maja aa jayega

    • @Trolex6969
      @Trolex6969 2 года назад

      PW ki challengers series dekh lo ek baar. Usme hai kaafi high level ke ques.

  • @SumanDevi-mo8uo
    @SumanDevi-mo8uo Год назад

    Sir bautiki ki samajh ka 2 vol publish kab hoga

  • @sidddd9511
    @sidddd9511 2 года назад

    Sir i am siddharth kumar from bihar ( darbangha ) sir please batadoon ki hcv verma book hai jee advance ke liye enough hai

  • @aj_tech456
    @aj_tech456 2 года назад

    Sir smooth table hai mtlb friction nahi hoga to koi force kaise aa sakti hai

    • @d_disa
      @d_disa Год назад

      Normal toh hoga

  • @sumitfuley503
    @sumitfuley503 2 года назад

    Yeah buddy 👍🏻

  • @siva..758
    @siva..758 2 года назад

    thank you sir😃

  • @alertaspirants3955
    @alertaspirants3955 2 года назад +2

    Jai hind sir I am Ravi
    I want to work on physics discover
    Please help me

  • @rajeevkumarupadhyay6707
    @rajeevkumarupadhyay6707 2 года назад

    Sir, coriolis acceleration par ek video banaiye

  • @himanshukumar8881
    @himanshukumar8881 2 года назад +2

    Respected sir in this question what is difference between rotating table frame and ground frame?

  • @advitiya7781
    @advitiya7781 2 года назад +3

    I am a ca student having economics exam tomorrow.....i don't know why the hell I am watching this but enjoying at the same time though I am not able to understand a single word

  • @vinodbansal9261
    @vinodbansal9261 2 года назад

    Sir please have a meet series with Sandeep Maheshwari sir

  • @ayush0383
    @ayush0383 Год назад

    Sir aapne ye saare que bnaya haj phir aap dekh dekh kr kyu pdh rhe hai ?

  • @sankalp00777
    @sankalp00777 2 года назад +1

    Sir .
    Which type of force attract towards centre of Earth💯💯💯💯💯💯💯💯💯💯💯💯💯💯

  • @AbhishekKumar-ol2pb
    @AbhishekKumar-ol2pb 2 года назад

    Proud of bihar

  • @duchserver3110
    @duchserver3110 2 года назад +3

    Sir big fan

  • @V__K__VINES
    @V__K__VINES 2 года назад

    Sir please tell me a topic of law of inertia

  • @ShauryaShukla76
    @ShauryaShukla76 2 года назад

    He is so lucky that he got his dought cleard by onerable hc verma sir

  • @UCbro
    @UCbro 2 года назад

    Sir i have mailed you but not getting any response on my query.

  • @mahakaggarwal7982
    @mahakaggarwal7982 Год назад

    Looks like a beautiful ravan

  • @rajnarayansah01
    @rajnarayansah01 2 года назад

    Great.hlo

  • @ashfaq6936
    @ashfaq6936 2 года назад +1

    Sir physics ka sab numerical solve nahi hota ,jo topic padh liye uske baad bhi physics ka numerical nahi banta

    • @ThePhysicsTrain
      @ThePhysicsTrain 2 года назад

      Practice makes a man perfect. Setup your mind for hard and consistent work.

  • @jigyansudash5403
    @jigyansudash5403 2 года назад

    A guess the particle from ground frame moves in a straight line

  • @borntoachieveyt7419
    @borntoachieveyt7419 2 года назад

    Sir plz explain why sky is blue

  • @AyushYadav-qr5pd
    @AyushYadav-qr5pd 11 месяцев назад

    JEE adv 2016 question on same concept

  • @justfun346
    @justfun346 2 года назад

    👍👍👍👌👌👌👌

  • @abhishekmishra7239
    @abhishekmishra7239 2 года назад

    Sir pl aap hindi me hi padhaye jisse ki hindi medium aur english medium dono ko fyda ho

  • @iittonikalnahihaii6691
    @iittonikalnahihaii6691 2 года назад +1

    Sir can u please make lectures on some of the imp topics from physics of high school 🙏🙏

  • @Sakib35674
    @Sakib35674 2 года назад +1

    👍

  • @ramanidharan3201
    @ramanidharan3201 2 года назад +1

    Sir we are from south india we couldn't understand Hindi could you speak in English sir

  • @AmarYadav-mo8mi
    @AmarYadav-mo8mi 2 года назад

    Sir please explain point charge

  • @SoniDevi-jv1re
    @SoniDevi-jv1re 2 года назад

    HC verma sir a
    How to solve hc verma difficultie type question sir please advice sir

  • @AnkushKumar-br2up
    @AnkushKumar-br2up 2 года назад +1

    sir aap jee ke jiye ek coaching start Karo❤️❤️❤️❤️❤️

  • @ross5050
    @ross5050 Год назад +2

    I am student of Prateek Jain sir for IIT-JEE. Prateek sir tells us sometimes how HC Verma sir encouraged him in Physics while he was doing research work with Verma sir.

  • @sundramrajpoot8411
    @sundramrajpoot8411 2 года назад

    Sir please explain us about impulse

  • @sanatani___ladki
    @sanatani___ladki 2 года назад

    ❤️❤️

  • @aadii_tya
    @aadii_tya 2 года назад

    Ye question Maine kiya hai.

  • @NikhilSharma-ve4fl
    @NikhilSharma-ve4fl Год назад

    9:40 to 11:37 ,crux of video

  • @ahadabbas9567
    @ahadabbas9567 Месяц назад +1

    This came in jee 2024

  • @rana000
    @rana000 2 года назад

    Here just almost 33 comments I think they all are most beautiful mind

  • @sidddd9511
    @sidddd9511 2 года назад

    Sir hcv verma centre of mass killing question no. 61 aur 60 Batadige