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 2 years ago
A simple Utube 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?
 2 years ago
A simple Utube 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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yrelhan4
 2 years ago
Best ResponseYou've already chosen the best response.1ok 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?

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0wait.. lemme read the question properly!! :P

yrelhan4
 2 years ago
Best ResponseYou've already chosen the best response.1correction: water surface in the right arm.

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0and 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!!!!

yrelhan4
 2 years ago
Best ResponseYou've already chosen the best response.1length of column isnt 2cm. in the second question they have asked length of the column.

yrelhan4
 2 years ago
Best ResponseYou've already chosen the best response.1it does. but there is still a constant 'a'. how do i eliminate that? where do i apply the pressure equation?

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0wait 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

yrelhan4
 2 years ago
Best ResponseYou've already chosen the best response.1:O idk what happens. nice man. you are intelligent. :P

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0no.. ther is something wrong.. there is something m missing.. you can't do that.. !! :O

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0what 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!

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0am 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 ?

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0not that.. !! dw:1361216075828:dw

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0you could do that for all problems.. and the density of all liquids would come zero! :/

yrelhan4
 2 years ago
Best ResponseYou've already chosen the best response.1i'm sorry. no ideas whats wrong. i have done 56 problems like this and i have never seen a the level at the surface of a liquid. why not? i dont know.

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0even 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

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0maybe 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!!

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0but still thats not convincing me.. DAMN YOU.. its already 1.15 am here and now i can't sleep!! argggg

yrelhan4
 2 years ago
Best ResponseYou've already chosen the best response.1haha. spend sometime on this question. maybe it'll help you to sleep. :P

rajathsbhat
 2 years ago
Best ResponseYou've already chosen the best response.0dg(a+2)=1000ga. makes sense? refer to mashy's diagram.

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0yea but how will you solve that??????? but my question is.. why can't we ever consider at the surface???

yrelhan4
 2 years ago
Best ResponseYou've already chosen the best response.1lol. how would you eliminate a? another equation? what would it be?

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0something is missing in your question.. too ambiguous !! ll post a new question.. wait!!

yrelhan4
 2 years ago
Best ResponseYou've already chosen the best response.1well its what the book says. idk,

rajathsbhat
 2 years ago
Best ResponseYou've already chosen the best response.0ooh i got it. just a sec

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0quick.. i need to sleep!! :P

rajathsbhat
 2 years ago
Best ResponseYou've already chosen the best response.0use 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.

rajathsbhat
 2 years ago
Best ResponseYou've already chosen the best response.0A is the area of cross section of the tube

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0doesn't that give you back the same equation!?!? :P

rajathsbhat
 2 years ago
Best ResponseYou've already chosen the best response.0lolol i just realized that xD

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0you are just running in circles.. omg.. our smartscores are at the stake here rajath's being the most LOLZZ :D

rajathsbhat
 2 years ago
Best ResponseYou've already chosen the best response.0hey but there is this one thing. why does it look like the pressure exerted by the 2cm column is 0?

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0thats 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!!

yrelhan4
 2 years ago
Best ResponseYou've already chosen the best response.1^ that is what mashy is being mad about.

rajathsbhat
 2 years ago
Best ResponseYou've already chosen the best response.0lol mashy i know i have to brush up on my skillzzzz :P but i'm not letting this one go

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0You calling in heavy reinforcements i see :D

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0dude.. i seriously believe the question does not give enough data!!.. try thinking practically!!!.

yrelhan4
 2 years ago
Best ResponseYou've already chosen the best response.1hmm maybe. i think i'll let this one go. :P

rajathsbhat
 2 years ago
Best ResponseYou've already chosen the best response.0yeah something tells me that 'a' should've been given. But the way this problem is sentenced makes me think otherwise.

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0i 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 !!

yrelhan4
 2 years ago
Best ResponseYou've already chosen the best response.1anyway, i'm gonna go now. you guys scratch your brains. :P

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0no 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

rajathsbhat
 2 years ago
Best ResponseYou've already chosen the best response.0i got it! i know why we can't say that the pressure due to the 2cm is not 0.

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0you mean what we can't say that the pressure due to 2cm IS zero?

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0dazzle me .. quick quick!!!

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0did you fall asleep or something?!?!?

rajathsbhat
 2 years ago
Best ResponseYou've already chosen the best response.0lmao 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.

rajathsbhat
 2 years ago
Best ResponseYou've already chosen the best response.0and how does this solve the problem of pressure you ask. I'll tell you how.

rajathsbhat
 2 years ago
Best ResponseYou've already chosen the best response.0didn'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.

rajathsbhat
 2 years ago
Best ResponseYou've already chosen the best response.0I could be COMPLETELY WRONG but lemme think about it a little bit more.

yrelhan4
 2 years ago
Best ResponseYou've already chosen the best response.1*yawn* goodnight both of you! :P

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0first of all you can't treat it like a solid.. cause fluid mechanics doesn't hold good for solid!! :P.. but wait.. m thinking!!

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0yrelhan4.. if i ever meet you .. remind me to first kill you :D

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0dw: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??

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1361219869615:dw a better picture :P

rajathsbhat
 2 years ago
Best ResponseYou've already chosen the best response.0you're right....obviously there is a gap in my understanding of this part of the universe.

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0or maybe we found a flaw in mechanics.. quickly lemme patent this.. before you steal away my query :D

rajathsbhat
 2 years ago
Best ResponseYou've already chosen the best response.0Mark 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 ^)

Mashy
 2 years ago
Best ResponseYou've already chosen the best response.0K 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!

rajathsbhat
 2 years ago
Best ResponseYou've already chosen the best response.0see ya tomorrow. this is a wake up call for me. Time to whip out those dusty old physics books :P

yrelhan4
 2 years ago
Best ResponseYou've already chosen the best response.1ok 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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