IIT JEE , AIEEE Forum - Physics , Mechanics

harry

the formula editors isn't working so try to understand the text
d - density
x - static pressure at a distance r from the axis of orfice
p - atmospheric pressure
a - r subscript 1

here the opening of orfice is exposed to atmosphere hence the pressure there is atmospheric pressure
by bernolis equation(the two points of applicarion are - one at the bottom of the vessel at a dis h from the top of vessel and the other point is a r=t a dis r from the axis of cylinder)
p + dgh = x + 1/2dv^2

applying equation of conitunity
2(pi)rd*v = 2(pi)ad*(root over 2gh)
here d is the clearance distance
draw a top crosectional figure u will easily understand it
hence v = (a/r)(root over 2gh)

Substuting this in the bernoulis eq. and solving for x
u get x = p + dgh[1-(a^2/r^2)]

replace the given alphabets u will have the required ans.

if u haven't understood anything mail me at harry_simplysuperb@yahoo.com

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