Question

A sine function can be used to model light waves. Green light has a wave length, or period of about 520 nm. Which equation best models green light?

A.) y=sin 260/pi theta

B.) y= sin pi/520 theta

C.) y= sin 520/pi theta

D.) y= sin pi/260 theta


Please help

Answer 1

`y = A sin (kx \pm wt)`

Where k represent the number of wave
`k =(2\pi)/(\lambda)` and
`w =(2\pi)/(T)` represent the angular frequency with T the period.

For this case we know tha T = 520 nm

And the angular frequency would be given by:

`w = (2\pi)/(520)= (pi)/(260)`

So then the possible anwer for this case would be:

D.) y= sin pi/260 theta

Since is the only option with satisfy the general equation of a wave.

Explanation:

Since the sine function can be used to model light waves we can use the following general expression:

`y = A sin (kx \pm wt)`

Where k represent the number of wave
`k =(2\pi)/(\lambda)` and
`w =(2\pi)/(T)` represent the angular frequency with T the period.

For this case we know tha T = 520 nm

And the angular frequency would be given by:

`w = (2\pi)/(520)= (pi)/(260)`

So then the possible anwer for this case would be:

D.) y= sin pi/260 theta

Since is the only option with satisfy the general equation of a wave.