Thin lens equation and problem solving | Geometric optics | Physics | Khan Academy

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  • Опубликовано: 5 июл 2014
  • Some examples of using the thin lens equation. Created by David SantoPietro.
    Watch the next lesson: www.khanacademy.org/science/p...
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Комментарии • 172

  • @XxPepper17xX
    @XxPepper17xX 6 лет назад +131

    how one man can so clearly explain in 12 minutes what my professor fails to explain in 2 hours i will never understand

    • @AkimboFennec
      @AkimboFennec Год назад

      I think that they have a very deep knowledge of the subject

    • @MrMisticoMagico
      @MrMisticoMagico 4 месяца назад +2

      I think you do not pay attention in the classroom.

    • @johnalowoesin5036
      @johnalowoesin5036 Месяц назад

      You have one sole aim of knowing this
      Nobody forced you
      U think that's why u understand better on RUclips and the video is rehearsed

  • @MK2EA
    @MK2EA 8 лет назад +88

    You save so many lives everyday!

  • @qwertytwerqy2440
    @qwertytwerqy2440 2 года назад +21

    Not even 20 seconds in the video and David has already figured out my dilemma in this lesson---"When are these positives or negatives?". Literally made me excited that I was watching the correct video.

  • @sebastianmichalski5318
    @sebastianmichalski5318 10 лет назад +50

    Sal, please put David's videos into the main list with physics and math videos, especially those about waves. These are the best lessons I've ever heard.

    • @MrKenguchi
      @MrKenguchi 6 лет назад +1

      yeah no offense to Sal, but he is hard to listen to with all that stuttering... this guy is so smooth

  • @jdm68
    @jdm68 6 лет назад +205

    anyone with exams tomorrow trying to study on youtube

  • @shauryaaggarwal8141
    @shauryaaggarwal8141 5 лет назад +12

    I was so depressed not understanding this for weeks and you just solved it out in 10 mins...

  • @pitchingwedge7546
    @pitchingwedge7546 6 лет назад +106

    Crazy shit being taught in Grade 10 nowadays

  • @harofax7726
    @harofax7726 5 лет назад +13

    Watching these the day before the exam like a crazed hobo frantically searching for cigarette butts on the street to get his kick

  • @mr_nuclear1547
    @mr_nuclear1547 Месяц назад +1

    This man has likely single handedly boosted the worlds GPA

  • @RevanthBoomBoom
    @RevanthBoomBoom 9 лет назад +2

    Yes, i think sal must add these videos in the playlist, it would be very convinient

  • @TheBadbowman
    @TheBadbowman 9 лет назад +1

    This is remarkably articulated. Thank you.

  • @breannabuhay3192
    @breannabuhay3192 5 лет назад

    This is the absolute BEST video I've watched for thin lens, thank you so much

  • @tyty685
    @tyty685 9 лет назад +1

    Best Khan instructor I've watched, thank you for the help.

  • @GiI11
    @GiI11 4 года назад

    THANK YOU.
    I never quite got around to learning this. Now I'm studying for the PGRE and optics is like my weakest area.

  • @lashariali7307
    @lashariali7307 7 лет назад +1

    upload more and more lectures on every small or big topic☺ your doing greaaat work🙋🙋

  • @Dalie3011
    @Dalie3011 6 лет назад +1

    youre the hero i needed since last week

  • @josephbatnjana159
    @josephbatnjana159 7 лет назад +1

    I was so lost, thanks for the help!

  • @logophile92
    @logophile92 8 лет назад +1

    This all makes so much sense.

  • @einaleMelanie
    @einaleMelanie 7 месяцев назад

    After crying for 3 hours while looking at confusing lines, you have saved my grade in 12 minutes. Thank you!

  • @Mo-qb5fb
    @Mo-qb5fb 8 лет назад +24

    im not even studdying for the mcat but this summed up 2 weeks of lecture in 10 minutes you are a fucking boss thanks

    • @michaelc.4321
      @michaelc.4321 6 лет назад +5

      TRUTH BE TOLD why is this on the MCAT?

  • @nthwielder
    @nthwielder 3 года назад

    very great amazing spectacular video !! the dark bg and neon colors rly do help focus my attention 2 the screen, justa really overall great video in every aspect :)

  • @bondlets2342
    @bondlets2342 7 лет назад

    Amazing! Thank you!

  • @asiasimone1416
    @asiasimone1416 5 лет назад +18

    this is on my exam tomorrow and my teacher didn’t even teach this 😭 gr 10 btw

  • @Mellybeans0919
    @Mellybeans0919 5 лет назад

    Great examples!

  • @mnopyzstrife188
    @mnopyzstrife188 8 лет назад +5

    Thank you so much for this explanation!
    I usually don't have any problems with physics, but this issue was just too confusing. I have a book that mentions how to determine the signs, but it just made matters worse. I'd take my semi-understanding and attempt to answer an equation with it, and I just keep getting it wrong. This video makes it so amazingly simple. Again, thank you so much, you've been a great help.

  • @alicema7062
    @alicema7062 2 года назад +1

    Your videos are great, thank you

  • @ghadeerbadr7242
    @ghadeerbadr7242 6 лет назад +1

    this is actually wow

  • @leventenagy4302
    @leventenagy4302 6 лет назад +7

    You've literally saved my ass, it all makes sense now

  • @sharshal465
    @sharshal465 5 лет назад +1

    Dude you are a life saver wow

  • @wollywolf1298
    @wollywolf1298 8 лет назад +1

    nicely present. thanks

  • @aimbotbob5056
    @aimbotbob5056 7 лет назад +11

    i like this guy more than the other one. he just seems less boring but helpful none the less

  • @yahya6594
    @yahya6594 5 лет назад

    Thanks you for this video it help me very much 😍

  • @nicholasorton17
    @nicholasorton17 8 лет назад

    Love this guy

  • @RayMysteryo
    @RayMysteryo 6 лет назад

    thanks that helped

  • @lopamudrakar5680
    @lopamudrakar5680 5 лет назад +1

    Good!!

  • @mohammadkhreiss8605
    @mohammadkhreiss8605 7 лет назад

    The app you uses please it will help me make exersices and solve things

  • @Gamerxp45
    @Gamerxp45 3 года назад

    Thank you sooo so much!!

  • @ShinGengarNL
    @ShinGengarNL 3 года назад

    I've got a really shitty optics teacher that doesn't explain shit and this video really helped me understand thin lenses! thanks so much!

  • @ringchaser4488
    @ringchaser4488 5 лет назад +1

    when i saw 6 instead of 12.....you had me in the first half not gone lie

  • @eightsoft
    @eightsoft 5 лет назад

    Thank u 👍

  • @ThaoNguyen-iv1xq
    @ThaoNguyen-iv1xq 6 лет назад

    excellent

  • @CHistrue
    @CHistrue 8 лет назад

    BRAVO!!!!!!!

  • @AmanSingh-sb4rd
    @AmanSingh-sb4rd 4 года назад +1

    Which softeare do you use sir !

  • @santhoshkannan1343
    @santhoshkannan1343 4 месяца назад

    thanks

  • @jimmyleo4718
    @jimmyleo4718 4 года назад

    good lecture

  • @Chris-xs3vu
    @Chris-xs3vu 4 года назад

    Learning this in grade 7, some really crazy shit

  • @Sameer-sx7ek
    @Sameer-sx7ek 6 лет назад

    please add a option in this app to ask questions

  • @vincentdsouza185
    @vincentdsouza185 8 лет назад

    would b better if u could explain sign convention rules der like d graphs...stuff formed on d right side is +ve and stuff on d left side -ve and so on...

  • @vichkey
    @vichkey 6 лет назад +1

    What about calculating strength of lens?

  • @Sameer-sx7ek
    @Sameer-sx7ek 6 лет назад

    whether mirror and lens equations are same? for lens it should be (1/f = 1/v - 1/u) right?

  • @allisonsouter9589
    @allisonsouter9589 2 года назад

    this saved me

  • @sterlingsmith2947
    @sterlingsmith2947 6 лет назад

    These comments are so helpful

  • @goku1863
    @goku1863 8 лет назад

    AUEEESOMMMMEEEEEEE!

  • @bobbob123ful
    @bobbob123ful 5 лет назад

    What about when object distance is less than the focal length for a convex lens? Doesn't that make S' negative, but it's on the opposite side of the lens than the object?

  • @mangiferaindica8720
    @mangiferaindica8720 2 года назад

    may God bless you

  • @rafaelglobalsupport
    @rafaelglobalsupport 2 года назад

    I was wondering if a very wide lens is used or the widest can simulate some special effects, like Interstellar movie from CN

  • @neurobiogirl
    @neurobiogirl 8 лет назад +1

    THANK YOU! I am curious though. How do you know if an image is real or virtual?

