Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
97 views
in Physics by (84.3k points)
closed by
On heating water, bubbles being formed at the bottom of the vessel detach and rise. Take the bubbles to be spheres of radius R and making a circular contact of radius r with the bottom of the vessel. If `rlt ltR` and the surface tension of water is T, value of r just before bubbles detach is: (density of water is `rho_w`)
image
A. (a) `R^2sqrt((rho_wg)/(3T))`
B. (b) `R^2sqrt((rho_wg)/(6T))`
C. (c) `R^2sqrt((rho_wg)/(T))`
D. (d) `R^2sqrt((3rho_wg)/(T))`

1 Answer

0 votes
by (82.0k points)
selected by
 
Best answer
None of the given option is correct. When the bubble gets detached,
Buoyant force = force due to surface tension
image
Force due to excess pressure = upthrust
Access pressure in air bubble `=(2T)/(R)`
`(2T)/(R)(pir^2)=(4piR^3)/(3T)rho_wg`
`impliesr^2=(2R^4rho_wg)/(3T)`
`implies r=R^2sqrt((2rho_wg)/(3T))`

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...