GRAVITATION in ONE SHOT || ALL Concepts , Formulae, Shortcuts , PYQs|| NEET Physics Crash Course

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  • Опубликовано: 1 фев 2025

Комментарии • 6 тыс.

  • @PW-NEETWallah
    @PW-NEETWallah  3 года назад +3747

    There are two mistakes , I want to apologise for both.
    1) 6:51:00 I wrongly quoted that angle between r vector and v vector is 90 degree everywhere. It's only at aphelion and periphelion. To knpw in detail watch my detailed video on kepler law ruclips.net/video/nlxExEAqmaM/видео.html at 40: 50
    2) Further I told the formula of latus rectum wrong. It must be 2bsquare/a

    • @sorcerer1439
      @sorcerer1439 3 года назад +244

      sir jo bacche dyan de rahe the unko samajh me aya tha ... kyu ki aap mere role model ho :-)

    • @sahijankari75
      @sahijankari75 3 года назад +123

      Sir my boards were cancelled, and I started preparing neet,
      But i think I need more time,
      But I wanna give exam before joining any 2022 batch,
      But you started yakeen 2022 early,
      So I want to ask will futher neet batches launched after neet exam

    • @omramchandani
      @omramchandani 3 года назад +21

      👍

    • @kunal6014
      @kunal6014 3 года назад +157

      Sir u did a very big mistake and only few students have seen this pinned msg. I m worried about those students who haven't seen this msg and noted those wrong formulae in thein notebook.🙄😱

    • @muskan2558
      @muskan2558 3 года назад +18

      Thankyou so much sir👍🙏

  • @Muskan-qv4pc
    @Muskan-qv4pc 2 года назад +1857

    2:29 newton law of gravitation
    8:45 question
    25:25 principal of superposition
    26:34 question
    36:04 force on symmetrical mass distribution
    37:08 force on mass in hollow sphere
    44:03 gravitational field
    47:00 gravitational field due to point mass
    48:00 principal of superposition
    49:23 questions
    1:14:40 gravitational field due to continuous mass distribution
    1:16:28 question
    1:30:16 question
    1:36:01 note
    1:44:33 GF due to UCR at point on axis
    1:49:39 graph of E v/s R
    1:53:14 break 1
    2:04:04 GF due to Uniform spherical shell
    2:10:33 GF due to solid sphere
    2:19:12 question
    2:20:12 Acceleration due to gravity near earth surface
    2:24:51 Acceleration due to gravity near earth surface in terms of density
    2:28:02 question
    2:47:08 variation in Acceleration due to gravity
    2:55:15 question
    3:00:28 at depth h below earth surface
    3:05:46 question
    3:11:43 variation of g with distance r from earth's center
    3:16:15 question
    3:16:54 variation in g due to shape of earth
    3:19:33 variation in g due to axial rotation of earth
    3:25:22 note
    3:27:34 question
    3:33:23 gravitational potential
    3:35:53 question
    3:37:21 potential at a point
    3:39:16 gravitational potential due to a point mass
    3:40:05 GP due to system of point mass
    3:40:29 question
    3:46:51 GP on the axis of uniform circular ring
    3:48:05 GP due to hollow sphere
    3:52:52 break 2
    4:04:04 question
    4:13:03 GP due to solid sphere
    4:15:39 relation between V at center and V at surface
    4:19:36 question
    4:20:34 relation between gravitation field and gravitational potential
    4:22:22 question
    4:29:59 gravitational potential energy
    4:31:42 GP energy of two particle system
    4:32:59 GP energy for system of particle
    4:33:49 question
    4:40:58 GP energy of an object due to earth
    4:47:17 question
    5:04:55 Escape velocity
    5:13:14 escape velocity from some height
    5:17:17 question
    5:23:06 important points
    5:28:43 question
    5:32:57 break 3
    5:44:31 orbital velocity of satellite
    5:46:10 question
    5:47:35 if satellite is revolving close to earth
    5:49:19 question
    5:49:59 time period of revolution of satellite
    5:56:17 geostationary satellite
    5:59:03 question
    6:07:11 energy of satellite
    6:23:03 ellipse
    6:30:15 CORECTION ** FORMULA OF LATUS RECTUM 2b^2/a
    6:31:37 kepler 1st law
    6:39:50 kepler 2nd law
    6:46:20 question
    6:48:08 aerial velocity in terms of angular momentum
    6:57:52 velocity of planet at perigee and apogee
    7:00:48 question
    7:07:29 kepler 3rd law
    7:09:38 question

  • @suyash2106
    @suyash2106 3 года назад +674

    TIMESTAMP ⌚
    0:00 Introduction
    2:15 Newton's Law of Gravitation
    25:17 Principle of Superposition of Gravitational Forces
    36:22 Force on a Mass at Centre of Symmetrical Mass Distribution
    43:18 Gravitational Field
    46:52 Gravitational Field Due to a Point Mass
    48:05 Principle of Superposition
    1:14:31 Gravitational Field Due to Continuous Mass Distribution
    1:30:17 Force on a Mass in Gravitational Field
    1:44:31 Gravitational Field Due to a Uniform Circular Ring at a Point on the Axis
    1:53:52 Gravitational Field Due to a Uniform Spherical Shell
    2:10:32 Gravitational Field Due to a Solid Sphere
    2:20:18 Acceleration Due to Gravity of Earth Near Earth Surface
    2:47:08 Variantion in Acceleration Due to Gravity
    3:33:20 Gravitational Potential
    3:46:56 Gravitational Potential on the Axis of a Uniform Circular Ring
    3:48:06 Gravitational Potential Due to a Hollow Sphere
    4:13:02 Gravitational Potential Due to a Solid Sphere
    4:29:58 Gravitational Potential Energy
    5:04:50 Escape Velocity
    5:32:53 Orbital Velocity
    5:49:58 Time Period of Revolution of Satellite
    5:56:18 Geostationary Satellite
    6:07:10 Energy of Satellite
    3:19:59 Weightlessness in a Satellite
    6:23:05 Ellipse
    6:31:36 Kepler's Laws
    6:48:06 Angular Momentum of a Planet About Sun
    6:55:38 Area Velocity in Terms of Angular Momentum
    6:57:52 Velocity of a Planet at Perigee and Apogee

  • @kuko3344
    @kuko3344 3 года назад +5677

    Others: Detailed lecture
    Reality: Crash course
    PW: Crash course 😎
    Reality: Detailed lecture 🔥🔥