    • @aravindgopinath5084
      @aravindgopinath5084 8 лет назад

      If it is real, it can be focused onto a screen.

    • @pulahagangopadhyay1630
      @pulahagangopadhyay1630 Год назад

      Virtual images can only be seen by eye and is on the same side as the object on the ray diagram

  • @Chelsea-gs7qj
    @Chelsea-gs7qj 7 лет назад

    on one of the practice problems amcas gave the equation /0 + 1/i = s and asked to solve for the strength of the person's eye. Looking back it was probably a plug and chug especially since they gave the equation but it was the first time I have seen this equation. I'm only familiar with the solving for focal length and magnification. Are there any videos on lens strength anywhere?

    • @Imubozuu
      @Imubozuu 6 лет назад

      10 months after, sorry.
      But, I think by "strength " it meant using the lens power equation : P = 1/F where F is in meters.

  • @MintChocChip100
    @MintChocChip100 6 лет назад +11

    Isn't the sign of the focal lengths opposite? + for concave and - for convex
    for a concave mirror: f = +0.5R
    for a convex mirror: f = -0.5 R

    • @sophiza126
      @sophiza126 4 года назад

      MintChocChip100 this is a lens

  • @dskim24
    @dskim24 4 года назад +6

    Hi! Thank you, Khan videos have helped me a lot! I just wanted to point out that the description of the lens use at 5:17 is not quite accurate in terms of the eye. That would be a _real image_, which you would not view in that manner (or at all). A real image is one that is actually formed on a surface, which could only be viewed from behind like that if there was, say, a plane of frosted glass or a piece of translucent paper. Real images are generally formed on film, sensors, retinas, etc. or viewed anew with your own eye forming _another_ image. In other words, a flat surface must be present to realize a real image, and it would probably be viewed from off axis.
    Yes, positive diopter lenses can be used in that schematic layout for corrective purposes, but that is to partially converge light (and not form an image yet) before your eye lens can form a real image on your retina (which would be the case for far-sightedness -- nearsightedness would require a negative diopter lens).
    Sorry, don't mean to be a stickler!

    • @dskim24
      @dskim24 4 года назад +1

      Oh. except if the image is inside the focal length, in which case the image would be upright and virtual. Magnifying glass style. Then yes, your eye would be there, but the rays would not be converging.

    • @reesepatel3883
      @reesepatel3883 Месяц назад

      ​@@dskim24 dbi

  • @Blissful_seeker
    @Blissful_seeker 5 лет назад

    U r so clutch

  • @JCADInc
    @JCADInc 8 лет назад

    Does it matter where your eye is located? Does the image stay in focus whether your eye is 10cm away, 50cm away etc?
    I'm trying to determine if there is a good position to place your eye so that the object is in focus or if focus matters? Referring to this product: www.shapeways.com/product/67MLBFUU4/vr-one?li=search-results-1&optionId=57570022

  • @seanpavlik_mentalhealth
    @seanpavlik_mentalhealth 7 лет назад +1

    khan academy is doing god's work

  • @a.s7252
    @a.s7252 3 года назад

    I love your voice

  • @henryshingalili4181
    @henryshingalili4181 8 лет назад +7

    isnt the image of concave lens always on the same side as the object? meaning the image distance will be negative??????

  • @jordanepstein4836
    @jordanepstein4836 9 лет назад

    love you

  • @gideonchiu9012
    @gideonchiu9012 8 лет назад

    can you explain why the image is not inverted? im really confused @__@

  • @Matt-ks2oi
    @Matt-ks2oi 5 лет назад

    we are taught that distance in front of the lens is negative and behind the lens is positive

  • @WanSyazlina
    @WanSyazlina 8 лет назад +1

    Can someone answer this plz.. so, if the distance of image is positive= the image is inverted and real..?
    If the distance of image is negative= the image is not inverted and virtual...?

    • @mdhussain363
      @mdhussain363 8 лет назад

      +Syazlina Aasim in case of conves lens if distance of image is positive then image must be real(because light are actually meeting ) and inverted (because image is form below the principle axes ) .In case of concave lens if image is taken as negative thats mean image is real and inverted . hope you got.

  • @sofiabrum3332
    @sofiabrum3332 6 лет назад

    you need a pay raise

  • @oil-qw5sm
    @oil-qw5sm 6 лет назад

    Can anyone help me with this ? The image of an object formed on the screen by a convex lens has height a. By moving the lens towards the screen , it is found that there is a second lens position at which another image of height b is formed on the screen. Prove that the height of the object is (ab)^0.5 .

