Question

A sine function can be used to model light waves. Green light has a wave length, or period of about 510 nm . which equation best models green light? a. y= sin pi/510 theta b. y= sin pi/255 theta c. y= sin 510/pi theta d. sin 255/pi theta

Answer 1

A sine function can be used to model light waves. Green light has a wave length, or period of about 510 nm. The equation that best models green light is y= sin 510/pi theta. The answer is letter C.

Answer 2

Answer:

$y=\sin(\frac{\pi \theta}{255})$

B is correct.

Step-by-step explanation:

A sine function can be used to model light waves. Green light has a wave length, or period of about 510 nm .

Equation of sine wave:

$y=\sin(ax)$

As we know the period of sine function is 2π

Period of this function $y=\sin(ax)$ is 2π/a

We are given the period of function is 510

Thus, $510=\dfrac{2\pi}{a}$

Now we will solve for a

$a=\dfrac{2\pi}{510}$

$a=\dfrac{\pi}{255}$

Required equation: $y=\sin(\frac{\pi \theta}{255})$

Hence, The equation for best models green light is $y=\sin(\frac{\pi \theta}{255})$