Study the diagram and answer the questions that follow it:


Which defect of vision is represented in this case? Give reason for your answer.


The given figure represents hypermetropia because the image of an object placed at the near point is formed behind the retina. 

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How can we determine the focal length and power of the convex lens required to correct a hypermetropic eye?

Calculation of focal length and power of correcting lens in hypermetropia: Refer to Fig. Let y = distance of the near point N' from the defective eye. Now the near point N of the normal eye is at distance D = 25 cm. The object placed at N forms its virtual image at N' due to the convex lens.

Calculation of focal length and power of correcting lens in hypermetr

therefore                             u = -D,     v = -y,     f = ?
By lens formula
                                  1 over straight f space equals space 1 over straight v minus 1 over straight u space equals space fraction numerator 1 over denominator negative straight y end fraction minus fraction numerator 1 over denominator negative straight D end fraction space equals space fraction numerator straight y minus straight D over denominator straight y space straight D end fraction
therefore     Required focal length,   straight f space equals space fraction numerator straight y space straight D over denominator straight y minus straight D end fraction
          Required power,    straight P space equals space 1 over straight f space equals space fraction numerator straight y minus straight D over denominator yD end fraction
As y > D, so both f and D are positive. That is the correcting lens must be a convex lens.


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What is presbyopia? Write two causes of this defect.

Presbyopia: A person suffering from presbyopia can see the distant objects distinctly but, cannot see the near-by objects clearly. In this case, power of accomodation usually recedes with ageing.

Stiffening of the ciliary muscles results in losing the flexibility of eyelens. Hence, accomodating power of the lens decreases. 

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Why do some people use bi-focal lenses?

People who suffer from both myopia and hypermetropia require bi-focal lenses. The upper part of the bi-focal lens is a concave lens used for distant vision, while its lower part is a convex lens used for reading purposes.

These defects can also be corrected via surgeries or by using contact lenses. 

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What is astigmatism? How is it caused? How is it corrected?
or
What is astigmatism and how is this vision defect counteracted?


Astigmatism: It is a defect of vision in which a person cannot simultaneously see both the horizontal and vertical views of an object with the same clarity.
Cause of astigmatism: This defect occurs when the cornea of the eye is not perfectly spherical. This results in objects in one direction being well focussed while those in perpendicular direction are not well focussed.
Correction of astigmatism: Astigmatism can be corrected by using cylindrical lenses. They have different curvatures in horizontal and vertical directions and so they can be oriented suitably to compensate for the irregularities in the cornea, as shown in Fig.

Astigmatism: It is a defect of vision in which a person cannot simult

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