    • @jiyayadav8730
      @jiyayadav8730 3 года назад +46

      Trueee

    • @mayankpandey5079
      @mayankpandey5079 3 года назад +22

      Yess

    • @kuko3344
      @kuko3344 3 года назад +48

      @Ananya Sharma yes you can but please practice more and more questions as much you can and this is the best time to revise 11th bcoz you don't have that much burden of 12th so utilise this time🙂
      All the best 👍🏻

    • @सम्राट-द6य
      @सम्राट-द6य 3 года назад +16

      @Ananya Sharma no
      Its neet
      Not jee advanced/mains

    • @सम्राट-द6य
      @सम्राट-द6य 3 года назад +2

      @Ananya Sharma ruclips.net/p/PLYVDsiuOZP5p36rWJbRL8xJrncratOW3r

  • @prasadnimbal
    @prasadnimbal 3 года назад +5218

    The Real Record will be created when the NEET 2021 results will be announced, maximum number of selections from PW this year🔥🔥💯💯

    • @yashrajsinghgonda
      @yashrajsinghgonda 3 года назад +4

      ruclips.net/p/PLUK6ULQgFO5N2frRqmEkEZmJEFsfU1sou

    • @sahilarya8399
      @sahilarya8399 3 года назад +111

      Lamo noonb allen carrier institution

    • @suyashbhardwajpathak5520
      @suyashbhardwajpathak5520 3 года назад +216

      @@sahilarya8399 aagaya compare karne
      Abey pagal agar positivity spread nhi Kar sakta toh hate kyun spread Kar Raha hai bey

    • @amansharma7287
      @amansharma7287 3 года назад +73

      @@sahilarya8399 Allen me itne bachhe bhi hai😂

    • @prasadnimbal
      @prasadnimbal 3 года назад +82

      @@godson200 Let's see😎 But PWians will Rock Surely 🔥🔥

  • @yashwanthkommasani669
    @yashwanthkommasani669 3 года назад +678

    Good luck to everyone who will now watch it on recorded

    • @mursaleen6874
      @mursaleen6874 3 года назад +3

      ruclips.net/user/shortsrBFX2hGKLD0?feature=share

    • @namotivation4427
      @namotivation4427 3 года назад +36

      Ysss
      I m that girl
      Btt i feel pleased to see recorded lectures rather than live😊
      So i don't hve problem in watching even such a big lecture😎
      Now,I got habitual to it😜

    • @tinaa11111
      @tinaa11111 3 года назад +2

      @@namotivation4427 are you making notes also😶😶

    • @namotivation4427
      @namotivation4427 3 года назад +14

      @@tinaa11111 Yss
      I had made notes of each & every previous lecture of umeed batch by myself
      Although,it's not 1st time i m doing this
      I had filled up many registers
      As it's makes me satisfy that i hve understood the concept...

    • @tinaa11111
      @tinaa11111 3 года назад +3

      @@namotivation4427 how much time it's taking to watch lectures and make notes😶😶😶

  • @smarandas6688
    @smarandas6688 3 года назад +1707

    why these concepts can't understand when it were taught in coaching centers (taking lakhs of money)........but we can understand everything which were taught by "Alakh sir" (everything is free).....because "Alakh sir" teaches from heart and make feel in that concept.......
    THANK YOU VERY MUCH.....keep continuing sir.....

    • @bhavanavijayan7870
      @bhavanavijayan7870 3 года назад +10

      True😍🙇🏻‍♀️

    • @nitya7990
      @nitya7990 3 года назад +35

      Bas ham sir ki mehnat ko barbad nhi jane denge aur selection leke pw ko aage leke jayenge❤️❤️

    • @smarandas6688
      @smarandas6688 3 года назад +4

      @@nitya7990 ya, we should, we will....

    • @ARKGamerYt
      @ARKGamerYt 3 года назад +5

      @Anant Singh true

    • @smarandas6688
      @smarandas6688 3 года назад +9

      @Anant Singh ya, you are true...."but alakh sir giving quality education for free".....but I am not blaming coaching instutions....but they are taking lakhs of money for education, these is not correct na bro..

  • @ParthZXR876
    @ParthZXR876 3 года назад +192

    This series was made for the dropper but utilised by the class 11th neet aspirants

    • @NEETily-
      @NEETily- 2 года назад +4

      Yes true bhaiya

    • @naughtyboyboy4031
      @naughtyboyboy4031 Год назад +1

      true af 😅

    • @renai96
      @renai96 4 месяца назад +4

      fr this is so goddam helpful for school exams and in long term - NEET

    • @aasiyafirdaus9362
      @aasiyafirdaus9362 Месяц назад +2

      I'm also in 11th and studying here.

  • @umangkr7800
    @umangkr7800 3 года назад +616

    The only thing that keep me here is GRAVITY 🔥

  • @DhruvDawar
    @DhruvDawar 3 года назад +42

    0:00 Introduction
    2:15 Newton's Law of Gravitation
    25:17 Principle of Superposition of Gravitational Forces
    36:22 Force on a Mass at Centre of Symmetrical Mass Distribution
    43:18 Gravitational Field
    46:52 Gravitational Field Due to a Point Mass
    48:05 Principle of Superposition
    1:14:31 Gravitational Field Due to Continuous Mass Distribution
    1:30:17 Force on a Mass in Gravitational Field
    1:44:31 Gravitational Field Due to a Uniform Circular Ring at a Point on the Axis
    1:53:52 Gravitational Field Due to a Uniform Spherical Shell
    2:10:32 Gravitational Field Due to a Solid Sphere
    2:20:18 Acceleration Due to Gravity of Earth Near Earth Surface
    2:47:08 Variantion in Acceleration Due to Gravity
    3:33:20 Gravitational Potential
    3:46:56 Gravitational Potential on the Axis of a Uniform Circular Ring
    3:48:06 Gravitational Potential Due to a Hollow Sphere
    4:13:02 Gravitational Potential Due to a Solid Sphere
    4:29:58 Gravitational Potential Energy
    5:04:50 Escape Velocity
    5:32:53 Orbital Velocity
    5:49:58 Time Period of Revolution of Satellite
    5:56:18 Geostationary Satellite
    6:07:10 Energy of Satellite
    3:19:59 Weightlessness in a Satellite
    6:23:05 Ellipse
    6:31:36 Kepler's Laws
    6:48:06 Angular Momentum of a Planet About Sun
    6:55:38 Area Velocity in Terms of Angular Momentum
    6:57:52 Velocity of a Planet at Perigee and Apogee

  • @Bhavikachhabria13
    @Bhavikachhabria13 3 года назад +1097

    Itni quality education free of cost😲 Sir you will be remembered by many students becoming great in life just like you❤

    • @m.yaseen7097
      @m.yaseen7097 3 года назад +12

      Surely this years in neet2021,we all ll make him & his team proud ❤️

    • @anjalisoni9438
      @anjalisoni9438 3 года назад +1

      @@m.yaseen7097 yup

    • @gameprompt8073
      @gameprompt8073 3 года назад +5

      is this one shot enough to do chapter for the first time, or is it only enough for revision?

