What is Brewster's angle for a medium with a refractive index of 1.5?

₹0.0

Question: What is Brewster\'s angle for a medium with a refractive index of 1.5?

Options:

Correct Answer: 53 degrees

Solution:

Brewster\'s angle can be calculated using the formula tan(θ) = n, which gives approximately 53 degrees for n = 1.5.

What is Brewster's angle for a medium with a refractive index of 1.5?

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.

Brewster's Angle – Brewster's angle is the angle of incidence at which light with a particular polarization is perfectly transmitted through a transparent dielectric surface, with no reflection.
Refractive Index – The refractive index of a medium is a dimensionless number that describes how fast light travels in that medium compared to the speed of light in a vacuum.
Trigonometric Functions – Understanding the relationship between angles and their tangent values is crucial for calculating Brewster's angle.