00:01
Hi, so in this question we are given a lumber puncture or a spinal tap which is a medical procedure.
00:10
So here we are given that the pressure in brain due to this procedure is we are denoting by p1.
00:17
It is 10 tor and tor means 1mm mercury.
00:23
So the pressure in the brain is given and it says that the distance between the site where we actually puncture in the spine and the brain so that distance is given as 60 centimeters since we have our spine which is vertical so this is our sight and brain is at a higher height so the distance will be equal to the height difference between the two so we are denoting it by the height h which is 60 centimeter we are given that the density of the liquid that we are using is 1 .05 grams per centimeter cube.
01:01
Using all this data we have to find out the pressure at the site.
01:06
So here we can see so in this diagram if we have this is the pressure at the brain this is the height edge and this is the pressure at this height which is we are denoting by p2 and this was p1 so this is the height difference h so we know that always the pressure at a lower height is given by the pressure at the top which will be p1 plus the pressure due to the height column of the liquid so that will be the density of the liquid times g and multiplying it by the height of the liquid column so this is how we get the pressure at the bottom of a liquid column so we have this expression now p2 equals to p1 plus rog h so we know p1 in terms of tor so we will calculate row gh first so rog h will be rho is the density which is given as 1 .05 grams per centimeter cube.
02:05
So, si units will give us 1 .05, multiplying it by 10 to the power 3 in kg's per meter cube.
02:12
So, density is 1 .05, 10 to the power 3...