    • @__R20
      @__R20 3 года назад +12

      @@gameprompt8073 no. Never follow these one shots if you’re learning stuff for the first time, these are for the ones who’ve already done the chapter once.

    • @yashsharma6404
      @yashsharma6404 2 года назад +3

      He is providing all content of yakeen batch but in quick way and practising less question as compared to batch but he is providing same level content

  • @devrajyadav6917
    @devrajyadav6917 3 года назад +624

    Sir you are one in "A-lakh"

    • @ARKGamerYt
      @ARKGamerYt 3 года назад +26

      Wow that's something original

    • @sonamagarwal2448
      @sonamagarwal2448 3 года назад +11

      🔥✨

    • @gursharandhindsa6683
      @gursharandhindsa6683 3 года назад +7

      True.

    • @biobuzz663
      @biobuzz663 3 года назад +5

      aaaahhhaaa aaaahhhaaaa waah waah waah waah waah

    • @mayankpandey5079
      @mayankpandey5079 3 года назад +7

      Waaaaaahhhh waaaahhhhh.....
      Maja aaya....!!;;))))
      Mast innovative tha yaar.. mast ekdumm..

  • @Curious-30
    @Curious-30 9 месяцев назад +18

    April me kon dekh rhe ho?? 😮2024,, 11 th barbad ho gya to aagya sir ke pass 11 th sudhar ne😂

  • @avdheshnema2287
    @avdheshnema2287 3 года назад +424

    Lecture starts at - 5:30 pm on 11/06/2021
    Lecture ends at 12:47 am on 12/06 / 2021😊😊😊
    Vese kis kis ne lagataar poora dekha ??😎😎

  • @yodude9454
    @yodude9454 3 года назад +192

    AFTER WATCHING THIS VIDEO IN ONE SITTING... MY ENERGY GOT LOST WITH ESCAPE VELOCITY

    • @sufiya2471
      @sufiya2471 3 года назад +1

      Hey, I am in 12th but I don't even know the basics of this chapter. So will this video be helpful for me or should i watch the detailed videos?
      Plz someone reply

    • @muskanhira763
      @muskanhira763 3 года назад +1

      @@sufiya2471 do you have the time for the detailed ones?

    • @sufiya2471
      @sufiya2471 3 года назад

      @@muskanhira763 no!!!

    • @manjeetkohli7867
      @manjeetkohli7867 3 года назад +3

      @@sufiya2471 it's ok to watch these videos if you can solve these questions at least it will help you in future.
      This chapter is around 70% same as electrostatics

    • @kunal6014
      @kunal6014 3 года назад

      @@sufiya2471 if u r in 12th then I think u have ample of time for neet 2022....

  • @anonymoushacker841
    @anonymoushacker841 3 года назад +215

    Homework question at 1:30:08
    Answer is E=2G[ln(a+l) - lna]
    ln = log with base equal to e.
    Put dm/dx=m/l= 2x and then integrate dE = Gdm/x2 ( where dm = 2xdx)

  • @stranger-xu6lh
    @stranger-xu6lh 2 года назад +13

    1:30:11 H.W. ans- 2G log((a+L)/a)
    1:49:43 HW ans plus minus 2GM/3√3R²

    • @anjali-gy4qt
      @anjali-gy4qt Год назад

      hey sorry but could you explain the second one?

    • @bismillahpatel822
      @bismillahpatel822 Год назад

      Slight correction of ans 1 …it is 2G ln(a+l)/ a

    • @cutie9780
      @cutie9780 Год назад +1

      @@bismillahpatel822 🥲 2Gln(a+L/a)

  • @animo2152
    @animo2152 2 года назад +1076

    Sir thought this is fast but legends are still watching at 2x....😎😎😎😎😂😂😀😂

    • @aditisharmavanian8797
      @aditisharmavanian8797 2 года назад +27

      Hey I just done with my 12th boards
      & Mene iss chapter ko ek baar bhi ni padah
      Is ths enough for me to build concept
      Pls tell🙏❤️

    • @animo2152
      @animo2152 2 года назад +16

      @@aditisharmavanian8797 ofcourse
      I also clear my all concept through this video only 👍👍👍

    • @amitsahu1514
      @amitsahu1514 2 года назад +14

      Are jaha alakh sir hai waha kahe ki problem

    • @Iam_vivek.16
      @Iam_vivek.16 2 года назад +7

      Me too😂😂

    • @archanareddy4901
      @archanareddy4901 2 года назад +3

      Me tooo🤩

  • @YASH1424
    @YASH1424 Год назад +9

    2:38:11 Q 18 can also be done by potential energy
    As both potential energy will be same the Mgh =Mg'h'
    M9g2=Mg'h'
    h' =M9g2/Mg = 18m

  • @abhi-tc2nl
    @abhi-tc2nl 3 года назад +89

    4:49:22 answers is wrong sir, you forgot to put 2R in place of h. 😅

  • @ashokkumardeswal8380
    @ashokkumardeswal8380 3 года назад +437

    PANKAJ SIR : ALAKH PANDEY sir tum to bde heavy driver nikle
    PW: arre nhi sir vo aaj Babita ne bola tha record bnane ke liye😁😁😁😁😂😂😂

    • @itsfabulous-asclepius5634
      @itsfabulous-asclepius5634 3 года назад +8

      Pankaj sir .....9 hrs😁

    • @PradeepKumar-dm9jv
      @PradeepKumar-dm9jv 3 года назад +2

      🤣😂😂

    • @xyz1002
      @xyz1002 3 года назад +9

      arey yaro yae record break karne ki chakkar mae video bht bade hojare 😣 😣 m not able to complete all 3 subjects all in 1 day go

    • @11sunamdas.xi.b.98
      @11sunamdas.xi.b.98 3 года назад

      @@xyz1002 oi....tui ekhaneo achis'm......toke na evr ...dara

  • @mechanicalminds5539
    @mechanicalminds5539 3 года назад +503

    Sir this is my kind request :
    Please first complete the chapters which have maximum weightage like electrostatics , current electricity , semiconductors , modern physics , we have to finish them first 🙏
    Guys please like maximum so that sir can read this comment , please 🙏

    • @aparnakhurana21
      @aparnakhurana21 3 года назад +8

      Yes, there are chances of postponement because admission process takes over a month! And forms are not released yet. But prepare as if NEET is on August 1 only.