  • @MR-lt3jj
    @MR-lt3jj 4 года назад

    Thought you had to convert to meters at the end when using magnification equation?

    • @abdallababikir9154
      @abdallababikir9154 3 года назад

      magnification is unitless. the top and bottom units cancel out if they're the same

  • @etereo7465
    @etereo7465 3 года назад +4

    how did u get 6 in 1/8-1/24

    • @johnkekse
      @johnkekse Месяц назад

      3 years late but here's your answer.
      Common denominator:
      1/di=1/do-1/f=f/f*do-do/f*do=f-do/f*do
      Solve for di:
      di=f*do/do-f=-8*24/24+8=-2*2*2*2*2*2*3/2*2*2*2*2=-6

    • @ParkourReborn673
      @ParkourReborn673 Месяц назад

      Bro he probably already graduated 😂😂

  • @thefarmlifeinhd
    @thefarmlifeinhd 4 года назад

    Is it always positive, or negative??

  • @duckaroo9080
    @duckaroo9080 6 лет назад +66

    I'm eight and what I am doing here

  • @13GreatBeatBox
    @13GreatBeatBox 4 года назад

    This is my University.

  • @yahyahabib1257
    @yahyahabib1257 3 года назад

    10:15 --- when we subtract we get -(1/32) not -(1/6)

  • @deepcontractor2452
    @deepcontractor2452 8 лет назад

    5:24 its SUPERMAN's EYE

  • @lobsterairsoft499
    @lobsterairsoft499 8 лет назад

    Soooo how do you figure out the heights of the object and image......?

    • @madhavdkool
      @madhavdkool 7 лет назад

      Borat Sagdiyev magnification

  • @rowbibagars6235
    @rowbibagars6235 3 года назад +1

    In convex lens, where did you get the 6cm? Sorry, I just didn't processed it correctly because i think you jump that part. Please answer 🥺

    • @michaelhafen
      @michaelhafen 2 года назад

      At 10:15, we can simplify 1/-8cm - 1/24 cm into -1/6cm by finding the least common multiple of the denominators (aka multiply the top and bottom of one of the fractions so that they will add easily) :
      First, recognize that -1/8 is equivalent to -3/24. (multiply the numerator and denominator by 3).
      With the same denominator, -3/24 and -1/24 can be added to become -4/24.
      Simplifying -4/24, we get -1/6.

  • @anya7us
    @anya7us 9 лет назад

    Why some other videos concace is positive and convex is negative. So which is the correct

    • @aravindgopinath5084
      @aravindgopinath5084 8 лет назад +1

      For convex, it can be positive or negative depending on object distance from the lens.
      Only when object distance is less than the focal length does the image distance become negative for convex lens.

  • @jaysonbryanmutuc76
    @jaysonbryanmutuc76 Год назад

    What app did you use to make those doodles? thanks alot

  • @ArmaanSingh-2818
    @ArmaanSingh-2818 13 дней назад

    W

  • @cheeterton429
    @cheeterton429 Год назад

    This mans has better hand writing on his computer than I have with a pencil

    • @Onlooker490
      @Onlooker490 Год назад

      same bro, idk I have to be happy for him or sad for me ) : (

  • @nthwielder
    @nthwielder 3 года назад

    can some1 pls give me a detailed solution/explanation on how he got rid of both the numerators (1) in 10:32

    • @papapanda15
      @papapanda15 3 года назад +1

      because the value of di is the reciprocal (a fraction flipped upside down) of -1/6, so if you flip this fraction, it is -6/1 which is -6. I hope thats more clear?

    • @nthwielder
      @nthwielder 3 года назад

      @@papapanda15 ah, yes! thank you for taking the time to explain ~~

  • @surendrakumardubey1496
    @surendrakumardubey1496 7 лет назад +5

    we have been taught that object distance should always be negative?

    • @machrx5
      @machrx5 7 лет назад +1

      that is when you're using cartesian sign conventions, in that case the lens formula becomes 1/f = 1/v - 1/u.
      you should use the formula which your teacher has suggested you to avoid confusion.

  • @Fs-ko8uq
    @Fs-ko8uq 5 лет назад

    How did this guy get 1/-6 from the equation like what did he do???

    • @erichnunes4619
      @erichnunes4619 5 лет назад +1

      lmao i swear hes wrong the answer for di is -12

  • @maddieezard8746
    @maddieezard8746 9 лет назад +17

    How did you get from 1/-8cm - 1/24 to -1/6cm ?

