What is the Brewster's angle for light in air (n=1) reflecting off glass (n=1.5)?
Practice Questions
1 question
Q1
What is the Brewster's angle for light in air (n=1) reflecting off glass (n=1.5)?
30 degrees
45 degrees
60 degrees
53 degrees
Brewster's angle can be calculated using the formula tan(θ_B) = n2/n1, which gives approximately 53 degrees.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the Brewster's angle for light in air (n=1) reflecting off glass (n=1.5)?
Solution: Brewster's angle can be calculated using the formula tan(θ_B) = n2/n1, which gives approximately 53 degrees.
Steps: 7
Step 1: Understand Brewster's angle. It is the angle at which light with a particular polarization is perfectly transmitted through a transparent dielectric surface, with no reflection.
Step 2: Identify the refractive indices. In this case, n1 (for air) is 1 and n2 (for glass) is 1.5.
Step 3: Use the formula for Brewster's angle: tan(θ_B) = n2/n1.
Step 4: Substitute the values into the formula: tan(θ_B) = 1.5 / 1.
Step 5: Calculate the value: tan(θ_B) = 1.5.
Step 6: Use a calculator or trigonometric table to find θ_B. Find the angle whose tangent is 1.5.