    • @mechanicalminds5539
      @mechanicalminds5539 3 года назад +9

      @Hritik Baranwal Par yaar pehle vo chapters kiye tho accha hoga na , baar baar rewise kar sakte hai

    • @mechanicalminds5539
      @mechanicalminds5539 3 года назад +18

      @@aparnakhurana21 can't say about postponement , our education minister never says anything correctly 😑

    • @8dtrips514
      @8dtrips514 3 года назад +6

      Guys, I don't think that Postponement hoga bcoz some insiders are saying ki NTA is waiting for a decision by Supreme Court stating that Every State will have to cancel their respective Board Exams and after that they will be conducting the exams in August itself.. Take this news with a pinch of salt though.
      And don't expect postponement.

    • @namishaojha9081
      @namishaojha9081 3 года назад +3

      @Mechanical minds,,agree with you..hope sir will read this comment..nd please guys don't think about postponement..agar postpone hoga to achha hai na ki revision k liye tym milega..sir ko July tk any how syllabus kra dena chahiye.. let's see 👍

  • @dilipkshahshah2180
    @dilipkshahshah2180 3 года назад +128

    In my coaching, Normal Gravitation lecture was of 6 hours and here crash course is of 7 hours....which itself clears that the content is not less than any normal coaching......👌👍👍👍👍👍

  • @snehashreenayak2004
    @snehashreenayak2004 3 года назад +222

    MAX. SELECTIONS FROM PW!!!!....... SIR LOVE FOR PW IS JUST AT ANOTHER LEVEL...NO 26 ALPHABETS COULD EXPLAIN IT!!!

    • @surjaysoni2935
      @surjaysoni2935 3 года назад +2

      Achha....matlab there are only two words which can define love for PW😂😂😂😂😂😂😂😂😂😂😂

    • @how9055
      @how9055 3 года назад +4

      Only 2 alphabets 'P' and ' W' can explain it 😬❤️💙

    • @surjaysoni2935
      @surjaysoni2935 3 года назад

      @@how9055 🙄🙄🙄

    • @nishagirlmemer4506
      @nishagirlmemer4506 3 года назад

      haan max selection 😊😍

    • @randomlyrandom2728
      @randomlyrandom2728 3 года назад +6

      @@how9055No offence but either snehashree is 2 smart or 2 dumb 🤣

  • @rohitjha7386
    @rohitjha7386 3 года назад +89

    My teacher teaches this chapter in 20 day and then also I am unable to understand this. Hats off to my God alakh Sir love u infinity..

    • @fahadyousuf4109
      @fahadyousuf4109 3 года назад +1

      Please mereko batao is it enough to study from umeed series for NEET...2022

    • @BeCreativewithMeenakshi
      @BeCreativewithMeenakshi 3 года назад

      Same here

    • @Square-nn7tb
      @Square-nn7tb 3 года назад +1

      mine did it i 1 lecture and I didnt understood anything lol

  • @mymedvlogs5869
    @mymedvlogs5869 3 года назад +252

    Can we have a moment to appreciate his and his whole team's efforts . 👏👏👏👏 It's not even easy to keep standing for 7 hours straight and sir is teaching hats off to you . 🙏

    • @fahadyousuf4109
      @fahadyousuf4109 3 года назад +2

      Please mereko batao is it enough to study from umeed series for NEET...2022

    • @rishikshetty3480
      @rishikshetty3480 3 года назад +1

      He is a legend 🙌

    • @susmitha9476
      @susmitha9476 2 года назад

      @@fahadyousuf4109 yes

  • @ααα2.0-ζ2ω
    @ααα2.0-ζ2ω Год назад +25

    Q.no-41.
    At 4:49:47
    h=2R

  • @smarakdash9153
    @smarakdash9153 3 года назад +405

    Congratulations to all those who completed the whole lecture in one shot !! Thank you sir ♥️

    • @TanmoyDeb
      @TanmoyDeb 3 года назад +4

      I am one of those

    • @janhveerai2662
      @janhveerai2662 3 года назад +1

      I am one of these

    • @nishagirlmemer4506
      @nishagirlmemer4506 3 года назад +1

      ya 😘😊

    • @pareekji5995
      @pareekji5995 3 года назад +6

      Literally in 1 month cus I m promoted_________lol 🤣

    • @gameprompt8073
      @gameprompt8073 3 года назад +6

      is this one shot enough to do chapter for the first time, or is it only enough for revision?

  • @raufyaqoob3737
    @raufyaqoob3737 3 года назад +213

    Beauty of this masterpiece is that, He has same energy and spirit throughout, if it's a 2 hours lecture or 10 hours, Hardly matters!!! ❤️

    • @venomjib4919
      @venomjib4919 3 года назад +3

      Bhai tu kashmir se hai kya

    • @Lakshi010
      @Lakshi010 2 года назад +3

      yes you are right

  • @__Gyan__
    @__Gyan__ 2 года назад +43

    1:29:59 hw answer 2G×log( (a+l)/a )
    1:49:10 hw answer (2GM)/( 3^(3/2)*R^2 )

    • @muskangupta2451
      @muskangupta2451 2 года назад +3

      1.29.59 vla kese nikala ans ?

    • @sweksha5479
      @sweksha5479 2 года назад

      wo log kaise aaya?

    • @mj__24_
      @mj__24_ 2 года назад +2

      "Achcha baccha" : in Alakh sir's terms..

    • @mj__24_
      @mj__24_ 2 года назад +2

      2GMx log(a+1)/a hoga ig.. mass kaha cancel hua h!?

