Wavelength (in meters) and frequency (in hertz) of a wave whose displacement is and t is in seconds? 6) what are the given by the equation y 0.5 sin(0.20x+1201), where x and y are in mete a) 10 m, 0.50 hz b) 5.0 m, 10 hz c) 19 m, 120 hz d) 31 m, 19 hz e) 0.20 m, 120 2m hz arn

D) 31 m, 19 Hz

Explanation:

The equation of the wave in the problem is

In general, the equation of a travelling wave is written as

where

A is the amplitude

is the wave number, with being the wavelength of the wave

is the angular frequency and f is the frequency

By comparing the two equations, we see that for this wave:

So now we can use the two equations for k and to find the wavelength and the frequency of the wave: