Maximum Capillary Rise: Dynamic Treatment of Liquid in Motion?

[Rituraj131]

Homework Statement

A capillay tube is just in contact with a liquid surface of perfectly wetting liquid. What is the maximum height liquid can rise inside the capilary?

Relevant Equations

H=2σcos(θ)/(ρgr)

I know that the height in general is goven by 2σcos(θ)/(ρgr). So the maximum height can be 2σ/(ρgr) with cos(θ)=1. But the answer given is c.

 

[haruspex]

I know that the height in general is goven by 2σcos(θ)/(ρgr).

That is for the case where the surrounding reservoir is effectively infinite in area. How do you think it might be affected by a narrower surround?
(But I am not sure this gets to answer c.)

 

[Rituraj131]

That is for the case where the surrounding reservoir is effectively infinite in area. How do you think it might be affected by a narrower surround?
(But I am not sure this gets to answer c.)

Thank you for you response. Actually the problem needs a dynamic treatment of the liquid in motion

 

[haruspex]

Thank you for you response. Actually the problem needs a dynamic treatment of the liquid in motion

Ah, ok... you unintentionally altered the statement by writing "is just in contact" instead of "is put in contact".

Does this mean you now get the intended answer?