    • @samanvayhp8714
      @samanvayhp8714 2 года назад

      @@sweksha5479 1/x integration is equal to log x

  • @AbhishekKumar-ix1pz
    @AbhishekKumar-ix1pz Год назад +60

    1:30:09 homwork answer:-
    E=2G[ln(a+l) - lna]

  • @biobuzz663
    @biobuzz663 3 года назад +16

    6:38:45 sir please ignore them we want these kinda lectures only. One shots are the best.

  • @SouravKumar-jk3eg
    @SouravKumar-jk3eg 3 года назад +100

    1:53:43 Break 1
    3:52:45 Break 2
    5:33:11 Break 3

  • @Pikutheaspirant
    @Pikutheaspirant Месяц назад +21

    Anyone for neet 2025
    Watching this lecture in December (I m on 5th December) 😊
    Chlo complete krtai hai 🙃

    • @Faheem-r
      @Faheem-r Месяц назад

      How you find this, is only this enough and question practice

    • @Pikutheaspirant
      @Pikutheaspirant Месяц назад +3

      @Faheem-r yes theory is pretty enough
      But u have to solve questions for more clarity

    • @Faheem-r
      @Faheem-r Месяц назад

      @@Pikutheaspirant Thankx are You, preparing for NEET.

    • @TanuDohare
      @TanuDohare Месяц назад

      Yesss❤

  • @sfali1203
    @sfali1203 3 года назад +34

    every institute teach for their students but physicswallah teach for our country to grow up

  • @shreyachaudhari5227
    @shreyachaudhari5227 2 года назад +100

    Sir you are one in "A-lakh"✨❣️

    • @KashmiriJanu
      @KashmiriJanu 2 года назад

      Is this video good for neet?
      Should we study any more ?or not

    • @gautamkumar-tt5hi
      @gautamkumar-tt5hi 2 года назад

      @@KashmiriJanu yes it is enough but do derivations also of all topics and make notes and revise

    • @KashmiriJanu
      @KashmiriJanu 2 года назад

      @@gautamkumar-tt5hi 😄😄🤗

  • @DawnZettaYT
    @DawnZettaYT Год назад +6

    4:41:27 here in the formula U=-GMm/R , the capital "R" is wrong there should be small "r" actually

    • @Gmcian-f3b
      @Gmcian-f3b Год назад

      Yepp.. Its small 'r'👍

    • @GopalSingh-i8l
      @GopalSingh-i8l 3 месяца назад

      Haa bhai mein bhi yahi soch raha tha

  • @khushikakkar1222
    @khushikakkar1222 Год назад +2385

    2024-2025 vale attendence lgaooo

  • @harshita2023
    @harshita2023 3 года назад +7

    1:30:05 hw question answer-
    2G [log ê(a+l)- log ê(a)]

  • @vashishthrajyaguru5776
    @vashishthrajyaguru5776 3 года назад +128

    Continuous 7:17 hours lecture with just 30 min break....hats off to all the students who had the patience to sit this long...and obviously to sir as he is just too good

  • @ta55u
    @ta55u Год назад +91

    A huge huge huge thanks to alakh sir , around 70 questions in this series and in practice sheet will be many questions within 7hrs , can't even imagine 🔥🔥🔥🔥

    • @nabiulhassan377
      @nabiulhassan377 Год назад +4

      Is it enough for neet?
      I have never touched this chapter so should i watch this or not?

    • @ta55u
      @ta55u Год назад +6

      @@nabiulhassan377 yea it's absolutely enough ,but you have to pay attention and solve all the questions by yourself

    • @Chungru6147
      @Chungru6147 Год назад

      ​@@ta55u bohr question khud se solve nahi hote hai tumhara bhi aisa he hota hai kya bro plz batao

  • @shaownightgaming8402
    @shaownightgaming8402 Год назад +1997

    2023_2024 walle students appna attendance laga de👍

  • @somepallydurgaprasad97
    @somepallydurgaprasad97 2 года назад +8

    1:27:40
    Ans: E=2G[ln(a+L/a)]

  • @priyabratsahoo5020
    @priyabratsahoo5020 3 года назад +6

    1:30:01
    Q12) Answer of hw question -
    2G log (a+l)/a

    • @akshaya.m796
      @akshaya.m796 3 года назад

      Can you explain in detail

    • @priyabratsahoo5020
      @priyabratsahoo5020 3 года назад +1

      @@akshaya.m796
      Do it in the same way as sir did that question
      After sir's 2nd step, just put 2xdx in place of dm and then proceed
      After doing integration your answer will be ready👍

    • @akshaya.m796
      @akshaya.m796 3 года назад

      @@priyabratsahoo5020 thank you so much

    • @priyabratsahoo5020
      @priyabratsahoo5020 3 года назад

      @@akshaya.m796 Welcome😇

    • @albakshhussain7896
      @albakshhussain7896 Год назад

      ​@@priyabratsahoo5020can u pliz elaborate

  • @lovisxh
    @lovisxh 3 года назад +127

    30:01 Sir be like Jayada Tezz ho to Recorded me speed kam kr lena
    And Me watching it on 2x😂

    • @rahulmangvani6189
      @rahulmangvani6189 3 года назад +1

      Me also bro

    • @lovisxh
      @lovisxh 3 года назад +6

      @@rahulmangvani6189 Maine 7 hrs ka lectures 2:30 hrs mein complete kr diya bas weak Topics padhe

    • @krishnagautam2189
      @krishnagautam2189 3 года назад +3

      Me completed whole lecture in 2 hrs

    • @lovisxh
      @lovisxh 3 года назад +5

      @@krishnagautam2189 Tum Purush nhi Mahapurush Ho Mahapurush

    • @divyanshiyadav0301
      @divyanshiyadav0301 3 года назад +2

      Same pinch😂

  • @SM-ur8bh
    @SM-ur8bh Год назад +4

    At 1:00:13 you can use x = r/√n + 1 where n is no. Of times the big mass is of small mass example 10 × 100 = 1000 so n = 100

  • @souhridyobose4362
    @souhridyobose4362 2 года назад +10

    6:45:25 Sir says don't come here for feel. Somehow I still got it tho. How does NCERT fail to explain this and sir succeeds even tho its the same thing? This is forevermore an enigma.

  • @omkarbansode7417
    @omkarbansode7417 3 года назад +15

    5:08:55 my favourite song
    MAN MERA .......
    Old is gold

  • @anisharora4434
    @anisharora4434 3 года назад +125

    The energy is unbeatable... ALWAYS GRATEFUL AND LOVE THE PHYSICS WALLAH TEAMM

    • @gameprompt8073
      @gameprompt8073 3 года назад +1

      is this one shot enough to do chapter for the first time, or is it only enough for revision?

