When a wave transverses in a medium, the displacement of a particle located at distance x at time t is given by `y=a sin (bt-cx)` where a, b and c are constants of the wave. The dimension of `b//c` are same as that of:

Options

A. wave velocity
B. wave length
C. wave amplitude
D. wave frequency

Explanation

but and cx are arguments of sine thus they are dimensionless
`bt=M^(2)L^(0)T^(0) cx=M^(0)L^(0)T^(0)`
`b=M^(0)L^(0)T^(-1) c=M^(0)L^(-1)T^(0)`
`b//c=(T^(-1))/(L^(-1))=LT^(-1)=v="wave velocity"`