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Ray Optics and Optical Instruments

  1. A biconvex lens has a radius of curvature of magnitude 20 cm. Which one of the following options best describe the image formed of an object of height 2 cm placed 30 cm from the lens? ​
    1. Virtual, upright, height = 1 cm
    2. Virtual, upright, height = 0.5 cm ​
    3. Real, inverted, height = 4 cm ​
    4. Real, inverted, height = 1cm
Correct Option: C

R = 20 cm ​
h0 = 2
​u = –30 cm ​

We have,
1
= (μ - 1)
1
-
1
fR1R2

=
3
- 1
1
- -
1
22020

1
=
3
- 1 ×
2
f220

∴ f = 20 cm
=
1
=
1
-
1
1
=
1
+
1
fvu20v30

1
=
1
-
1
=
10
v2030600

v = 60 cm
m =
hi
=
v
h0u

⇒ hi =
v
× h0 =
60
× 2 = - 4 cm
u30

So, image is inverted.



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