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storchak [24]
3 years ago
6

calculate the angle of incidence if the angle of refraction is 30° in a medium of critical angle 45°​

Physics
1 answer:
Elena L [17]3 years ago
6 0

The angle of incidence is 44.8^{\circ}

Explanation:

The critical angle of a medium is given by the equation

sin \theta_c = \frac{1}{n}

where

\theta_c is the critical angle

n is the index of refraction of the medium

Here we know that

\theta_c

So we can find the index of refraction of the medium:

n=\frac{1}{sin \theta_c}=\frac{1}{sin 45}=1.41

Now we can use Snell's law, which relates the angle of incidence to the angle of refraction:

n = \frac{sin \theta_i}{sin \theta_r}

where

\theta_i is the angle of incidence

\theta_r is the angle of refraction

Here we know

\theta_i = 30^{\circ}

So, we can find the angle of incidence:

\theta_i = sin^{-1}(n sin \theta_r)=sin^{-1}((1.41)(sin 30))=44.8^{\circ}

Learn more about refraction:

brainly.com/question/3183125

brainly.com/question/12370040

#LearnwithBrainly

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