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

₹0.0

📥 Instant PDF Download
♾ Lifetime Access
🛡 Secure & Original Content

What’s inside this PDF?

Question: A ray of light 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? (2022)

Options:

20 degrees
30 degrees
40 degrees
50 degrees

Correct Answer: 20 degrees

Exam Year: 2022

Solution:

Using Snell\'s law, n1 * sin(i) = n2 * sin(r). Here, n1 = 1 (air), i = 30 degrees, n2 = 1.5 (glass). Therefore, sin(r) = (1 * sin(30))/1.5 = 0.333. Thus, r = sin^(-1)(0.333) ≈ 19.5 degrees, which is approximately 20 degrees.

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

Practice Questions

A ray of light 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? (2022)

20 degrees
30 degrees
40 degrees
50 degrees

Questions & Step-by-Step Solutions

A ray of light 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? (2022)

Step 1: Identify the angle of incidence (i), 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(i) = n2 * sin(r).
Step 5: Substitute the known values into the formula: 1 * sin(30 degrees) = 1.5 * sin(r).
Step 6: Calculate sin(30 degrees), which is 0.5.
Step 7: Substitute this value into the equation: 1 * 0.5 = 1.5 * sin(r).
Step 8: Simplify the equation: 0.5 = 1.5 * sin(r).
Step 9: Divide both sides by 1.5 to isolate sin(r): sin(r) = 0.5 / 1.5.
Step 10: Calculate 0.5 / 1.5, which equals approximately 0.333.
Step 11: Use the inverse sine function to find r: r = sin^(-1)(0.333).
Step 12: Calculate sin^(-1)(0.333) to find the angle of refraction, which is approximately 19.5 degrees.
Step 13: Round the angle of refraction to the nearest whole number, which is approximately 20 degrees.

Refraction – The bending of light as it passes from one medium to another, described by Snell's law.
Snell's Law – A formula used to calculate the angle of 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 ray of light strikes a glass surface at an angle of incidence of 30 degrees. I

What’s inside this PDF?

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

Practice Questions

Questions & Step-by-Step Solutions

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?