☰ Contents · Physics

Lenses. Prism and rainbow

Lessons 58–59 · 2 lessons · N.Sh. Turdiyev. Physics Grade 6, 3rd revised edition. Niso Poligraf Publishers, Tashkent, 2017
58

Lenses

Textbook, pp. 146–147
GoalKnow the lens, its kinds (convex, concave), focus, focal length and optical power D = 1 : F; explain uses of lenses.
New words
lens · linzaconverging and diverging lens · yig‘uvchi va sochuvchi linzafocal length (F) · fokus masofasi (F)optical power, dioptre · optik kuch, dioptriya
Explanation

A lens is a transparent body bounded on two sides, or one side, by a spherical surface (usually glass). If it is thicker in the middle than at the edges it is a convex lens, if thinner in the middle a concave lens. The straight line through the centres of the spherical surfaces is the principal optical axis. Rays parallel to the axis meet at a point — the focus (F) — after a convex lens, so it is called a converging lens; rays after a concave lens spread out, and their extensions meet at the (virtual) focus, so it is a diverging lens. The distance from the lens’s optical centre to the focus is the focal length F. The reciprocal of the focal length is the optical power: D = 1 : F; its unit is the dioptre (D); if F = 1 m, D = 1 dioptre. For a concave lens D is negative. A convex lens gives an upright, enlarged, virtual image when the object is nearer than F (a magnifying glass) and an inverted real image farther than F. Lenses are used in spectacles, magnifying glasses, microscopes, telescopes, cameras and in the lens of our eye. Safety: never focus sunlight with a lens onto paper, cloth or skin, and never look at the Sun through a lens.

Worked examples
If F = 0.5 m, D = 1 : 0.5 = 2 dioptres.
A lens with D = 4 dioptres has focal length F = 1 : 4 = 0.25 m = 25 cm.
Class activity

Experiment: magnify letters on a page with a magnifying glass; move the lens away from the page and catch the inverted image of the view outside the window on white paper. Measure the focal length. Safety: do not point a magnifier toward the Sun; never leave a magnifier on paper on a summer day — fire risk.

Practice
1
How do we tell convex and concave lenses apart?
2
A lens has focal length 25 cm (0.25 m). What is its optical power in dioptres?
3
A lens has D = 5 dioptres. What is its focal length in cm?
4
Why does a magnifier enlarge writing in a book?