What is Brewster's angle for a medium with a refractive index of 1.5?
Practice Questions
Q1
What is Brewster's angle for a medium with a refractive index of 1.5?
30 degrees
45 degrees
60 degrees
53 degrees
Questions & Step-by-Step Solutions
What is Brewster's angle for a medium with a refractive index of 1.5?
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: Know the formula to calculate Brewster's angle: tan(θ) = n, where θ is Brewster's angle and n is the refractive index of the medium.
Step 3: Identify the refractive index given in the question, which is n = 1.5.
Step 4: Substitute the value of n into the formula: tan(θ) = 1.5.
Step 5: Use a calculator or trigonometric tables to find θ. You need to calculate the arctan(1.5).
Step 6: The result of arctan(1.5) is approximately 56.31 degrees, which is Brewster's angle for a medium with a refractive index of 1.5.
