fluids - surface tension

take contact angle theta
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35 Replies
iTeachChem Helper
@Gyro Gearloose
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hardcoreisdead
hardcoreisdeadOP2mo ago
anyone ...?
SirLancelotDuLac
Is the answer to (i) P_0?
hardcoreisdead
hardcoreisdeadOP2mo ago
nah yooo....?
flower
flower2mo ago
i did not study fluid dynamics our teacher was horrible ill be covering it soon enough but this looks cool i must say
Nimboi
Nimboi2mo ago
i'm not sure about i) ii) seems like direct formula h for capillary rise = 2Tcos(theta) / rho*g*r i think we assume theta (angle of contact) by default as 0 degrees so cos(theta) = 1 but r (radius of curvature) should be given, no?
SirLancelotDuLac
I think r is supposed to ve taken as h. (Assuming theta=0) Also assuming meniscus is spherical for some reason?
Nimboi
Nimboi2mo ago
yeah fair dodgy question
hardcoreisdead
hardcoreisdeadOP2mo ago
doesnt explain the underroot in the ans
Nimboi
Nimboi2mo ago
okay then, r = h that gives h = sqrt(2T/rho*g)
hardcoreisdead
hardcoreisdeadOP2mo ago
sqrt nahi hota usmein
Nimboi
Nimboi2mo ago
? im substituting r = h in the capillary rise formula as evident by this picture, i guess if we consider the meniscus to be spherical
hardcoreisdead
hardcoreisdeadOP2mo ago
capillary rise = 2Tcostheta/rho g r all the options have a sqrt too
SirLancelotDuLac
The pressure deficit at A=$\frac{2T}{h}$ which is equal to $\rho gh$ So, $h^{2}=\frac{2T}{\rho g}$ Plug in theta=0
hardcoreisdead
hardcoreisdeadOP2mo ago
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hardcoreisdead
hardcoreisdeadOP2mo ago
as for the actual ques am not sure what the ans is yet i did find a similar one tho
hardcoreisdead
hardcoreisdeadOP2mo ago
Physics with Akash Goyal (PWAG)
YouTube
Surface Tension | Pathfinder Solutions | Height of Water Along a Gl...
#pathfinderphysics #jeeadvanced #propertiesofmatter Check your understanding Q 4 when a glass plate is inserted vertically in water, water rises along plate making its surface close to the plate curved. find height to which water rises along the plate.
SirLancelotDuLac
Yep this is it. Ah this was a nice question. May I ask the source if you don't mind?
hardcoreisdead
hardcoreisdeadOP2mo ago
came in my weekly test i have seen really good conceptual questions from this particular section of fluids any tips for doing them i have done surface tension and stuff only upto mains level so basically ik formulas only
stormycloud
stormycloud2mo ago
What is the ans/ options?
hardcoreisdead
hardcoreisdeadOP2mo ago
this was the actual ques
No description
SirLancelotDuLac
I'm basically recapping what was said in the video but I think the answer would be (b).
No description
Opt
Opt2mo ago
Wasn't there that relation between meniscus radius and tube radius ? r = Rcosθ iirc
SirLancelotDuLac
Wasn't it meniscus radius=(tube radius)/cos(theta)?
Opt
Opt2mo ago
Yeah. Oh, I didn't specify R is meniscus radius
SirLancelotDuLac
Ah I see, Sorry.
Opt
Opt2mo ago
r for tube
hardcoreisdead
hardcoreisdeadOP2mo ago
ig i should watch full length lecs on viscosity and not rely on formulas anymore lol
Nimboi
Nimboi2mo ago
oh? i didn't know that ill look up a proof actually wait proof not needed that seems intuitive here r would be = R since contact angle theta = 0 (common default assumption)
SirLancelotDuLac
That solution is sorta flawed I think (for this question). Because then we are basically assuming that the meniscus is a sphere and contact angle is zero or we are assuming equivalent tube radius=h which would be wrong and give option (c).
hardcoreisdead
hardcoreisdeadOP5w ago
can u share a proper soln then
SirLancelotDuLac
This ☝️
iTeachChem
iTeachChem4w ago
^
hardcoreisdead
hardcoreisdeadOP4w ago
will close this in a few

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