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)^a (LT^(-1))^b (ML^(-3))^c` comparing the powers on both sides