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

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Question : 9
Total: 38
An object of size 3.0 cm is placed 14 cm in front of a concave lens of focal length 21 cm. Describe the image produced by the lens. What happens
if the object is moved further away from the lens?
Solution:  
Object of size 3 cm is placed 14 cm in front of concave lens.
Lens formula,
1
v
1
u
=
1
f


1
v
1
14
=
1
21

1
v
= -
1
21
-
1
14
=
23
42

v = -
42
5
= - 8.4 cm
Formula for magnification
m =
I
O
= +
v
u
or
I
O
=
v
u
or
I
+3
=
8.4
14

⇒ I = + 1.8 cm
So, the image is virtual, erect, of the size 1.8 cm and is located 8.4 cm from the lens on the same side as object.
As the object is moved away from the lens, the virtual image moves towards the focus of the lens but never beyond it. The image also reduces in size as shift towards focus.
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