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A laser beam is traveling from glass, n=1.76, to an unknown material. The incident angle is 25 degrees and the refracted angle is 35 degrees. Calculate the index of refraction for the unknown material.

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Answer:

The index of refraction can be calculated using Snell's law:

n1sin(theta1) = n2sin(theta2)

where n1 and theta1 are the index of refraction and angle of incidence in the first medium (glass), and n2 and theta2 are the index of refraction and angle of refraction in the second medium (unknown material).

Plugging in the given values:

1.76sin(25) = n2sin(35)

Solving for n2:

n2 = (1.76*sin(25))/sin(35)

n2 ≈ 1.29

Therefore, the index of refraction for the unknown material is approximately 1.29.

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