An incident ray of light strikes a diamond at an angle of

45°. The index of refraction of air is 1.0003 and the index

of refraction of a diamond is 2.42.

What is the angle of refraction rounded to the nearest

whole number?

2°

17

19

45

Respuesta :

Answer:

The angle of refraction is option b: 17°.

Explanation:

We can find the angle of refraction by using Snell's law:

[tex] n_{1}sin(\theta_{1}) = n_{2}sin(\theta_{2}) [/tex]

Where:

n₁: is the index of refraction of the medium 1 (air) = 1.0003  

n₂: is the index of refraction of the medium 2 (diamond) = 2.42

θ₁: is the angle of incidence = 45°

θ₂: is the angle of refraction =?

Hence, the angle of refraction is:

[tex] sin(\theta_{2}) = \frac{n_{1}sin(\theta_{1})}{n_{2}} = \frac{1.0003*sin(45)}{2.42} = 0.2922 [/tex]

[tex] \theta_{2} = 17 ^{\circ} [/tex]

Therefore, the correct option is b: 17°.

I hope it helps you!

Answer:

Give my manz up there a thank, five star and brainliest because he is exactly right, 17°

Explanation:

if you agree give me a thank and five stare to... have a great day:D