CBSE Class 10 Science 2019 Outside Delhi Set 2

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Question : 5 of 11
 
Marks: +1, -0
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=+5D
We have,
Power, P=1f( in meter )
+5=1f
f=15m
=1005=20cm
Focal length, f=20cm(or+20cm ).
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=vu
v=−u
From the lens formula,
1v−1u=1f
−1u+1u=1f
−2u=1f
u=−2f
u=−2×20[∵f=20cm]
=−40cm.
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