A glass capillary tube is of the shape of a truncated cone with an apex angle α so that its two ends have cross sections of different radii. When dipped in water vertically, water rises in it to a height h, where the radius of its cross section is b. If the surface tension of water is S, its density is ρ , and its contact angle with glass is θ, the value of h will be (g is the acceleration due to gravity)
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
Using geometry: 
Using Pressure method: P 0 – 
+ h ρ g = P 0
⇒ h = 
= 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A glass tube of uniform internal radius (r) has a valve separating the two identical ends. Initiall…
Two soap bubbles A and B are kept in a closed chamber where the air is maintained at pressure 8 N/m…
When liquid medicine of density ρ is to be put in the eye, it is done with the help of a dropper. A…
Four point charges, each of +q, are rigidly fixed at the four corners of a square planar soap film …
A drop of liquid of radius R = 10 –2 m having surface tension divides itself into K identical drop…
A uniform capillary tube of inner radius r is dipped vertically into a beaker filled with water. Th…