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1 May, 13:09

What is the critical angle for a ray trying to pass from ice (n = 1.31) into air?

(Unit=deg)

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Answers (1)
  1. 1 May, 15:07
    0
    49.8°

    Explanation:

    Data obtained from the question include:

    n (refractive index) = 1.31

    C (critical angle) = ?

    The refractive index and the critical angle are related by the following equation:

    n = 1/sineC

    Now, using the above equation, we can easily find the value of the critical angle as show below:

    n = 1/sineC

    1.31 = 1/sineC

    Cross multiply to express in linear form as shown below:

    1.31 x sineC = 1

    Divide both side by 1.31

    sineC = 1/1.31

    sineC = 0.7634

    Take the inverse of sine of both side

    C = sine^-1 (0.7634)

    C = 49.8°

    Therefore, the critical angle is 49.8°
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