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Light enters a substance from air at an angle of 32 degrees, and continues at an angle...

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lkehoe | Valedictorian

Posted April 24, 2013 at 11:00 PM via web

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Light enters a substance from air at an angle of 32 degrees, and continues at an angle of 23 degrees.  What is the index of refraction of the substance?

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quirozd | High School Teacher | (Level 3) Adjunct Educator

Posted April 25, 2013 at 1:37 AM (Answer #1)

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Answer: 47.5°

This is similar to another post. You can review the concept there - the link is in the reference.

Snell's Law and the Critical angle formula combine...

Make sure to keep track of which object is which. The following formula will work if and only if we make sure that `n_2 gt n_1`

`sin(\theta_c) = sin(\theta_2)/sin(\theta_1)`

where n is the index of refraction.

Therefore, we let `n_1 ` = air and `n_2` is our substance. This leads us to \theta_1 = 32^o and \theta_2 = 23^o

Thus...

`sin(\theta_c) = sin(23)/sin(32) rArr\theta_c = 47.5^o`

Hope that helps!

 

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