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Chapter 1: Problem 73

At what angle will light reflected from diamond be completely polarized?

Short Answer

Expert verified
The light reflected from a diamond will be completely polarized at an angle of approximately \(67.4°\).

Step by step solution

01

Find Brewster's angle

To find the angle at which light reflected from a diamond will be entirely polarized, we first need to find the Brewster's angle using the formula mentioned above. Plugging in the values for refractive indices of air (mass is \(n_1 = 1\)) and diamond (mass is \(n_2 = 2.42\)), we get: \(tan(\theta_B) = \frac{2.42}{1}\)
02

Calculate the angle

Now, to find the Brewster's angle \( \theta_B \), we need to find the inverse tangent (arctangent) of the value we got in the previous step: \(\theta_B = arctan(2.42)\) By calculating the arctangent of 2.42, we get the Brewster's angle: \(\theta_B \approx 67.4 \space degrees\)
03

Conclusion

The light reflected from a diamond will be completely polarized at an angle of approximately \(67.4°\).

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Most popular questions from this chapter

The light incident on polarizing sheet \(P_{1}\) is linearly polarized at an angle of \(30.0^{\circ}\) with respect to the transmission axis of \(\mathrm{P}_{1} .\) Sheet \(\mathrm{P}_{2}\) is placed so that its axis is parallel to the polarization axis of the incident light, that is, also at \(30.0^{\circ}\) with respect to \(\mathrm{P}_{1}\). (a) What fraction of the incident light passes through \(P_{1} ?\) (b) What fraction of the incident light is passed by the combination? (c) By rotating \(\mathrm{P}_{2},\) a maximum in transmitted intensity is obtained. What is the ratio of this maximum intensity to the intensity of transmitted light when \(P_{2}\) is at \(30.0^{\circ}\) with respect to \(\mathrm{P}_{1} ?\)

A ray of 610 -nm light goes from air into fused quartz at an incident angle of \(55.0^{\circ} .\) At what incident angle must \(470 \mathrm{nm}\) light enter flint glass to have the same angle of refraction?

Under what conditions can light be modeled like a ray? Like a wave?

Suppose you are using total internal reflection to make an efficient corner reflector. If there is air outside and the incident angle is \(45.0^{\circ},\) what must be the minimum index of refraction of the material from which the reflector is made?

At what angle is light inside crown glass completely polarized when reflected from water, as in a fish tank?
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