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Question : 5
Total: 11
The power of a lens in +5 diopters. What is the nature and focal length of this lens ? At what distance from this lens should an object be placed so as to get its inverted image of the same size?
Solution:
Given, P = + 5 D
We have,
Power, P =
+ 5 =
f =
m
=
= 20 cm
Focal length,f = 20 cm ( o r + 20 cm ).
Since, focal length of the lens is positive.
Therefore, the nature of lens is convex.
Same size and inverted image is formed when
Magnification,m = − 1
Also,
m =
v = − u
From the lens formula,
−
=
−
+
=
=
u = − 2 f
u = − 2 × 20 [ ∵ f = 20 cm ]
= − 40 cm .
We have,
Focal length,
Since, focal length of the lens is positive.
Therefore, the nature of lens is convex.
Same size and inverted image is formed when
Magnification,
Also,
From the lens formula,
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