### Educational Content on RefractionA light ray enters a rectangular block of plastic at an angle \( \theta_1 = 47.2^\circ \) and emerges at an angle \( \theta_2 = 76.6^\circ \), as illustrated in the figure.#### Diagram Explanation:- **Figure Description**: The diagram shows a light ray being refracted as it passes through a rectangular block labeled with \( n \), which denotes the index of refraction of the plastic.- **Angle Indication**: - \( \theta_1 \) represents the angle of incidence as the light ray enters the plastic. - \( \theta_2 \) represents the angle of refraction as the light ray exits the plastic.- **Distance \( L \)**: \( L \) is the vertical distance from the light ray entry point to the bottom edge of the plastic, prescribed as 50.0 cm.#### Tasks:(a) **Determine the index of refraction of the plastic**: - Use Snell's law, \( n_1 \sin(\theta_1) = n_2 \sin(\theta_2) \), assuming the light is coming from air where \( n_1 \approx 1 \).(b) **Calculate the travel time of the light ray through the plastic**: - With given \( L = 50.0 \) cm, calculate the time taken for the light to travel using the speed of light in the material, i.e., \( v = \frac{c}{n} \), where \( c \) is the speed of light in vacuum. Note: Answer boxes are provided for each part where the calculated values can be entered.

A light ray enters a rectangular block of plastic at an angle 0₁ = 47.2° and emerges at an angle 0₂ = 76.6°, as shown in the figure below. n (a) Determine the index of refraction of the plastic. (b) If the light ray enters the plastic at a point L = 50.0 cm from the bottom edge, how long does it take the light ray to travel through the plastic? ns

A light ray enters a rectangular block of plastic at an angle 0₁ = 47.2° and emerges at an angle 0₂ = 76.6°, as shown in the figure below. n (a) Determine the index of refraction of the plastic. (b) If the light ray enters the plastic at a point L = 50.0 cm from the bottom edge, how long does it take the light ray to travel through the plastic? ns

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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Concept explainers

Dispersion of White Light

Snell’s law is a formula that gives a relation between the angle of incidence and angle of refraction and is given as:

Question

### Educational Content on Refraction

A light ray enters a rectangular block of plastic at an angle \( \theta_1 = 47.2^\circ \) and emerges at an angle \( \theta_2 = 76.6^\circ \), as illustrated in the figure.

#### Diagram Explanation:
- **Figure Description**: The diagram shows a light ray being refracted as it passes through a rectangular block labeled with \( n \), which denotes the index of refraction of the plastic.
- **Angle Indication**:
- \( \theta_1 \) represents the angle of incidence as the light ray enters the plastic.
- \( \theta_2 \) represents the angle of refraction as the light ray exits the plastic.
- **Distance \( L \)**: \( L \) is the vertical distance from the light ray entry point to the bottom edge of the plastic, prescribed as 50.0 cm.

#### Tasks:
(a) **Determine the index of refraction of the plastic**:
- Use Snell's law, \( n_1 \sin(\theta_1) = n_2 \sin(\theta_2) \), assuming the light is coming from air where \( n_1 \approx 1 \).

(b) **Calculate the travel time of the light ray through the plastic**:
- With given \( L = 50.0 \) cm, calculate the time taken for the light to travel using the speed of light in the material, i.e., \( v = \frac{c}{n} \), where \( c \) is the speed of light in vacuum.

Note: Answer boxes are provided for each part where the calculated values can be entered.

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