The mass of the liquid flowing per second per unit area of cross-section of the tube is proportional to `("pressure difference across the ends")^(n)` and `("average velocity")^(m)` of the liquid. Which one of the following relation is correct?

Options

A. `x=y`
B. None of these
C. `y^(2)=x`
D. `y=-x^(2)`

Answer

B

Explanation

`M/(At)prop p^(x)v^(y)," "ML^(-2)T^(-1)=[ML^(-1)T^(-2)]^(x)[LT^(-1)]^(y)`,
`x=1,-x+y=-2,-2x-y=-1`
`y=-1,x=-y`