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

Answer

A

Explanation

bt and cx are arguments of sine thus they are dimensionless
`bt = M^(0)L^0T^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