Question

Fan and Medal!
The graph of the sine curve below is of electromagnetic energy that represents orange light:

Answer 1

sine graph with points at 0, 0 and 152 and 5 tenths, 1 and 305, 0 and 457 and 5 tenths, negative 1 and 610, 0.
What function accurately represents the sine curve for orange light?

Answer 2

@ImaGuest
@ImNotGoodAtMath
@geerky42
@Hero
@Here_to_Help15

Answer 3

Like I said before, I'm not good at math. Please stop tagging me

Answer 4

please help @ShailKumar

Answer 5

First of all, it should not be EM energy graph as energy is negative. It is an EM field graph. Let the function be y = A*sin (k*x)
Put the given points to find A, k.

Answer 6

does it matter what points i use?

Answer 7

You can use any point

Answer 8

a. f(x) = sin pi/610x
b. f(x) = sin pi/305x
c. f(x) = sin 610πx
d. f(x) = sin 305πx

Answer 9

y = 1sin(k * x)
k = pi/610???
would the answer be A?

Answer 10

Hang on..

Answer 11

You have the points as (0,0), (152.5,1),(305,0),(457.5,-1) and (610,0)
Put these points

Answer 12

For instance 1 = A*sin (k *152.5)

Answer 13

-1 = A*sin (k *457.5)

Answer 14

Divide these two equation to solve for k.

Answer 15

NOt to be rude but this is the last question i need help on and is there any way i could just get the answer.

Answer 16

OK. What is the maximum value on y axis in the graph ?

Answer 17

1

Answer 18

Great.. that is A.

Answer 19

What is the wavelength ?

Answer 20

there are no measurements on the x-axis so im not sure

Answer 21

There is..! It is 610 nm

Answer 22

\(k = 2\pi / wavelength\)
Now k ?

Answer 23

a. f(x) = sin pi/610x
b. f(x) = sin pi/305x
c. f(x) = sin 610πx
d. f(x) = sin 305πx

Answer 24

\(k = \pi / 305\)

Answer 25

thank you so much!

Answer 26

What is the correct answer ?

Answer 27

b

Answer 28

Great! You are awesome ! :)

Answer 29

no u r! tthanks!!