Question

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The critical velocity of the flow of a liquid pipe of radius r is given by v=- where p is the density
and n is the coefficient of viscosity of the liquid. Check if this relation is dimensionally correct.
15. The rate of flow (V) of a liquid flowing through a pipe of radius r and a pressure gradient (P/I) is given
by Poiseuille's equation: V = Check the dimensional consistency of this equation.
16. Test if the following equation is dimensionally correct: h= scose where h = height, S = surface
tension, o = density. r = radius and g = acceleration due to gravity.
17. Find the dimensions of the quantity v in the equation, v= - where a is the radius and lis the
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length of the tube in which the fluid of coefficient of viscosity n is flowing. x is the distance from the
axis of the tube and p is the pressure difference.
Find the dimensions of the quantity q from the expression: T = 270 where T is the time period of a
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bar of length 1 mass m and Young's modulus Y.
An artificial satellite of mass m is revolving in a circular orbit around a planet of Mand radius R. If the
radius of the orbit of the satellite ber, justify by the method of dimensions that the time period of the
satellite is given by: T
. Find the dimensions of (a x b) in the equation: E = *; where E is energy, x is distance and t is time.
1. Find the dimensions of (a/b) in the equation: P = where P is pressure x is distance and t is time.
RV9​the rate of slow V of a liquid flowing through a pipe of radius R and a pressure gradient is given by

Answer 1

Answer:

this is too long I can't answer