Question

Calculate the critical angle for light passing from rock salt into air given that the refractive index of rock salt is 1.54

Answer 1

Answer on Question#82170 - Physics - Optics

Calculate the critical angle for light passing from rock salt into air given that the refractive index of rock salt is 1.54

Solution:

The critical angle $\theta_{c}$ occurs when the angle of refraction is equal to $90{}^{\circ}$ .

According to the Snell's law we obtain

$$n _ {1} \sin \theta_ {c} = n _ {2} \sin 9 0 {}^ {\circ} = n _ {2}$$ $$\theta_ {c} = \mathrm {a s i n} \frac {n _ {2}}{n _ {1}}$$

Since $n_1 = 1.54$ and $n_2 = 1$ , we obtain

$$\theta_ {c} = \mathrm {a s i n} \frac {1}{1 . 5 4} = 4 0. 5 {}^ {\circ}$$

Answer: $40.5{}^{\circ}$ .

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