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CBSE Class 11-science Answered

Tell me about modified pascals law
Asked by thakursonali2000 | 21 Feb, 2016, 04:41: PM
answered-by-expert Expert Answer
Consider a volume element in the form of a cylinder of a fluid which is at equilibrium.
Let the height of the column be 'h', area of cross section be 'A', 'p1' be the pressure acting on the top face of the column and 'p2' at its bottom
 
 
Forces acting on the cylindrical column of fluid are:
1. F1 = p1A which is acting vertically downwards on the top face of the column.
2. F2 = p2A which is acting vertically upwards on the bottom face of the column.
3. W = mg which is acting vertically downward in the column of the fluid.
Since, the column of the fluid is at equilibrium the net force is zero.
F1 + W = F2
F1 + W - F2 = 0
On solving we get
(p2 - p1)A = mg = Ahbegin mathsize 12px style straight rho end styleg
or p2 - p1 = hbegin mathsize 12px style straight rho end styleg
or p2 - p1 = begin mathsize 12px style straight rho end styleg
This is the modified Pascal's Law where the gravity in taken into account due to which the pressure changes with depth. 
Answered by Yashvanti Jain | 22 Feb, 2016, 02:55: PM
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