When wave travells in 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