The Constant C has the dimension of?

When an object falls through air, there is


a drag force (with dimension M x L/T^2) that


depends on the product of the surface area of


the object and the square of its velocity; i.e.,





F_air = C A v^2 ;


where C is a constant.


The constant C has the dimension of


1. [C] =M /L^3


2. [C] =M /T x L^2


3. [C] =M /T^2 x L^22


4. [C] =T x L^2 /M


5. [C] =T^2 x L^2 /M


6. [C] =T/M


7. [C] =T^2 x L /M


8. [C] =M/T


9. [C] =M/L^2


10. [C] =T x L /M

The Constant C has the dimension of?
ML/T^2=C[L^2]x[L/T]^2


ML/T^2=C[L^3/T^2]


ML=CL^3


C=M/L^2





Answer is (9),