Question

A typical diamond is cut as shown in (Figure 1). A ray of light has entered the flat window at the top of the diamond perpendicular to the surface, as shown in the figure.

Answer 1

Based on the calculations, the angle relative to the incoming direction is equal to 82°.

How to calculate the angle?

Based on scientific records and the information provided, we know that the refractive index of diamond is 2.42 and the incident angle (Ia) is 41°.

Next, we would determine the total refraction angle by applying Snell's law:

n₁sini = n₂sinr

2.41sini = 1 × sin90

2.41sini = 1

i = sin⁻¹(1/2.42)

i = 24.41°.

Since Ia is greater than i (41 > 24.41), the ray will pass through the same medium and makes an angle of 41° (normal).

Therefore, the angle relative to the incoming direction is given by:

θ₁ = 41 + 41

θ₁ = 82°.

Read more on refraction here: brainly.com/question/15838784

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Complete Question:

A typical diamond is cut as shown in (Figure 1). A ray of light has entered the flat window at the top of the diamond perpendicular to the surface, as shown in the figure. At what angle relative to the incoming direction is the ray reflected from the first interaction with the surface of the diamond?