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

Answer:

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

Where k represent the number of wave $k =\frac{2\pi}{\lambda}$ and $w =\frac{2\pi}{T}$ 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:

$w = \frac{2\pi}{520}= \frac{pi}{260}$

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.

Step-by-step 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 $k =\frac{2\pi}{\lambda}$ and $w =\frac{2\pi}{T}$ 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:

$w = \frac{2\pi}{520}= \frac{pi}{260}$

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.