Snell's law of refraction can be written as sin i = n sin r, where n is the refractive index from air to water, i is the angle of incidence, and r is the angle of refraction.
In an experiment where a ray of light is directed from air into water, if the angle of incidence is 46 degrees, choose 1 option which gives the angle of refraction predicted by Snell's law, correct to 2 significant figures, given that n = 1.208.
A) 0.84 degrees
B) 0.85 degrees
C) 23 degrees
D) 36 degrees
E) 37 degrees
F) 45 degrees
G) 46 degrees
H) 47 degrees
Can anyone help please?
have you tried substituting your given values in the given formula?
The correct answer is obtained in one step.
1 STEP
Hhdk
To find the angle of refraction, we can use Snell's law of refraction. The formula is sin i = n sin r, where n is the refractive index, i is the angle of incidence, and r is the angle of refraction.
Given: i = 46 degrees and n = 1.208
We need to solve for r, so let's rearrange the formula:
sin r = sin i / n
Now we can substitute the given values:
sin r = sin 46 / 1.208
Using a calculator to find the value of sin 46, we get:
sin r ≈ 0.7193 / 1.208
sin r ≈ 0.5948
To find the angle of refraction, we can take the inverse sine (arcsine) of this value:
r ≈ arcsin(0.5948)
Using a calculator to find the arcsine, we get:
r ≈ 36.11 degrees
Rounding to two significant figures, the angle of refraction predicted by Snell's law is approximately 36 degrees.
So the correct answer is option D) 36 degrees.