Final answer:
The angle of reflection is 35° and the angle of refraction is 22° when a light beam in air hits a glass plate at an incidence angle of 35°, using the refractive index of glass as 1.53.
Step-by-step explanation:
The angles of reflection and refraction when a light beam in air has an angle of incidence of 35° at the surface of a glass plate are determined by the laws of reflection and Snell's Law, respectively. The law of reflection states that the angle of reflection equals the angle of incidence. Therefore, for an incidence angle of 35°, the angle of reflection is also 35°.
To find the angle of refraction, we shall use Snell's Law: n1 sin(i) = n2 sin(r), where n1 is the refractive index of the first medium (air in this case, which is approximately 1), i is the angle of incidence, n2 is the refractive index of the second medium (glass with a refractive index of 1.53), and r is the angle of refraction. Plugging the values we get:
1 * sin(35°) = 1.53 * sin(r)
sin(r) = sin(35°)/1.53
r ≈ sin⁻¹(sin(35°)/1.53)
r ≈ 22°
Therefore, the correct answers are 35° for the angle of reflection and 22° for the angle of refraction. Answer choice A is the correct one.