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JEE Main Physics Class 12 Ray Optics and Optical Instruments Part 1 Questions
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© examsnet.com
Question : 92
Total: 99
A plano convex lens of refractive index 1.5 and radius of curvature 30 cm. Is silvered at the curved surface. Now this lens has been used to form the image of an object. At what distance from this lens an object be placed in order to have a real image of size of the object
[2004]
60 cm
30 cm
20 cm
80 cm
Validate
Solution:
The focal length
(
F
)
of the final mirror is
1
F
=
2
f
l
+
1
f
m
Using lens maker's formula
Here
1
f
l
=
(
µ
−
1
)
(
1
R
1
−
1
R
2
)
Here,
R
1
=
∞
R
2
=
30
c
m
=
(
1.5
−
1
)
[
1
∞
−
1
−
30
]
=
1
60
∴
1
F
=
2
×
1
60
+
1
30
∕
2
=
1
10
∴
F
=
10
c
m
Real image will be equal to the size of the object if the object distance
u
=
2
F
=
20
c
m
© examsnet.com
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