Question

a physical quantity x depends on quantities y and z as follows: x = Ay + B tan Cz, where A, B and C are constants
which of the following 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

Answer:

Given x=Ay+Btan(C

z

)

Each term in a equation has same dimensions.

⇒Dim(x)=Dim(Ay)=Dim(B)

⇒ x and A cannot have same dimension