For the equation `F = A^(a) v^(b) d^(c)` where `F` is force, `A` is area, `v` si velocity and `d` is density with the dimensional anaysis gives the following values for the exponents.

Options

A. `a = 1, b = 2, c = 1`
B. `a = 2, b = 1, c = 1`
C. `a = 1, b = 1, c = 2`
D. `a = 0,b = 1, c = 1`

Answer

A

Explanation

`F = A^(a) v^(b) d^(c), MLT^(-2) = (L^(2)) (LT^(-1))^(b) (ML^(-3))^(c)` comparing the powers on both sides