10. The Human Eye and the Colourful World
Complete solutions to the intext questions and exercises. CBSE Class 10 Science (NCERT).
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Intext Questions (Page 164)
The ability of the eye lens to adjust its focal length is called the power of accommodation. The ciliary muscles change the curvature of the eye lens. This helps us to see both nearby and distant objects clearly.
The person should use a concave lens (diverging lens) of suitable power.
Its focal length should be equal to the far point, i.e. f = −1.2 m. So its power is P = 1/(−1.2) = −0.83 D.
Far point: Infinity
Near point: 25 cm from the eye
The child is suffering from myopia (near-sightedness). The child can see nearby objects clearly but not distant objects.
It can be corrected by using spectacles with a concave lens of suitable power. The concave lens brings the image back on to the retina.
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Exercises
Answer: (b) accommodation.
Answer: (d) retina.
Answer: (c) 25 cm.
Answer: (c) ciliary muscles.
(i) Distant vision (P = −5.5 D)
(ii) Near vision (P = +1.5 D)
A concave lens is needed. It should form the image of a far object (at infinity) at the far point.
1/f = 1/v − 1/u = 1/(−80) − 0, so f = −80 cm = −0.8 m
P = 1/f = 1/(−0.8) = −1.25 D
(a) Hypermetropic eye: the image of a near object is formed behind the retina. (b) Correction with a convex lens.
A convex lens is used. It should form the image of an object at 25 cm at the near point of the eye (100 cm).
1/f = 1/v − 1/u = −1/100 + 1/25 = (−1 + 4)/100 = 3/100
f = 100/3 cm = 33.3 cm = 0.333 m
P = 1/f = 1/0.333 = +3 D
A convex lens of power +3 D is required.
The focal length of the eye lens cannot be decreased below a certain limit. So the eye lens cannot focus the image of an object closer than 25 cm on the retina. The object looks blurred and the eye gets strained.
The image distance in the eye does not change. The image is always formed on the retina. When the object moves away, the ciliary muscles relax. The eye lens becomes thinner and its focal length increases. So the image still forms on the retina.
Light from a star passes through the atmosphere before reaching us. The atmosphere has layers with different refractive indices, and they keep changing. So the light from the star refracts again and again. The apparent position of the star changes slightly. The amount of light entering our eye also changes. So the star looks sometimes brighter and sometimes fainter. This is twinkling.
Planets are much closer to the earth than stars. So a planet acts like an extended source, a collection of many point sources. The changes in light from all these points cancel each other. So the average brightness stays the same, and planets do not twinkle.
The sky looks blue because of scattering of light by particles in the atmosphere. At very high altitudes there is almost no atmosphere. So there is no scattering of light. That is why the sky appears dark to an astronaut.