Question

question 1 (1 point)
what is the relationship between the angle of incidence and the angle of reflection?
○ the angle of incidence is smaller than the angle of reflection
○ it depends on the angle
○ the angle of incidence is greater than the angle of reflection
○ they are equal

question 2 (1 point)
what is the maximum angle of refraction going from air to water?
○ 25 degrees
○ 60 degrees
○ 49 degrees
○ 70 degrees

Explanation:

Question 1

In the law of reflection, the angle of incidence (the angle between the incident ray and the normal) is equal to the angle of reflection (the angle between the reflected ray and the normal) when light reflects off a smooth surface. So the correct option is the one stating they are equal.

When light travels from air (lower refractive index, \(n_{air}\approx1\)) to water (higher refractive index, \(n_{water}\approx1.33\)), the maximum angle of refraction occurs when the angle of incidence is \(90^{\circ}\) (grazing incidence). Using Snell's law \(n_1\sin\theta_1 = n_2\sin\theta_2\), where \(n_1 = n_{air}=1\), \(\theta_1 = 90^{\circ}\) (so \(\sin\theta_1 = 1\)), and \(n_2 = n_{water}=1.33\). Then \(\sin\theta_2=\frac{n_1\sin\theta_1}{n_2}=\frac{1\times1}{1.33}\approx0.7519\), and \(\theta_2=\arcsin(0.7519)\approx49^{\circ}\).

Answer:

D. They are equal

Question 2