Answer:
42°
Explanation:
From the question given above, the following data were obtained:
Refractive index (n) = 1.5
Critical angle (C) =?
The refractive index and the critical angle are related according to the following reaction:
n = 1 / Sine C
Thus, with the above formula, we can obtain the critical angle as follow:
Refractive index (n) = 1.5
Critical angle (C) =?
n = 1 / Sine C
1.5 = 1 / Sine C
Cross multiply
1.5 × Sine C = 1
Divide both side by 1.5
Sine C = 1 / 1.5
Sine C = 0.6667
Take the inverse of sine
C = Sine¯¹ (0.6667)
C = 41.8 ≈ 42°
Thus, the critical angle is approximately
42°.
