00:01
In this question, we have to form a dimensionless number based on the given information that the length is having a dimension of l here.
00:10
And now if we talk about the dimension of mu, then it will be here m and then here it is l minus l raised to the power negative 1 and then it is t raised to the power negative 1.
00:23
So, here the dimensions of rho can be written as m and then it is l raised to the power negative 3 and then the dimensions of v can be here written as l t and then it is minus 1.
00:37
So, from this information we can say that by the buckingham method.
00:42
So, this method says that here pi will be equals to this is going to be m and then here here it is l raised to the power negative 3 and then here it is raised to the power a.
00:55
Now the value of l and then it is t negative 1 that is in the power and then here power will be b.
01:03
Now here it is l raised to the power let us write this is going to be here c and then here we are having ml negative 1 and then it is t raised to the power negative 1.
01:16
So, if we simplify this very expression, we can here say that this side, this pi is a dimensionless number, right? so, if it is a dimensionless number, what does it mean? it means that the powers of mass, that is m will be 0, the powers of l will be 0 and the powers of t will be 0...