/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 21 Find the refractive index of a m... [FREE SOLUTION] | 91影视

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Chapter 30: Problem 21

Find the refractive index of a material for which the polarizing angle in air is \(62^{\circ}\)

Short Answer

Expert verified
The refractive index of the material is approximately \(1.88\).

Step by step solution

01

Understand Brewster's law

Brewster's law is represented by the equation \( \tan(p) = n \), where \( p \) is the polarizing angle (known as Brewster's angle) and \( n \) is the refractive index of the material.
02

Plug in the known values

We are given that the polarizing angle \( p = 62^{\circ} \). So, substitute this into the Brewster's law equation.
03

Calculate the refractive index

Using a calculator, find the tangent of 62 degrees (make sure your calculator is in degrees mode): \( \tan(62^{\circ}) \).
04

Round off the result and conclude

Round off the calculated result to an appropriate number of decimal places. This will give the refractive index of the material.

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Most popular questions from this chapter

In cataract surgery, ophthalmologists replace the eye's natural lens with a synthetic intraocular lens, or IOL. A particular IOL has refractive index \(1.452 .\) Find the angle of refraction for a light ray striking this lens with incidence angle \(77.0^{\circ} .\) The medium before the IOL is the eye's aqueous humor, a liquid with \(n=1.337.\)

To what angular accuracy must two ostensibly perpendicular mirrors be aligned so that an incident ray returns within \(1^{\circ}\) of its incident direction?

Why are polarizing sunglasses better than glasses that simply reduce the total amount of light?

What is the critical angle for light propagating in glass with \(n=1.52\) when the glass is immersed in (a) water, (b) benzene, and (c) diiodomethane?

A cylindrical tank \(2.4 \mathrm{m}\) decp is full to the brim with water. Sunlight first hits part of the tank bottom when the rising Sun makes a \(22^{\circ}\) angle with the horizon. Find the tank's diameter.
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