Help Quickly Please Calculate the critical angle between diamond (n = 2.42) and quartz (n = 1.46)? 23° 37°

Question

Help Quickly Please
Calculate the critical angle between diamond (n = 2.42) and quartz (n = 1.46)?

23°
37°
52°
60°

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Gia Bảo 3 years 2021-08-24T12:03:19+00:00 1 Answers 5 views 0

Answers ( )

    0
    2021-08-24T12:04:45+00:00

    Answer:

    Critical angle for diamond and quartz is given as

    \theta_c = 37.1 degree

    Explanation:

    As we know that the critical angle is the angle of incidence at which the light ray will refract at 90 degree angle

    so as per law of refraction we will have

    n_1 sin\theta_1 = n_2 sin\theta_2

    here we know that

    n_1 = 2.42

    n_2 = 1.46

    \theta_1 = \theta_c

    \theta_2 = 90

    now we have

    2.42 sin\theta_c = 1.46\times 1

    so we have

    \theta_c = 37.1 degree

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