If the angle of incidence in a medium is 45° and the refractive index of the med

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Question: If the angle of incidence in a medium is 45° and the refractive index of the medium is 1.5, what is the angle of refraction in air?

Options:

30°
45°
60°
90°

Correct Answer: 60°

Solution:

Using Snell\'s law: n1 * sin(θ1) = n2 * sin(θ2), 1.5 * sin(45°) = 1 * sin(θ2) => sin(θ2) = 1.5 * 0.7071 = 1.0607, which is not possible, hence total internal reflection occurs.

If the angle of incidence in a medium is 45° and the refractive index of the med

Practice Questions

If the angle of incidence in a medium is 45° and the refractive index of the medium is 1.5, what is the angle of refraction in air?

30°
45°
60°
90°

Questions & Step-by-Step Solutions

If the angle of incidence in a medium is 45° and the refractive index of the medium is 1.5, what is the angle of refraction in air?

Step 1: Identify the given values. The angle of incidence (θ1) is 45° and the refractive index of the medium (n1) is 1.5. The refractive index of air (n2) is approximately 1.
Step 2: Write down Snell's law formula: n1 * sin(θ1) = n2 * sin(θ2).
Step 3: Substitute the known values into the formula: 1.5 * sin(45°) = 1 * sin(θ2).
Step 4: Calculate sin(45°). It is approximately 0.7071.
Step 5: Now substitute this value into the equation: 1.5 * 0.7071 = sin(θ2).
Step 6: Calculate 1.5 * 0.7071, which equals approximately 1.0607.
Step 7: Since sin(θ2) cannot be greater than 1, this means total internal reflection occurs.

Refraction and Snell's Law – Understanding how light bends when it passes from one medium to another, governed by Snell's law.
Total Internal Reflection – The phenomenon that occurs when the angle of incidence exceeds the critical angle, preventing refraction.

If the angle of incidence in a medium is 45° and the refractive index of the med

What’s inside this PDF?

If the angle of incidence in a medium is 45° and the refractive index of the med

Practice Questions

Questions & Step-by-Step Solutions

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