Question

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

37.4 degrees
40.5 degrees
53.2 degrees
67.3 degrees

Answer 1

Answer on Question #52739 - 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.

37.4 degrees

40.5 degrees

53.2 degrees

67.3 degrees

Solution:

The critical angle is given by

$$\varphi_{c} = \arcsin \frac{n_{r}}{n_{i}},$$

where $n_r$ – is the refractive index of the medium of the incident ray, and $n_i$ – is the refractive index of the medium of the refracted ray. Since $n_i = 1.54$ and $n_r = 1$, we obtain

$$\varphi_{c} = \arcsin \frac{1}{1.54} = 40.5{}^{\circ}$$

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

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