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$\bullet$$\bullet$ A parallel-sided plate of glass having a refractive index of 1.60 is in contactwith the surface of water in a tank. A ray coming from above makes an angle of incidence of $32.0^{\circ}$ with the top surface of the glass. What angle does this ray make with the normal in the water?

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$23.479^{\circ}$

Physics 102 Electricity and Magnetism

Physics 103

Chapter 23

Electromagnetic Waves and Propagationof Light

Electromagnetic Waves

Reflection and Refraction of Light

Cornell University

University of Washington

Simon Fraser University

University of Sheffield

Lectures

02:30

In optics, ray optics is a geometric optics method that uses ray tracing to model the propagation of light through an optical system. As in all geometric optics methods, the ray optics model assumes that light travels in straight lines and that the index of refraction of the optical material remains constant throughout the system.

10:00

In optics, reflection is the change in direction of a wavefront at an interface between two different media so that the wavefront returns into the medium from which it originated. Common examples include the reflection of light, sound and water waves. The law of reflection says that for specular reflection the angle at which the wave is incident on the surface equals the angle at which it is reflected. Reflection may also be referred to as "mirror image" or "specular reflection". Refraction is the change in direction of a wave due to a change in its speed. The refractive index of a material is a measure of its ability to change the direction of a wave. A material with a higher refractive index will change the direction of a wave to a greater degree than a material with a lower refractive index. When a wave crosses the boundary between two materials with different refractive indices, part of the wave is refracted; that is, it changes direction. The ratio of the speeds of propagation of the two waves determines the angle of refraction, which is the angle between the direction of the incident and the refractive rays.

02:51

A parallel-sided plate of …

01:44

A plate of glass with para…

02:08

04:45

A horizontal, parallel-sid…

01:23

A horizontal, parallelside…

01:30

$\bullet$ A glass plate ha…

03:24

$\bullet$ A beam of light …

00:52

A light ray strikes a flat…

02:07

Light hits the surface of …

02:48

A parallel beam of light i…

03:53

(II) An aquarium filled wi…

In this problem, we are going to calculate this theta, so we have this read. Diagram. Theta is the angle between this normal and where in air theta is the angle between normal and in glass and theta. W is the angle between normal and ruin water. So, in order to calculate this theta w, let me apply the snellin. This interfere. We can write here an a sine theta of a equals to n g sine theta of g. We call this equation as 1 here n a is the reflective index of this air and n g is the reflective index of this glass. We can apply the same light in the fens b, so we can write an g sine theta g equals to n w sine theta of w. We call this equation as equation. Number 2 point: now: comparing these 2 equations, we can write and a sine theta a equals to and w sine theta w. Now, by solving the question for theta w, we can write theta w equals to sine inverse of n a divided by n g. Sorry and w and w, and then there will be sine theta a well. We call this equation as equation. Number 3. Now inserting the values into this equation, we can write theta w equals to sine inverse of 1.00 divided by 1.33. Sine theta is the value of 32.0 degree, so this will give us the value for theta w s theta w equals to 23.42 degree. This is our required answer. Thank you.

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