    • @KashmiriJanu
      @KashmiriJanu 2 года назад

      Is this video good for neet?
      Should we study any more ?or not

  • @dreamer2414
    @dreamer2414 2 месяца назад +6

    Guy's this lecture is enough to explain all the concepts our alakh sir is best ❤

  • @sportsupdate3578
    @sportsupdate3578 3 года назад +26

    I really appreciate physicswallah not only Alakh sir but whole physicswallah family. For me whole physicswallah team is an emotion. Their hardwork dedication determination is really exceptional. You know i am just confuse physicswallah team is taking 9 hours live stream in umeed batch and Manzil batch and also teaching relevant concept. I am aspirant of Yakeen batch 2021 and i also bought batch for my brother who is in 12th class. Physicswallah is making revolution. No one can deny this fact. And i am waiting to crack this year neet and become member of physicswallah alumini.Huge respect for whole Physicswallah team. Love you All

  • @khushisingh-cz9vs
    @khushisingh-cz9vs 3 года назад +325

    I spent 2 years in Allen...bt could not get this much of knowledge... hats off ❤️ I hope iss saal neet pw k naam pr crack karuu m❤️

  • @yashrajsinghgonda
    @yashrajsinghgonda 3 года назад +80

    Bholenath sab par kripa banaye rakhen🙏🙏

  • @sumansarswat4292
    @sumansarswat4292 Год назад +10

    Isko jab tk neet hoga Jab tk har saal ke aspirant dekhnge kabhi na kabhi 😅

  • @khushvendrasingh4192
    @khushvendrasingh4192 3 года назад +10

    5:54:15
    *The question is wrong*
    For A it's distance from surface = r
    For B it's distance from centre = 2r
    So for both total distance from centre = 2R
    Hence ratio is 1:1

    • @RoshanSingh-yw9ei
      @RoshanSingh-yw9ei 3 года назад +2

      if distances are different ie from surface = r and centre=2r ,,, and we need to take distance from centre of earth ,, so distence of A should be = R+r na??? is question ko solve kaise kare?

    • @khushvendrasingh4192
      @khushvendrasingh4192 3 года назад

      Centre waala distance laga do
      Aur is ques me R(earth) = r hi hain
      Agar R aur r alag loge toh phir variables mein aayega
      T(a)/T(b) ka sqaure = R+r/2r ka whole cube

  • @vaibhavrohilla8728
    @vaibhavrohilla8728 3 года назад +67

    I like his most fabulous dialogue that is " A Daadi Vale Insaan Padha "
    who also likhe his dialogue
    👍👍👍👍👍👍👍👍👍👍
    😂😂😂👌👌👌👌
    Op Alakh Sir

  • @akritihansa4317
    @akritihansa4317 3 года назад +135

    I am Allen student. And my teacher taught me exactly the same way. He even used Alakh sir's mentoz zindagi phrase for himself and every student loved him. When I came here I realised he was copying the legend. What a shame!!!
    Nobody can get better at it than Alakh sir. He is G.O.A.T! Thank you so much sir for this series🙏❤

    • @prajwal.mahadev__official
      @prajwal.mahadev__official 3 года назад +65

      Bro, copying the good things isn't bad.. atleast he tried to make the things easier.what I wish is even my teachers also watch alakh sir class and teach me offline like this. 🙌

    • @akritihansa4317
      @akritihansa4317 3 года назад +13

      @@prajwal.mahadev__official Maybe you are right about the copying part. I was actually taken aback when I realised it wasnt his own method. He was good, to be honest.
      But lemme tell you, no teacher is going to be like alakh sir!!! Never.

    • @shahidyounis.__
      @shahidyounis.__ 3 года назад +4

      I think mentoz zindagi method is written in every basic book available in market..period 🤦😂

    • @gameprompt8073
      @gameprompt8073 3 года назад

      is this one shot enough to do chapter for the first time, or is it only enough for revision?

    • @akritihansa4317
      @akritihansa4317 3 года назад

      @@gameprompt8073 only for revision I'd say because it goes a bit fast. You won't have clear concepts

  • @hammadfarooqui9724
    @hammadfarooqui9724 Год назад +6

    1:49:14 Answer will be 2GM/3√3R square

  • @shelendrajadawat5916
    @shelendrajadawat5916 2 года назад +12

    I am a doctor and joined IIMS pune in 2022 , and i am 26 but in my hole career i didn't wached such a nice explanation

  • @sonatripathi2329
    @sonatripathi2329 3 года назад +16

    22k likes in live class that's the power of alakh sir
    Congo 400k subcriber 🥰🥰🥰

  • @Liveandletlive773
    @Liveandletlive773 2 года назад +61

    I am watching this from yakeen 2.0 2023
    Thanks sir everything is crystal clear

    • @the_Zee_Story_010
      @the_Zee_Story_010 2 года назад +3

      Qq aap batche m padhe ne bhai btana

    • @kgaming652
      @kgaming652 2 года назад

      Aapki class konsi hai

    • @xayeem
      @xayeem 2 года назад

      @@Liveandletlive773 agr bilkul b pada nahi ho bas basic mathematics aur motion ke baare mai pata ho samaj aa jayega kya?

    • @lonesharik1017
      @lonesharik1017 2 года назад

      Is this sufficient for neet please reply bro

    • @dr.vaishali9253
      @dr.vaishali9253 2 года назад

      Kyu bhaii usme Mr sir h 😶fr be yha ...Se

  • @JaiprakashYadav-cf5so
    @JaiprakashYadav-cf5so Месяц назад +13

    Class 11 vale attendence do

  • @amit9562
    @amit9562 3 года назад +33

    that day was the luckiest day of my life when i found physicswallah channel ..

    • @rkverse7355
      @rkverse7355 3 года назад

      hre🛑🛑🛑🛑🛑🛑🛑🛑⛔⛔⛔⛔⛔ttps://ruclips.net/video/ss8ID6h8yZM/видео.html
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    • @aasthapatel3846
      @aasthapatel3846 3 года назад +3

      Firstly I found that he's wasting my time when I saw his video. But when a topper recommended me his lectures of electrostatic, I was amazed. But now, I m his big fan after seeing his efforts and contents on RUclips and unfortunate about not having chance to join any of his batches of pwian.