    • @scuzum2u
      @scuzum2u 9 лет назад +10

      Madeleine Ezard Because of math. -1/8 - 1/24 = -3/24 - 1/24 = -4/24 = -1/6 = -6 cm.

    • @noorii3535
      @noorii3535 8 лет назад

      +scuzum2u does that make sense? Scuzum, could you please pretty please explain again? :)

    • @sunbirgill5990
      @sunbirgill5990 8 лет назад +6

      +Noo Rii Not sure if it is too late, did you figure it out? I assume you're not getting this because you want to avoid using a calculator, which you do not need. First find common denominators to change -1/8 - 1/24 by multiplying by 3/3 to both. Then it becomes -3/24 - 1/24 which is -4/24, which reduces to -1/6. But you have to take the reciprocal in order to find your f, di, or do.

    • @noorii3535
      @noorii3535 8 лет назад +1

      +Sunbir Gill Kind Sir, thank you for your answer, I need to rewatch the video :) Maybe it will make sense with your explanation. Again thanks so much :)

    • @sterlingsmith2947
      @sterlingsmith2947 6 лет назад +1

      scuzum2u lmaoooo I'm so retarded thank you

  • @thefarmlifeinhd
    @thefarmlifeinhd 4 года назад

    Interesting how he can't explain the Algebra II concept of rotational integration, aka rotational volumetric integration about the center. This should be continued. He probably knows it now lol

  • @lonewolf604
    @lonewolf604 Год назад

    how the heck do you get -1/6?

  • @PsnCheesecakes
    @PsnCheesecakes 4 года назад

    how does he get -6

  • @kevinfrancis2525
    @kevinfrancis2525 8 лет назад +1

    ayy, that's a pretty confusing video you got yourself there

  • @aminakhansabah7220
    @aminakhansabah7220 7 лет назад +2

    I think you made a mistake regarding the sign of magnification and it indicating inverted/non-inverted image.

    • @sarasherri7731
      @sarasherri7731 6 лет назад

      Sabah Khan ikr i thought if the magnification is (-) then its inverted and when the image is (+) its upright and erect

  • @GreAse0MonKey27
    @GreAse0MonKey27 Месяц назад

    +ve or -ve also simplifies directions. What I have learnt is if anything two of these u, v and f have same signs then they are on the same side of the mirror. But that's not what he is saying.
    If say u and v are both positive then how can they be on different sides..
    THAT'S WRONG!!!!!!

  • @danielleg9681
    @danielleg9681 6 лет назад

    how did you get 1/6th? -8-24 =32? right? or are we subtracting fractions? someone please explain!

    • @diegoarabit1202
      @diegoarabit1202 6 лет назад +3

      We are subtracting fractions in this problem. Now in order to subtract fractions you must find common denominators. In this case 1/-8 and -1/24, the common denominator is 24, so multiply the numerator and denominator of 1/-8 by -3 to get -3/24, now you got a common denominator of 24, so you can subtract; -3/24 and -1/24 to get -4/24 you can now simplify this fraction by dividing the numerator and denominator by 4 to get -1/6. I too was confused for a bit because he skipped this step in the video.

  • @asiasimone1416
    @asiasimone1416 5 лет назад +6

    how did you go from -8cm-24cm equals 6 😭

    • @constantinzaynchkovskyy8648
      @constantinzaynchkovskyy8648 5 лет назад

      denominator has to be equal for adding fractions. (-1/8) x (3/3) = -3/24. (-3/24) - (1/24) = -4/24 = -1/6

  • @kid2519
    @kid2519 Год назад

    Not good. The issue of this video is how the image is formed. It is missing information.

  • @funaddict95
    @funaddict95 4 года назад

    I'm having a total dead brain moment and cannot figure out how he got positive 1/6 from (-1/8) - (1/24), I keep getting 1/12, anyone care to explain?

    • @sonamYT
      @sonamYT 4 года назад +2

      When you're adding or subtracting fractions, you need common denominators. -1/8 becomes -3/24, so now you can subtract: (-3/24) - (1/24) = -4/24 (reduced form is -1/6). It's negative, not positive. Hope this helps!

  • @purplepoet6147
    @purplepoet6147 4 года назад

    okay but how the fuck do you get '-6' from '-8 - 24' ?

  • @Kevin21201
    @Kevin21201 7 лет назад

    Where is Sal, dammit?