NCERT Class XII Chapter
Ray Optics and Optical Instruments
Questions With Solutions

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Question : 26
Total: 38
A myopic person has been using spectacles of power – 1.0 dioptre for distant vision. During old age, he also needs to use separate reading glass of power + 2.0 dioptres. Explain what may have happened.
Solution:  
Myopic person uses spectacles of power – 1.0 dioptre or concave lens of focal length f =
1
P
= - 100 cm in order to observe clearly object at infinity.
Far point of the person can be calculated as
1
v
1
u
=
1
f
or
1
v
1
=
1
100
or v = - 100 cm
Similarly if the person uses spectacles of power + 2.0 dioptre then he must be using convex lens of power + 2.0 dioptre.
Focal length and near point can be calculated as
f =
1
p
=
1
+2
= 0.5 m = 50 cm
For near point,
1
v
1
u
=
1
f

1
v
1
25
=
1
50
or
1
v
=
1
50
1
25
1
v
=
12
50
or v = - 50 cm
Thus the person also has the defect of hypermetropia and has a near point 50 cm. So having both defects he needs different lenses for distant vision and to see closer objects.
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