Question

If y = (A÷B) sin (Bt) where A and B are constants t is time and y is distance then dimensional formula of AB is given by
The answer is L^1 T^(-2).
I want explanation

Answer 1

Explanation:

[A/B] = [y] = [L]

=> [A] =[B][L]

=> [AB] = [B]^2 [L] ...... (1)

now,

[Bt] = [1] .........(angle is dimensionless quality)

=> [B] = [1/t] = [T^-1] .... (2)

using (1) & (2) ..

[AB] = [L T^-2]

* * * * * *

hope, it helps you.