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Korolek [52]
3 years ago
7

Will mark as brainliest if correct!!!!

Physics
1 answer:
Alex787 [66]3 years ago
4 0

Because light travels more quickly in D. glass than in diamond

Explanation:

Refraction is a phenomenon of light waves that occurs when a light way crosses the boundary between two different mediums. When this happens, the wave changes its direction and also its speed. In particular, there is an equation (called Snell's law) that descrives the direction of the refracted ray relative to the incident ray:

n_1 sin \theta_1 = n_2 sin \theta_2

where

n_1, n_2 are the index of refraction of medium 1 and 2, respectively

\theta_1 is the angle of incidence (the angle between the incident ray and the normal to the boundary between the two mediums)

\theta_2 is the angle of refraction (the angle between the refraction ray and the normal to the boundary between the two mediums)

The equation can also be written as

\frac{sin \theta_2}{sin \theta_1}=\frac{n_1}{n_2} (1)

The index of refraction of a medium is equal to

n=\frac{c}{v}

where

c is the speed of light in a vacuum

v is the speed of light in the medium

Using this, we can rewrite (1) as

sin \theta_2 = \frac{n_1}{n_2}sin \theta_1 = \frac{v_2}{v_1} sin \theta_1

where v_2 is the speed of light in the 2nd medium and v_1 the speed of light in the 1st medium.

Here we are comparing two situations:

1) Light passing from air to glass

2) Light passing from air to diamond

We are said that light is refracted by a greater amount when it passes from air to diamond: this means that in situation 2), the value of sin \theta_2 is smaller than in situation 1) (keep in mind that the angle is measured with respect to the normal, so a larger refraction means a smaller angle, since the refracted ray bends towards the normal). And therefore, this means that the ratio \frac{v_2}{v_1} is smaller for case 2) rather than for case 1): since v_1 in both cases is the same (the speed of light in air), this means that light travels more quickly in glass than in diamond, so option D.

In fact, by comparison:

Index of refraction in glass: 1.66

Index of refraction in diamond: 2.41

Which means that light travels faster in glass.

Learn more about refraction:

brainly.com/question/3183125

brainly.com/question/12370040

#LearnwithBrainly

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