ᴀɴꜱᴡᴇʀ ᴛʜᴇ Qᴜᴇꜱᴛɪᴏɴ ɢɪᴠᴇɴ ɪɴ ᴛʜᴇ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ
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(a) (i) The lens which can correct the vision of such a person suffering from both myopia and hypermetropia is a bifocal lens.
(ii) A common type of bifocal lens contains both concave and convex lens. It is prepared with the upper portion consisting of a concave lens facilitating distant vision and the lower portion consisting of convex lens facilitating near vision,
(b) The power for correcting his near vision,
P(N) = +3D
As P = 1 / f (m)
∵ Focal length of convex lens needed,
f(N) = 1 / P(N) = 0.33 m
= + 33.33 cm
Power required to correct distant vision, P(D) = -3D
∵ Focal length of concave lens,
f(D) = 1/ P(D) = -0.33 m
= -33.33 cm.
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For near vision
p=1/f
f=1/p
=1/3
=0.33
For distant vision
p=1/f
f=1/p
=1/-3
=-0.33
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