Question

A physical quantity `x` depends on quantities `y and z` as follows : ` x = Ay + B tan ( C z)`, where `A , B and C` are constants. Which of the followings do not have the same dimensions?
A. ` x and B`
B. `C and z^(-1)`
C. `y and B//A`
D. ` x and A`

Answer 1

Correct Answer - D
`[x] = [Ay] = [B] rArr [y] = [ B//A]`
Also , `[x] != [A] and [Cz] =` dimensionless
`rArr [C] = [z^(-1)]`