My Learning Cart
?
Categories
Account

A ray of light passes from air into water at an angle of incidence of 30 degrees

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: A ray of light passes from air into water at an angle of incidence of 30 degrees. What is the angle of refraction?

Options:

  1. 22 degrees
  2. 30 degrees
  3. 45 degrees
  4. 18 degrees

Correct Answer: 22 degrees

Solution: 

Using Snell\'s law, n1 * sin(θ1) = n2 * sin(θ2). Here, n1 = 1 (air), n2 = 1.33 (water), θ1 = 30 degrees. Thus, sin(θ2) = (1 * sin(30))/1.33 = 0.375. Therefore, θ2 = sin^(-1)(0.375) which is approximately 22 degrees.

A ray of light passes from air into water at an angle of incidence of 30 degrees

Practice Questions

Q1
A ray of light passes from air into water at an angle of incidence of 30 degrees. What is the angle of refraction?
  1. 22 degrees
  2. 30 degrees
  3. 45 degrees
  4. 18 degrees

Questions & Step-by-Step Solutions

A ray of light passes from air into water at an angle of incidence of 30 degrees. 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 indices: n1 for air is 1 and n2 for water is 1.33.
  • Step 3: Write down Snell's law formula: n1 * sin(θ1) = n2 * sin(θ2).
  • Step 4: Substitute the known values into the formula: 1 * sin(30 degrees) = 1.33 * sin(θ2).
  • Step 5: Calculate sin(30 degrees), which is 0.5.
  • Step 6: Now the equation looks like: 0.5 = 1.33 * sin(θ2).
  • Step 7: Rearrange the equation to find sin(θ2): sin(θ2) = 0.5 / 1.33.
  • Step 8: Calculate 0.5 / 1.33, which equals approximately 0.375.
  • Step 9: Use the inverse sine function to find θ2: θ2 = sin^(-1)(0.375).
  • Step 10: Calculate θ2, which is approximately 22 degrees.
  • Refraction – The bending of light as it passes from one medium to another with a different density.
  • Snell's Law – A formula used to describe the relationship between the angles of incidence and refraction when light passes between two different media.
  • Index of Refraction – A dimensionless number that describes how fast light travels in a medium compared to vacuum.
Soulshift Feedback ×

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

Not likely Very likely
Home Practice Performance eBooks