0 votes
57 views
in Physics by (91.0k points)
closed by
To what height should a cylinder vessel be filled with a homogeneous liquid to make the force with which the liquied presses fo the siede of the vessel equal to the forece exerted by the liquid on the bottom of the vessel ?

1 Answer

0 votes
by (90.5k points)
selected by
 
Best answer
let h be the height of liquid column of density `rho` in the cylindrical vessel of radius r. The froce acting on the bottom of vessel = weight of liquid filled in cylinder ` = mg = (pi r^2 h rho)g` …. (i) The area of walls incontact with liquid ` = 2pi rho` Average pressure of liquid on walls is `P = ("pressure at bottom "+ "pressrue at top of liquid column")/(2)`
` = (rho gh _ 0)/(2) = (rho gh)/(2)`
Force on the walls of vessel `= (rho g h)/(2) xx 2pi r h = pi rho grh^2` ..... (ii)
As per question the forces (i) and (ii) are equal so, `pi r^2 h rho g = pi rho g rh^2` or `h =r` it means height of liquid coluum in vessel should be equal to its radius.

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

...