A light ray strikes a glass slab at an angle of incidence of 45 degrees. If the

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Question: A light ray strikes a glass slab at an angle of incidence of 45 degrees. If the refractive index of glass is 1.5, what is the angle of refraction?

Options:

30 degrees
45 degrees
60 degrees
90 degrees

Correct Answer: 30 degrees

Solution:

Using Snell\'s law, n1 * sin(i) = n2 * sin(r). Here, sin(r) = (1 * sin(45)) / 1.5 = 0.471, giving r ≈ 28 degrees.

A light ray strikes a glass slab at an angle of incidence of 45 degrees. If the

Practice Questions

A light ray strikes a glass slab at an angle of incidence of 45 degrees. If the refractive index of glass is 1.5, what is the angle of refraction?

30 degrees
45 degrees
60 degrees
90 degrees

Questions & Step-by-Step Solutions

A light ray strikes a glass slab at an angle of incidence of 45 degrees. If the refractive index of glass is 1.5, what is the angle of refraction?

Correct Answer: 28 degrees

Step 1: Identify the angle of incidence (i), which is given as 45 degrees.
Step 2: Identify the refractive index of air (n1), which is approximately 1.0.
Step 3: Identify the refractive index of glass (n2), which is given as 1.5.
Step 4: Write down Snell's law formula: n1 * sin(i) = n2 * sin(r).
Step 5: Substitute the known values into the formula: 1.0 * sin(45 degrees) = 1.5 * sin(r).
Step 6: Calculate sin(45 degrees), which is approximately 0.707.
Step 7: Substitute this value into the equation: 1.0 * 0.707 = 1.5 * sin(r).
Step 8: Rearrange the equation to solve for sin(r): sin(r) = 0.707 / 1.5.
Step 9: Calculate the value of sin(r), which is approximately 0.471.
Step 10: Use the inverse sine function to find angle r: r ≈ arcsin(0.471).
Step 11: Calculate the angle r, which is approximately 28 degrees.

Refraction and Snell's Law – Understanding how light bends when it passes from one medium to another, governed by the refractive indices of the two media.
Trigonometric Functions – Applying sine functions to calculate angles based on the relationship defined by Snell's law.

A light ray strikes a glass slab at an angle of incidence of 45 degrees. If the

What’s inside this PDF?

A light ray strikes a glass slab at an angle of incidence of 45 degrees. If the

Practice Questions

Questions & Step-by-Step Solutions

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