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Maurice directs a beam of light on a sheet of glass at an angle of 51°. What is the angle of refraction in the glass? The refractive index of glass is 1.46.


A: 22 degrees

B: 29 degrees

C: 32 degrees

D: 36 degrees

Verified Answer :

Hagrid

Maurice directs a beam of light on a sheet of glass at an angle of 51°. The refractive index of glass is 1.46. The angle of refraction in the glass is 29 degrees. The answer is letter B.

Answer:

Angle of refraction in the glass is 32 degrees

Explanation:

It is given that,

Maurice directs a beam of light on a sheet of glass at an angle, θ₁ = 51°

The refractive index of the glass is, n₂ = 1.46

We know that the refractive index of the air is, n₁ = 1

We have to find angle of refraction in glass i.e. θ₂

According to Snell's law :

\(\dfrac{n_1}{n_2}=\dfrac{sin\ \theta_2}{sin\ \theta_1}\)

Putting all the values we get :

\(\dfrac{1}{1.46}=\dfrac{sin\ \theta_2}{sin51}\)  

\(\theta_2=sin^{-1}(\dfrac{sin(51)}{1.46})\)

\(\theta_2=32\ ^0\)

Hence, the correct option is (c) " 32 degrees ".  

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