**Refraction of Monochromatic Light**When a ray of monochromatic light with a frequency of 5.09 x 10^14 Hz travels from a medium of water into another medium (labeled as X), the light undergoes refraction at the interface of the two media. In this scenario:- The angle of incidence in water is 45°.- The angle of refraction in medium X is 29°, as depicted in the diagram below.**Diagram of Refraction**:- A ray of light is shown traveling from the water into medium X.- The interface between the water and medium X is indicated by a horizontal line.- The incident ray in the water medium forms an angle of 45° with the normal (a dashed vertical line).- The refracted ray in medium X forms an angle of 29° with the normal.**Objective**:Calculate the absolute index of refraction of medium X. Be sure to show all work, including the equations and substitution with units.**Formula and Calculation**:To find the index of refraction of medium X, we use Snell's Law, which is defined as:\[ n_1 \sin(\theta_1) = n_2 \sin(\theta_2) \]In this equation:- \( n_1 \) is the index of refraction of the first medium (water).- \( \theta_1 \) is the angle of incidence in the first medium (45°).- \( n_2 \) is the index of refraction of the second medium (medium X).- \( \theta_2 \) is the angle of refraction in the second medium (29°).Given:- The index of refraction of water, \( n_1 \), is approximately 1.33.We rearrange the formula to solve for \( n_2 \) (index of refraction of medium X):\[ n_2 = \frac{n_1 \sin(\theta_1)}{\sin(\theta_2)} \]Substitute the known values into the equation:\[ n_2 = \frac{1.33 \sin(45°)}{\sin(29°)} \]Using the sine values:\[ \sin(45°) \approx 0.707 \]\[ \sin(29°) \approx 0.484 \]Now, substitute these values:\[ n_ **Question:**(b) Based on your calculation from 3B.39, what material could Medium X possibly be made of?**Answer:***Provide your answer in the space below.*

Light is incident from water to a medium X. We need to find the refractive index of Medium X based…

A ray of monochromatic light of frequency 5.09x10 hertz is traveling from water into medium X. The angle of incidence in water is 45 and the angle of refraction in medium X is 29°, as show 12 (a) Normal 45° Water Medium X 29° Calculate the absolute index of refraction of X. Show all work, including the equation and substitution with units

A ray of monochromatic light of frequency 5.09x10 hertz is traveling from water into medium X. The angle of incidence in water is 45 and the angle of refraction in medium X is 29°, as show 12 (a) Normal 45° Water Medium X 29° Calculate the absolute index of refraction of X. Show all work, including the equation and substitution with units

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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