Displacement of a particle is given by y=Asin Bx+C sin Dt where x is distance and t is time. Find the dimension of the constant. Find the dimension of constant B/D.
Dimension of angle is [M0L0T0], So, the A and C have dimension [L]. Since, x is a distance and t is time, B and D have dimensions [L-1] and [T-1] . Their ratio has dimension[L-1T].