When a wave traverses a medium, the displacement of a particle located at x at a timet is given by y = a sin (bt - cx), where a, b and c are constants of the wave, which of the following is a quantity with dimensions?

Options

A. `y/a`
B. bt
C. cx
D. `b/c`

Answer

D

Explanation

`y = a sin(bt - cx)`
[bt] = [cx] = [dimensionless]
`y/a = [M^(0) L^(0) T^(0)]`
`b/c = (T^(-1))/(L^(-1)) = L/T = [LT^(-1)]`