If the angle of incidence is 30° in a medium with a refractive index of 1.5, wha

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Question: If the angle of incidence is 30° in a medium with a refractive index of 1.5, what is the angle of refraction in air?

Options:

19.5°
20.0°
22.5°
25.0°

Correct Answer: 19.5°

Solution:

Using Snell\'s law: n1 * sin(θ1) = n2 * sin(θ2). Here, n1 = 1.5, n2 = 1.0, and θ1 = 30°. Thus, sin(θ2) = (1.5 * sin(30°))/1.0 = 0.75, leading to θ2 ≈ 48.6°.

If the angle of incidence is 30° in a medium with a refractive index of 1.5, wha

Practice Questions

If the angle of incidence is 30° in a medium with a refractive index of 1.5, what is the angle of refraction in air?

19.5°
20.0°
22.5°
25.0°

Questions & Step-by-Step Solutions

If the angle of incidence is 30° in a medium with a refractive index of 1.5, what is the angle of refraction in air?

Step 1: Identify the given values. The angle of incidence (θ1) is 30°, the refractive index of the first medium (n1) is 1.5, and the refractive index of air (n2) is 1.0.
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(30°) = 1.0 * sin(θ2).
Step 4: Calculate sin(30°). It equals 0.5.
Step 5: Now substitute sin(30°) into the equation: 1.5 * 0.5 = 1.0 * sin(θ2).
Step 6: Simplify the left side: 0.75 = sin(θ2).
Step 7: To find θ2, use the inverse sine function: θ2 = sin⁻¹(0.75).
Step 8: Calculate θ2 using a calculator: θ2 ≈ 48.6°.

Refraction and Snell's Law – Understanding how light bends when it passes from one medium to another, governed by Snell's law.
Refractive Index – Knowledge of how the refractive index of different media affects the angle of refraction.
Trigonometric Functions – Application of sine function to calculate angles based on their sine values.

If the angle of incidence is 30° in a medium with a refractive index of 1.5, wha

What’s inside this PDF?

If the angle of incidence is 30° in a medium with a refractive index of 1.5, wha

Practice Questions

Questions & Step-by-Step Solutions

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