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Bukhovtsev-et-al-Problems-in-Elementary-Physics

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PHYSICAL OPTICS 159<br />

(for red light) with reference to the straight l<strong>in</strong>e connect<strong>in</strong>g<br />

the eye of the observer and the centre of the ra<strong>in</strong>bow.<br />

807. Expla<strong>in</strong> from a qu<strong>al</strong>itative po<strong>in</strong>t of view the appearance<br />

of a double ra<strong>in</strong>bow. How do the colours <strong>al</strong>ternate <strong>in</strong> the primary<br />

and the reflection ra<strong>in</strong>bows?<br />

808. Can a ra<strong>in</strong>bow be observed at midday <strong>in</strong> Moscow dur<strong>in</strong>g<br />

the summer solstice (on June 22)?<br />

Note. At this time the Sun is the highest above the horizon<br />

<strong>in</strong> the northern hemisphere.<br />

809. The length of a wave <strong>in</strong> water dim<strong>in</strong>ishes n times,<br />

n be<strong>in</strong>g the refraction <strong>in</strong>dex. Does this mean that a diver cannot<br />

see surround<strong>in</strong>g objects <strong>in</strong> their natur<strong>al</strong> colours?<br />

810. The word "excellent" is written on a she<strong>et</strong> of white<br />

paper with a red pencil and the word "good" with a green<br />

pencil. A green and a red pieces of glass are available. Through<br />

which glass can the word "excellent n<br />

be seen?<br />

811. Why do coated lenses (see Problem 782) have a purpleviol<strong>et</strong><br />

(lilac) t<strong>in</strong>t?<br />

812. Why do the colours of th<strong>in</strong> films (for example, oil films on<br />

water) and the colours of a ra<strong>in</strong>bow have different t<strong>in</strong>ts?<br />

813. A th<strong>in</strong> soapy film is str<strong>et</strong>ched over a vertic<strong>al</strong> frame.<br />

When the film is illum<strong>in</strong>ated by white light it shows three<br />

bands coloured purple (crimson), yellow and light-blue (bluegreen).<br />

F<strong>in</strong>d the arrangement and the order of the bands<br />

814. Why does the Moon, purely white <strong>in</strong> the daytime, have<br />

a yellowish hue after suns<strong>et</strong>?<br />

815. Why does a column of smoke ris<strong>in</strong>g above the roofs of<br />

houses seem blue aga<strong>in</strong>st the dark background of the surround<strong>in</strong>g<br />

objects, and yellow or even reddish aga<strong>in</strong>st the background of<br />

a bright sky?<br />

816. Why do the colours of moist objects seem deeper and<br />

richer than those of dry ones?

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