    • @saifaryt6865
      @saifaryt6865 3 года назад

      Bhai tum kaha rahte thee itni din

  • @gupta856
    @gupta856 3 года назад +40

    1:30:09 in case of variable lamda E=2G[ln(a+l)-lna] is it correct sir??

  • @RIP__DRAGONBALL__CREATOR_AKIRA
    @RIP__DRAGONBALL__CREATOR_AKIRA 2 года назад +95

    Imagine neet 2024 getting cracked by students who watched this vids

  • @Raj_gourav_singh
    @Raj_gourav_singh Год назад +9

    Bich bich me kon slow bol raha hai😢
    But me to 2x pe dekh raha hu😂😂
    Jo Jo 2x pe dekh rahe hai attendance lagaye
    👇

  • @RSGAMING_565
    @RSGAMING_565 3 года назад +70

    ❤️In-depth lecture on RUclips =11 hrs And Crash course=7hrs........❤️ans: All 11 lectures have their seperate intro and outro and some breaks, ❤️If that all are not considered then 11hrs lecture also could be completed in 7 hrs. ❤️There is no difference in Lectures and Crash course, Crash Course is only Merging of Lectures that have ONLY 1 intro and ONLY 1 Outro.........❤️ NICE,PW

    • @netsathish3941
      @netsathish3941 2 года назад +1

      is this sufficient for neet

    • @imposter6907
      @imposter6907 2 года назад +7

      @@netsathish3941 Yaha mai jee ka hoke dekh rha hu 😂

    • @adityakasyap8030
      @adityakasyap8030 2 года назад +3

      @@netsathish3941 bro lagta hai aap new new 11th-12th mai aaye ho , agar nahi ho to abhi tak to pata chal hi jata ki yaha institute se bhi jyada aache se padhai hota hai , well in short yes this is sufficient but you hav to solve practice paper also !

    • @aash4514
      @aash4514 2 года назад +1

      @@imposter6907 mai bhi jee ko target kr rha kya mai bhi is playlist ke saare chap. padh skta hu...? plz help

  • @abhimankhandare7546
    @abhimankhandare7546 3 года назад +53

    Major contributions for physics score of selected students in 2021 will be from PW family 🥰😇

  • @seemaparween5354
    @seemaparween5354 3 года назад +31

    When lemda=2x then gravitational field from rod at point 'p'=2G log(a+L/a)

  • @askmeanything9887
    @askmeanything9887 Год назад +4

    5:54:00 distance of planet should be from center = R + r
    and R + 2r

    • @sahilmalik-ed9oj
      @sahilmalik-ed9oj Год назад

      Exactly, I'm also confused

    • @Student222-z5s
      @Student222-z5s 9 месяцев назад

      Me bhi yahi dekhne aayi thi ki me sahi hu ya nhi 😂😢

  • @asadulasad7310
    @asadulasad7310 3 года назад +11

    Fun fact : This is first lecture of Alakh sir in Competitionwallah ...and finally 400k subcriber banake gaya

  • @Guesswho.321
    @Guesswho.321 Год назад +5

    Best teacher of physics who exist in the world 🌍🙇🙇

  • @ruchitabhowmik6059
    @ruchitabhowmik6059 Год назад +5

    1:30:15 - Ans: 2G{ln(a+L)-lna}

  • @SukritiJha2606
    @SukritiJha2606 Месяц назад +6

    Really it is too much useful for neet aspirant ❤

  • @SaniyaPathan-u2z
    @SaniyaPathan-u2z Месяц назад +5

    Best part of the video is sir ekdam simple language me samjhate h baki teacher's apni bol ne ki language se hi students ko confuse kr dete h voh starting ka part dekhte hi ghabhra jate h fir skip the chapter 😅 no doubt alakh sir is the legend of physics nd also of educational field

    • @amritraushan-nj3wu
      @amritraushan-nj3wu Месяц назад +1

      Yus true mai bhi skip kar diya tha chap. But is lecture ko dekhene ke baad ache se samgh aa gya chapter.😊

    • @zzzentrixxx
      @zzzentrixxx Месяц назад

      hey im jee aspirant.. will this video help me with the standards of jee mains

  • @Just-Reminders
    @Just-Reminders 2 месяца назад +7

    At 4:49:55 Answer is option b 2/3mgR

  • @utkarshgaur3679
    @utkarshgaur3679 3 года назад +44

    A big shoutout!!!! I got 92marks in physics and even though that exam paper was tough during 2020 and this is needless to say just because of you sir.

  • @Im5za
    @Im5za 4 месяца назад +17

    Kon 2025 k lye aaya ha
    October wale attendance lgao 😊

  • @krishmodi1284
    @krishmodi1284 3 года назад +21

    H. W. Question→
    2G {loge (a+l) - loge(a) }

  • @dakshyadav2858
    @dakshyadav2858 2 года назад +7

    In this lecture Alakh Sir solved almost every NEET PYQ🙇🏻🙇🏻

    • @tahsinparveen3200
      @tahsinparveen3200 2 года назад

      Kya ye on short dekhne se pura samjh me aayega zero leval se or pura jitna onshort h lesson ke clear hojayega neet 2023

    • @susmitha9476
      @susmitha9476 Год назад

      @@tahsinparveen3200 yes

  • @abhishekchaudhary9508
    @abhishekchaudhary9508 3 года назад +16

    This is best lecturer of gravitation because in one shot sir cover all about whole things that a IIT or neet student required. Hats off sir 🙏
    Love from Agra

    • @fahadyousuf4109
      @fahadyousuf4109 3 года назад +1

      Please mereko batao is it enough to study from umeed series for NEET...2022

    • @omsingh2435
      @omsingh2435 3 года назад

      It is more than enough

    • @sunidhikumari5866
      @sunidhikumari5866 2 года назад

      Pls tell is it enough for jee mains

    • @gauravshelke3492
      @gauravshelke3492 Год назад

      @@sunidhikumari5866 for mains barely yeah for advanced heck no

    • @SujalShan-ot8gc
      @SujalShan-ot8gc Год назад +1

      @@gauravshelke3492 aye bro i tallied it with my advance notes
      most of the topics are covered the rest depends on your question's practiced

  • @zeenatparveen-wh4vz
    @zeenatparveen-wh4vz 10 месяцев назад +5

    Old is Gold
    Alakh sir jaisa koi nhi😊

  • @Parth_Jaiswal_IIT_BHU
    @Parth_Jaiswal_IIT_BHU 3 года назад +7

    Sir Ans of Hw ques of variable lambda gravitational field at P due to
    Rod is:
    E=2Gln(a+L/a) - 2G(L/a+L)

  • @KrishnaKumar-rn9nw
    @KrishnaKumar-rn9nw 3 года назад +10

    5:54:10
    Sir yaha pe satellite A ka distance Earth ke surface se aur satellite B ka distance Earth ke centre se diya gaya hai
    T² proportional to r³ yaha bhi valid hoga?

