What is the Brewster's angle for light in air (n=1) reflecting off glass (n=1.5)

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Question: What is the Brewster\'s angle for light in air (n=1) reflecting off glass (n=1.5)?

Options:

Correct Answer: 53 degrees

Solution:

Brewster\'s angle can be calculated using the formula tan(θ_B) = n2/n1, which gives approximately 53 degrees.

What is the Brewster's angle for light in air (n=1) reflecting off glass (n=1.5)?

What is the Brewster's angle for light in air (n=1) reflecting off glass (n=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: 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.
Step 7: The result is approximately 53 degrees.

Brewster's Angle – The angle at which light with a particular polarization is perfectly transmitted through a transparent dielectric surface, with no reflection.
Refraction Index – The ratio of the speed of light in a vacuum to the speed of light in a medium, which affects the calculation of Brewster's angle.
Polarization of Light – The orientation of the oscillations of light waves, which is relevant when discussing reflection and transmission at interfaces.