Laser light from the Doppler sensor travels through air with a refractive index of n1 and into a glass block at an incident angle of θ1. The refractive index of the glass block is n2, and the angle of refraction is θ2. What is the ratio of n1 to n2?A.θ2θ1θ2θ1B.sinθ2sinθ1sinθ2sinθ1C.θ1θ2θ1θ2D.sinθ1sinθ2
Question
Laser light from the Doppler sensor travels through air with a refractive index of n1 and into a glass block at an incident angle of θ1. The refractive index of the glass block is n2, and the angle of refraction is θ2. What is the ratio of n1 to n2?A.θ2θ1θ2θ1B.sinθ2sinθ1sinθ2sinθ1C.θ1θ2θ1θ2D.sinθ1sinθ2
Solution
The ratio of n1 to n2 can be found using Snell's Law, which states that the ratio of the sine of the angles of incidence and refraction is equivalent to the ratio of the velocities of light in the two media, or equivalently, to the opposite ratio of the indices of refraction.
Mathematically, this is expressed as:
n1 * sin(θ1) = n2 * sin(θ2)
Rearranging for the ratio of n1 to n2 gives:
n1/n2 = sin(θ2)/sin(θ1)
So, the correct answer is B. sin(θ2)/sin(θ1).
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