If `F = (v)/(C "in" (xb))`then

Options

A. F and v denote force and velocity ,the dimensions of C are `[MT]`
B. x denote distance, the dimensions of b are `[L^(-1)]`
C. the dimensions of `(v)/(C )` can never be same as F
D. the demensions of x must be same as`(v)/(cb)`

Answer

b

Explanation

Logaritum has no dimensions
`[xb] = [M^(0) L^(0)T^(0)] rArr [b] - [L^(-1)]`
Hence option (b) is correct.