Question

prove that the pressure at depth h above the earth is same as at a depth d below it. If H and d are small as compared to the radius of the earth, what is the ratio (h/d)?

Answer 1

Pressure at H = h x density x g '
g'= g{ 1- 2h /R }
h= pressure / density x g' ----------- ( 1 )

Now Pressure at D= d x density x g''
g'' = g{ 1- d/R }

d= pressure D / density x g'' '-----------( 2 )
dividing eq 1 by 2
we get
h = R- d
___ _____
d R - 2d
it may be help you .....
--------☆ Thanks ☆ ---------------
#Aion-13