A person suffering from hypermetropia has near point as `100 cm`.The focal length of the lens to correct his vision is
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The focal length of a lens suggested to a person with Hypermetropia is 100cm. Find the distance of near point and power of the lens.
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Given: The focal length of a lens suggested to a person with Hypermetropia is 100cm.
To find the distance of near point and power of the lens.
Solution:
Let the distance of near point be ’d’ and focal length be 'f=100cm' then
f=
d−25
25d
cm
⟹100(d−25)=25d
⟹100d−25d=2500
⟹d=
75
2500
⟹d=
3
100
=33.33cm
Hence the distance of near point will be 33.33cm
We know,
Power, P=
f
1
D, f is in metres
⟹P=
100×10
−2
1
⟹P=1D
is the power of the lens.
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