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Question : 12
Total: 12
(a) Define focal length of a spherical lens.
(b) A divergent lens has a focal length of30 cm . At what distance should an object of height 5 cm from the optical centre of the lens be placed so that its image is formed 15 cm away from the lens? Find the size of the image also.
(c) Draw a ray diagram to show the formation of image in the above situation.
(b) A divergent lens has a focal length of
(c) Draw a ray diagram to show the formation of image in the above situation.
Solution:
(a) The distance between the optical centre and focus of a spherical lens is called focal length.
(b) Given :f = − 30 cm , h i = 5 cm , h i = ?,
v = − 15 cm , u = ?
We know that,
or
=
−
=
−
u =
=
= − 30 cm .
⇒ u =
Now,
Now, m =
=
⇒ h i =
× h 0 =
× 5 = 2.5 cm .
(b) Given :
We know that,
or
Now,
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