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3 years ago

Help please!

Physics

1 answer:

kipiarov [429]3 years ago

3 0

<h2>Answer: Diamond</h2>

Explanation:

This described situation is known as Refraction, a phenomenon in which the light bends or changes it direction when passing through a medium with a index of refraction different from the other medium.

In this context, the index of refraction is a number that describes how fast light propagates through a medium or material.

According to Snell’s Law:

$n_{1}sin(\theta_{1})=n_{2}sin(\theta_{2})$ (1)

Where:

$n_{1}=1$ is the first medium index of refraction (air)

$n_{2}$ is the second medium index of refraction (the value we want to know)

$\theta_{1}=27\°$ is the angle of the incident ray

$\theta_{2}=11\°$ is the angle of the refracted ray

Now, let's find $n_{2}$ from (1):

$n_{2}=n_{1}\frac{sin(\theta_{1}}{sin(\theta_{2}}$ (2)

Substituting the known values:

$n_{2}=(1)\frac{sin(27\°)}{sin(11\°)}}$

Finally:

$n_{2}=2.379\approx 2.4$

If we compare this result with the given table, the index of refraction value that is close to this number is diamond's index of refraction.

Therefore, the correct option is A: the material is diamond.

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