☰ Contents · Physics

Total reflection problems and the prism lab

Lessons 52–53 · 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
53

Laboratory work: determining the refractive index of glass

Textbook: p. 143
GoalLab work: determine the refractive index of glass with a prism using n = sin(α + γ)/sin α.
New words
glass prism · shisha prizmarefracting angle of the prism · prizmaning sindiruvchi burchagideviation angle γ · og‘ish burchagi γprotractor · transportir
Explanation

The aim is to measure the refractive index of a glass prism. We direct a thin beam perpendicular to a side face of the prism: it is not refracted at the first face and goes straight inside the prism, reaching the second face at an angle of incidence equal to the prism’s apex angle α. On leaving the second face into air the ray is refracted and deviates from its original direction by the angle γ; the angle of refraction is then α + γ. From the law of refraction n sin α = sin(α + γ), i.e. n = sin(α + γ)/sin α. We mark the ray path before and after the prism with two pins each and measure γ with a protractor. The experiment is repeated 3 times and the mean n is taken. Pins are sharp: use them only as the teacher shows, under adult supervision, away from your face; never connect the lamp’s electric supply yourself.

Worked examples
α = 30°, γ = 19°: n = sin 49°/sin 30° ≈ 0.755/0.5 ≈ 1.51.
α = 40°, γ = 35°: n = sin 75°/sin 40° ≈ 0.966/0.643 ≈ 1.50.
Class activity

Make a table: experiment number, α, γ, α + γ, sin α, sin(α + γ), n. Find the mean n from three measurements and compare it with 1.5. Discuss the sources of error: crooked pins and the precision of angle measurement.

Practice
1
Why is a ray falling perpendicular to the first face not refracted?
2
α = 35°, γ = 24°. Estimate n (sin 35° ≈ 0.574; sin 59° ≈ 0.857).
3
Why is the experiment repeated 3 times and the mean taken?
4
Are red and violet light refracted equally in a prism?