  • @bhubaneswarkarmakar373
    @bhubaneswarkarmakar373 3 года назад +11

    What a beautiful video.. Really if students see this video their entire preparation will be modified. Wish you all the Best Alakh Sir .

  • @PranjalPatidar372
    @PranjalPatidar372 Месяц назад +2

    1:30:05 2G(lembda)ln(L)

  • @nitya7990
    @nitya7990 3 года назад +6

    Bas ham sir ki mehnat ko barbad nhi jane denge aur selection leke pw ko aage leke jayenge❤️❤️

  • @MKJha-re6nm
    @MKJha-re6nm 3 года назад +55

    Disclaimer: Use earphones during lecture.....Otherwise u can be suspected by parents....

    • @sonal4753
      @sonal4753 3 года назад +1

      Means?

    • @MKJha-re6nm
      @MKJha-re6nm 3 года назад +2

      Try it... U will know what I am saying 😂😂

    • @akshat5786
      @akshat5786 3 года назад +1

      @@MKJha-re6nm lol

    • @prajwalga5238
      @prajwalga5238 3 года назад

      @@MKJha-re6nm ss my father was saying what are u seeing 😠😠😠 when sir sing some songs

  • @himadri9168
    @himadri9168 3 года назад +13

    THANK YOU SO MUCH SIR …Puri zindagi nikal jayegi aapka ye eehsaan nhi utarega 😭💜💜

  • @NeetEndgame
    @NeetEndgame Год назад +17

    Who are watching for Neet 2023 ..

  • @satyamsahuMBBS
    @satyamsahuMBBS 3 года назад +21

    when difficult question comes and we are just waiting for the mentoz method/zindegi, and then sir says ....ab beta iska mentoz method dekhenge ..........my heart 💓 says...=dil garden garden ho gya 🥰😂😂😂🔥💟💟💟😍❤️

    • @fahadyousuf4109
      @fahadyousuf4109 3 года назад

      Please mereko batao is it enough to study from umeed series for NEET...2022

    • @satyamsahuMBBS
      @satyamsahuMBBS 3 года назад

      @@fahadyousuf4109 abhii time he 6 months it is better to join any batch, thoda deep me padoge to theek rhega , by the way umeed batch is also okay

  • @hyderkhan2827
    @hyderkhan2827 3 года назад +14

    12:57 , this ques is actually in sir's first lecture of gravitation ❤️

  • @lakshyaverma7924
    @lakshyaverma7924 3 года назад +8

    3:17:16
    Fir log bhi chale gye Nam bhi Chala gya.

  • @nawazmohammed8042
    @nawazmohammed8042 Год назад +16

    Koun Neet 2023 wale hai attendance mark karo

  • @zubairmajidmalik7965
    @zubairmajidmalik7965 3 года назад +33

    Answer to homework sawal
    field =2G[ln(a+l)-ln(a)]
    Thank you so much for your efforts 💞

    • @nehaparveen4403
      @nehaparveen4403 3 года назад +2

      Yes I got it too😊😊

    • @solobird1997
      @solobird1997 3 года назад +1

      How? Could u plzz explain me?

    • @nehaparveen4403
      @nehaparveen4403 3 года назад +1

      @@solobird1997 integrate it 1/xdx ko integrate Karo from a to (a+l) aajaega

    • @solobird1997
      @solobird1997 3 года назад +1

      @@nehaparveen4403 wahi toh 1/xdx ko q integrate kare i mean dm kaisa nikala

    • @nehaparveen4403
      @nehaparveen4403 3 года назад +1

      @@solobird1997 lamda is given 2x
      Lamda=M/L yaha se dm= 2xdx aaega and then integrate karo 2xdx/x^2 toh 1/xdx milljaega

  • @shivangipandey4540
    @shivangipandey4540 3 года назад +53

    Sir i am a post graduate from physics and currently I am preparing for higher exams nd for that i am preparing from ur videos. I love the way u teach us.. Blessed to have a teacher like you. Kash hmlog ko bi aisi suvidha cls 11-12 m mili hoti to aj kch r hi macha diye hote.. Thank u sir.

  • @junaedahmed2245
    @junaedahmed2245 3 года назад +75

    Amazing lecture, attended the entire class of about 7.5 hours

  • @shivanshsingh8093
    @shivanshsingh8093 Год назад +6

    0:00 INTRODUCTION
    2:15 NEWTON'S LAW OF GRAVITATION
    25:17 PRINCIPLE OF SUPERPOSITION OF GRAVITATIONAL FORCE
    36:22 FORCE ON A MASS AT CENTRE OF SYSTEM MASS
    43:18 GRAVITATIONAL FOELD

  • @medical_.aspirant
    @medical_.aspirant 3 года назад +59

    Yeahhh completed😁😍😍

    • @shifarao165
      @shifarao165 3 года назад +1

      Sir ke lectures and dpp se alag ncert ke questions vi krne h kya. . . . . . . . . Plzz btado

    • @medical_.aspirant
      @medical_.aspirant 3 года назад

      @@shifarao165 nope sirf lec achhe se karo and dpp solved kro ye more than enough hai ..
      Agar fir bhi aapko statifaction na mile to pyq solve karo ❤ ...
      R u a fresher or dopper???

    • @DeepSingh-vm1gn
      @DeepSingh-vm1gn 3 года назад

      Ques lg rhe hai lec. comp. krne ke baad kya.? plz reply.

    • @medical_.aspirant
      @medical_.aspirant 3 года назад

      @@DeepSingh-vm1gn yepp ha kuch kuch mai doubt rehta hai if u can't solve then class ke notes revise karo fir bhi doubt solve nhi hua to app pr dpp ka solution bhi milta hai wo dekh lena☺❤

  • @lovisxh
    @lovisxh 3 года назад +51

    When a Relative asks me about my NEET Result
    Me: 4:58:14