A wave is represented by the equation, `y = 0.1 sin (60 t + 2x)`, where x and y are in metres and t is in seconds. This represents a wave

Options

A. travelling with a speed of `(1)/(30)` m/s, in the negative x direction
B. travelling with a speed of 30 m/s, in the positive x direction
C. of wavelength `30pi` metre
D. of frequency `((30)/(pi))` hertz

Answer

D

Explanation

`y = 0.1 sin (60t + 2x) = 0.1 sin 2 (30t + x)`
`= 0.1 sin 2pi [(30t)/(pi) + (x)/(pi)]`
`:.` Comparing with `y = A sin 2pi ((t)/(T) - (x)/(lamda))`, we get
`T = (pi)/(30), lamda = pi, n = (30)/(pi) Hz` and `V = nlamda = 30 m//s`