A light ray strikes a glass surface at an angle of incidence of 30 degrees. If t

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Question: A light ray strikes a glass surface at an angle of incidence of 30 degrees. If the refractive index of glass is 1.5, what is the angle of refraction?

Options:

20 degrees
30 degrees
40 degrees
50 degrees

Correct Answer: 20 degrees

Solution:

Using Snell\'s law, n1 * sin(θ1) = n2 * sin(θ2). Here, n1 = 1 (air), θ1 = 30 degrees, n2 = 1.5. Thus, sin(θ2) = (1 * sin(30))/1.5 = 1/3, giving θ2 ≈ 20 degrees.

A light ray strikes a glass surface at an angle of incidence of 30 degrees. If t

Practice Questions

A light ray strikes a glass surface at an angle of incidence of 30 degrees. If the refractive index of glass is 1.5, what is the angle of refraction?

20 degrees
30 degrees
40 degrees
50 degrees

Questions & Step-by-Step Solutions

A light ray strikes a glass surface at an angle of incidence of 30 degrees. If the refractive index of glass is 1.5, what is the angle of refraction?

Step 1: Identify the angle of incidence (θ1), which is given as 30 degrees.
Step 2: Identify the refractive index of air (n1), which is approximately 1.
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(θ1) = n2 * sin(θ2).
Step 5: Substitute the known values into the formula: 1 * sin(30 degrees) = 1.5 * sin(θ2).
Step 6: Calculate sin(30 degrees), which is 0.5.
Step 7: Now the equation looks like this: 1 * 0.5 = 1.5 * sin(θ2).
Step 8: Simplify the equation: 0.5 = 1.5 * sin(θ2).
Step 9: To find sin(θ2), divide both sides by 1.5: sin(θ2) = 0.5 / 1.5.
Step 10: Calculate 0.5 / 1.5, which equals 1/3.
Step 11: Now, find θ2 by taking the inverse sine (arcsin) of 1/3.
Step 12: Calculate θ2, which is approximately 20 degrees.

Refraction – The bending of light as it passes from one medium to another with a different refractive index.
Snell's Law – A formula used to describe the relationship between the angles of incidence and refraction when light passes between two different media.
Refractive Index – A dimensionless number that describes how fast light travels in a medium compared to vacuum.

A light ray strikes a glass surface at an angle of incidence of 30 degrees. If t

What’s inside this PDF?

A light ray strikes a glass surface at an angle of incidence of 30 degrees. If t

Practice Questions

Questions & Step-by-Step Solutions

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