☰ Contents · Physics

Speed of light, laws of reflection and refraction

Lessons 48–49 · 2 lessons · P. Habibullayev, A. Boydedayev, A. Bahromov, K. Suyarov, J. Usarov, M. Yuldasheva. Physics Grade 9, revised and expanded 3rd edition. G‘afur G‘ulom Publishing House, Tashkent, 2019
49

Laws of reflection and refraction of light

Textbook: pp. 134–137
GoalKnow the light ray, the laws of geometric optics, the laws of reflection and refraction and the absolute refractive index n = c/v, and use them.
New words
light ray · yorug‘lik nuriangle of reflection · qaytish burchagiangle of refraction · sinish burchagiabsolute refractive index n · absolyut sindirish ko‘rsatkichi n
Explanation

A geometric line showing the direction of energy transfer of light is called a light ray. Geometric optics rests on four laws: rectilinear propagation of light (which forms shadows), independence of rays (they do not affect each other when they cross), reflection and refraction. The law of reflection: the incident ray, the reflected ray and the perpendicular at the point of incidence lie in one plane, and the angle of reflection equals the angle of incidence, γ = α. A smooth surface reflects specularly (a mirror), a rough one diffusely. The law of refraction: sin α / sin β = n₂₁ = n₂/n₁ = v₁/v₂. The absolute refractive index is n = c/v (air ≈ 1, water 1.33, glass about 1.5, diamond 2.42). When entering an optically denser medium (greater n) the ray bends toward the perpendicular (β < α), and when entering a rarer one it bends away. A ray falling along the perpendicular is not refracted.

Worked examples
A ray goes from air (n = 1) into glass (n = 1.5) at 30°: sin β = sin 30°/1.5 = 0.5/1.5 ≈ 0.333, β ≈ 19.5°.
The speed of light in glass is v = c/n = 3·10⁸/1.5 = 2·10⁸ m/s.
Class activity

Experiment: in a dark room, direct the beam of a small torch (with an adult; never a powerful laser) onto a plane mirror at different angles and measure the angle between the incident and reflected rays with a protractor. Compare α and γ. Never shine light into anyone’s eyes.

Practice
1
State the law of reflection.
2
If the angle between the incident and reflected rays is 110°, what is the angle of incidence?
3
Light passes from air into water (n = 1.33) at 40°. Is the angle of refraction larger or smaller?
4
Why does a coin in a glass of water look higher?