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yrelhan4

  • one year ago

A simple U-tube that is open at both ends is partially filled with water (d=1000kg/m^3). now a liquid of density d is poured into left arm. it d of liquid surface in the left does not mix with water. it is observed that height of liquid surface in the left arm is 2cm more than height of water surface in left arm. what is density d of the liquid?

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  1. yrelhan4
    • one year ago
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    ok so whenever i have done these kind of problems i have always known length of liquid column in the left arm. but not in this question. so how should i start?

  2. yrelhan4
    • one year ago
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    @Mashy

  3. Mashy
    • one year ago
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    wait.. lemme read the question properly!! :P

  4. Mashy
    • one year ago
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    draw.. first draw.. !!

  5. yrelhan4
    • one year ago
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    correction: water surface in the right arm.

  6. Mashy
    • one year ago
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    and are you sure its the 2cm more than LEFT arm itself?? so basically its saying the length fo the column of the liquid itself is 2cm :O :O :O!!!!

  7. yrelhan4
    • one year ago
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    |dw:1361214865922:dw|

  8. yrelhan4
    • one year ago
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    length of column isnt 2cm. in the second question they have asked length of the column.

  9. Mashy
    • one year ago
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    |dw:1361214958351:dw|

  10. Mashy
    • one year ago
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    does that make sense?

  11. yrelhan4
    • one year ago
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    it does. but there is still a constant 'a'. how do i eliminate that? where do i apply the pressure equation?

  12. Mashy
    • one year ago
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    wait lemme think :P hey what happens if you apply pressure equation for the UPPER LINE level?? left side is pressure due to atm and 2 cm of liquid right side is pressure due to atm only

  13. yrelhan4
    • one year ago
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    :O idk what happens. nice man. you are intelligent. :P

  14. Mashy
    • one year ago
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    no.. ther is something wrong.. there is something m missing.. you can't do that.. !! :O

  15. yrelhan4
    • one year ago
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    why not?

  16. Mashy
    • one year ago
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    what why not?? if you equate them.. you ll get the pressure due to 2cm liquid to be zero!!.. cause patm cancel out on both sides!

  17. yrelhan4
    • one year ago
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    hmm. sure. :P

  18. Mashy
    • one year ago
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    am i too sleepy!??? i just went to my textbooks.. and you can do that for all problems!! consider at the surface of the liquid in the column which is lower.... !?? tell me ?? whats wrong if we do that ?

  19. yrelhan4
    • one year ago
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    |dw:1361216017495:dw|

  20. Mashy
    • one year ago
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    not that.. !! |dw:1361216075828:dw|

  21. Mashy
    • one year ago
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    you could do that for all problems.. and the density of all liquids would come zero! :-/

  22. yrelhan4
    • one year ago
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    i'm sorry. no ideas whats wrong. i have done 5-6 problems like this and i have never seen a the level at the surface of a liquid. why not? i dont know.

  23. Mashy
    • one year ago
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    even i dunno!!.. this is insane.. anwyays.. i think you can tke for the lower line ... in that case, the height of the liquid would be a +2... and the height of the water would be just a.. lol.. i dunno if that works :D

  24. Mashy
    • one year ago
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    maybe you shouldnt consider at the surface... cause on one side its liquid and the other side its air.. so the pressures really need not be the same!!

  25. Mashy
    • one year ago
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    yea that must be it :P

  26. yrelhan4
    • one year ago
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    haha. alright. :P

  27. Mashy
    • one year ago
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    but still thats not convincing me.. DAMN YOU.. its already 1.15 am here and now i can't sleep!! argggg

  28. rajathsbhat
    • one year ago
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    it's simple guys

  29. yrelhan4
    • one year ago
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    haha. spend sometime on this question. maybe it'll help you to sleep. :P

  30. Mashy
    • one year ago
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    plz rajath.. tel why !!

  31. rajathsbhat
    • one year ago
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    dg(a+2)=1000ga. makes sense? refer to mashy's diagram.

  32. Mashy
    • one year ago
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    yea but how will you solve that??????? but my question is.. why can't we ever consider at the surface???

  33. yrelhan4
    • one year ago
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    lol. how would you eliminate a? another equation? what would it be?

  34. Mashy
    • one year ago
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    something is missing in your question.. too ambiguous !! ll post a new question.. wait!!

  35. rajathsbhat
    • one year ago
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    ^ikr

  36. yrelhan4
    • one year ago
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    well its what the book says. idk,

  37. rajathsbhat
    • one year ago
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    ooh i got it. just a sec

  38. Mashy
    • one year ago
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    quick.. i need to sleep!! :P

  39. rajathsbhat
    • one year ago
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    use the buoyant force equation for the new liquid. you get dgA(a+2)=1000gAa get an equation for d in terms of a and substitute it into the first equation.

