If the force is proportional to square of velocity, the the dimensional of proportionality constant is

Options

A. `[MLT^(0)]`
B. `[MLT^(-1)]`
C. `[ML^(-2)T]`
D. `[ML^(-1)T^(0)]`

Answer

A

Explanation

`F prop v^(2)`
`F=kv^(2)`
`K=(F)/(v^(2))`
`K=(MLT^(-2))/([LT^(-1)]^(2))=ML^(-1)`