Physics :: Bubble Problem

Please Help me in this Problem...

A water drop of surface tension T=0.07N/m and have mass m=0.2gram is placed two glass plates. The distance Between them is 0.01 cm .Find the Force of attraction between the plates ?

A)-2.8N

B)-3.5N

C)-0.7N

D)-1.25N

Answer is option-A (2.8N)

Please Post solution........

Thanks

#Physics #HelpMe! #Bubble_Problems

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Comments

Look at the figure. The force is due to the excess pressure outside as compared to inside the water droplet. We can calculate the pressure difference. We can also calculate the area of contact by approximating the shape as a cylinder. Then just multiply to get force.

@Karan Shekhawat

Raghav Vaidyanathan - 6 years, 1 month ago

Looks similar to Einstein rosen bridge :p

Krishna Sharma - 6 years, 1 month ago

yep answer is 2.8 N, The only tricky thing here is to find pressure difference inside the approximately cylindrical bubble , let me show you with a diagram

The concept is just as Raghav told

but i dont know hot to upload images (forgot )

so till you tell that, consider the equations

Total force due to surface tension

= 2*2.S.pi.R (the extra two since there are two contacts at two plates)

where R is NOT the radius of curvature but the radius of the approximately cylindrical drop

and effective area =2.pi.R.H (the curved surface of cylinder

(where H is the distance between the plates

so pressure = force/area = 2S/H

i suppose now you can proceed

(Note- the likely mistake is to assume that this works just as a bubble and use 2S/R and then claim logically 2r=h and get 4S/H )

(here R is the radius of curvature )

the reason it doesnt work is because the curved surface is not spherical (yes , it matters)

Mvs Saketh - 6 years, 1 month ago

Can we the maximum distance between plates so that water is in contact with both plates?

Krishna Sharma - 6 years, 1 month ago

ideally, it is infinite, no matter how far you take, the water column will become thinner and thinner but still wet both sides till it becomes negligibly thin far far away, but ofcourse not really

Mvs Saketh - 6 years, 1 month ago

Thanks... you both @Mvs Saketh @Raghav Vaidyanathan ... I got it !

Karan Shekhawat - 6 years, 1 month ago

And Just a little query .. what % marks are you getting in JEE advance Test's in ur coaching or in any Test series or etc... And what is your Target (I know there is time to strenghten our Practice and concepts... but still what are Probabble guess according to Tution Test's or any Test Seriees Based test's .... ?)

@Mvs Saketh @Raghav Vaidyanathan @Krishna Sharma ?

Karan Shekhawat - 6 years, 1 month ago

I want to get $300+$ out of $360$ . Or it's equivalent in whatever the total marks we have this year. Yeah, it is a bit high, but I want it. Also, my current percentage in coaching institute is nowhere near goal.

Raghav Vaidyanathan - 6 years, 1 month ago

@Raghav Vaidyanathan – That's great.. Best of luck for ur goal ... ! Btw how much you got in ur Last exam in ur coaching ...?

Also is Shashwat and you both are in same Institute ? Since I saw that you are from same city .. am i right ?

Karan Shekhawat - 6 years, 1 month ago

@Karan Shekhawat – And It is great , I mean 300+ means you are Planing To get Below Air 25 .... am I right @Raghav Vaidyanathan

Karan Shekhawat - 6 years, 1 month ago

@Karan Shekhawat – We are classmates man, for the last two years.

Raghav Vaidyanathan - 6 years, 1 month ago

@Raghav Vaidyanathan – Just curious ... How much he genrally get in tution ...?

Karan Shekhawat - 6 years, 1 month ago

@Karan Shekhawat – It's high enough for other people to be bothering themselves with it. If you know what I mean.

Raghav Vaidyanathan - 6 years, 1 month ago

@Raghav Vaidyanathan – i want the same, i am doing whatever i can for it, let us see what happens ,

Mvs Saketh - 6 years, 1 month ago

Around 250 is good score for me, in coaching tests I m facing some problems with chemistry otherwise I m comfortable with P and M.

ALL THE BEST Raghav, Karan, Mvs for advanced :D

Krishna Sharma - 6 years, 1 month ago

@Shashwat Shukla @Mvs Saketh @Raghav Vaidyanathan @Ronak Agarwal @Sheshansh Agrawal

Karan Shekhawat - 6 years, 1 month ago

If you are referring to an AIITS problem by FIITJEE, most of my friends are of the opinion that it is wrong.

Raghav Vaidyanathan - 6 years, 1 month ago

No It is not from AITS ... And I 100% Sure that this is correct one ... But I did not posted exact language ... So wait I'am Posting Question as It , again with data and options also ... So that you can match it ...

Btw what was AITS Question ...? Please tell

Karan Shekhawat - 6 years, 1 month ago

Yes, please post original problem. A similar question appeared in AI2TS. Let's see.

Raghav Vaidyanathan - 6 years, 1 month ago

@Raghav Vaidyanathan – I have posted it... Please do check it ..

Karan Shekhawat - 6 years, 1 month ago

@Karan Shekhawat – Please Reply .. wheather it is correct or not ....?

Karan Shekhawat - 6 years, 1 month ago

@Karan Shekhawat – can you double check data?

Raghav Vaidyanathan - 6 years, 1 month ago

@Raghav Vaidyanathan – Yes I had Posted same to same wording of Question .. as it is.. !

btw , What answer do you getting ?

what is concept in this question...

Karan Shekhawat - 6 years, 1 month ago

This thing is correct. I will post solution. @Karan Shekhawat

Raghav Vaidyanathan - 6 years, 1 month ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$