  40. rajathsbhat
    • one year ago
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    A is the area of cross section of the tube

  41. Mashy
    • one year ago
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    doesn't that give you back the same equation!?!? :P

  42. rajathsbhat
    • one year ago
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    lolol i just realized that xD

  43. yrelhan4
    • one year ago
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    lol. it does. :P

  44. Mashy
    • one year ago
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    you are just running in circles.. omg.. our smartscores are at the stake here rajath's being the most LOLZZ :D

  45. rajathsbhat
    • one year ago
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    hey but there is this one thing. why does it look like the pressure exerted by the 2cm column is 0?

  46. Mashy
    • one year ago
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    thats the problem m trying to tackle from that time.. if you consider pressure equation at the surface.. every problem gives you answer as zero.. something is horribly wrong with logic.. check my question.. its at the top!!

  47. yrelhan4
    • one year ago
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    ^ that is what mashy is being mad about.

  48. rajathsbhat
    • one year ago
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    lol mashy i know i have to brush up on my skillzzzz :P but i'm not letting this one go

  49. yrelhan4
    • one year ago
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    thats the spirit :P

  50. yrelhan4
    • one year ago
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    @Vincent-Lyon.Fr

  51. Mashy
    • one year ago
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    You calling in heavy reinforcements i see :D

  52. Mashy
    • one year ago
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    dude.. i seriously believe the question does not give enough data!!.. try thinking practically!!!.

  53. yrelhan4
    • one year ago
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    hmm maybe. i think i'll let this one go. :P

  54. rajathsbhat
    • one year ago
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    yeah something tells me that 'a' should've been given. But the way this problem is sentenced makes me think otherwise.

  55. Mashy
    • one year ago
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    i am more worried about what i was addressing lolzzz..!!! but i think the solution to my problem is.. that you cannot use pressure equation at that level, the surface or any level above that.. cause unlike liquids.. we don't have an equation for the pressure due to atmosphere for a depth !!.. so maybe its forbidden..!! but i really need a better answer !!

  56. yrelhan4
    • one year ago
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    anyway, i'm gonna go now. you guys scratch your brains. :P

  57. Mashy
    • one year ago
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    no m leaving as well.. thanks for dragging me into this.. really.. now i have something to think about.. so ll give you a medal :D and i ll fan yu :D

  58. rajathsbhat
    • one year ago
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    i got it! i know why we can't say that the pressure due to the 2cm is not 0.

  59. Mashy
    • one year ago
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    you mean what we can't say that the pressure due to 2cm IS zero?

  60. rajathsbhat
    • one year ago
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    yes

  61. Mashy
    • one year ago
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    dazzle me .. quick quick!!!

  62. Mashy
    • one year ago
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    did you fall asleep or something?!?!?

  63. rajathsbhat
    • one year ago
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    lmao ok think of the whole liquid column as a solid. the 2cm column is like the part of an iceberg that sticks out of the water surface. it's being held up and not allowed to sink beyond that level because the part of the same liquid below it is applying a force equal to it's weight.

  64. rajathsbhat
    • one year ago
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    and how does this solve the problem of pressure you ask. I'll tell you how.

  65. rajathsbhat
    • one year ago
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    didn't we learn that the molecules inside a liquid are pulled equally by the other molecules? (i remember learning this while learning about surface tension) so, AT THAT LEVEL and AT EVERY LEVEL IN THAT MYSTERY LIQUID, the pressure is the same and it's equal to the atmospheric pressure.

  66. Mashy
    • one year ago
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    wait wait wait.. !!

  67. rajathsbhat
    • one year ago
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    I could be COMPLETELY WRONG but lemme think about it a little bit more.

  68. yrelhan4
    • one year ago
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    *yawn* goodnight both of you! :P

  69. Mashy
    • one year ago
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    first of all you can't treat it like a solid.. cause fluid mechanics doesn't hold good for solid!! :P.. but wait.. m thinking!!

  70. Mashy
    • one year ago
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    yrelhan4.. if i ever meet you .. remind me to first kill you :D

  71. Mashy
    • one year ago
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    |dw:1361219680403:dw| if what you are saying is true.. (whatever that is :D) if it applies at level 1, why doesn't it apply at level 2?? why isn't level 2 at atm pressure??

  72. Mashy
    • one year ago
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    |dw:1361219869615:dw| a better picture :P

  73. rajathsbhat
    • one year ago
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    you're right....obviously there is a gap in my understanding of this part of the universe.

  74. Mashy
    • one year ago
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    or maybe we found a flaw in mechanics.. quickly lemme patent this.. before you steal away my query :D

  75. rajathsbhat
    • one year ago
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    Mark my words - I will get to the bottom of this (if vincent doesn't answer first :P) in less than 24 hours from now. (and lol ^)

  76. Mashy
    • one year ago
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    K i really need to sleep now.. so ll go now .. .bye bye.. lets discuss tihs with someone who actually knows physics lol :D !! m ashamed to call myself physics teacher now!

  77. rajathsbhat
    • one year ago
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    see ya tomorrow. this is a wake up call for me. Time to whip out those dusty old physics books :P

  78. yrelhan4
    • one year ago
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    ok so got it guys. the options are 1000,1200,1400,800 kg/m^3 according to equation dg(a+2)=1000ga, obviously d<1000, so that would mean d=800. so that is that. thank you for wasting your time on this question. :P cheers!

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