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Question

Shown in the figure here is a convergent lens placed inside a cell filled with a liquid . The lens has focal length +20 cm when in air and its material has refractive index 1.50. If the liquid has refractive index 1.60, the focal length of the system is
1122152_093c9368e424406685a1e717f9d2bc3c.png

A
+80 cm
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B
-80 cm
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C
-24 cm
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D
-100 cm
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Solution

The correct option is C -100 cm
Focal length of lens= +20cm
Refractive Index in air= 1.5
Refractive Index in liquid= 1.6
F=?

By using, 1f=(u1)(1R1R2)
1f1=(1.61)(1120)
=3100(1)
1f2=(1.51)(120120)
=120(2)
1f3=(1.61)(1201)=3100(3)
Therefore,
1f=1f1+1f2+1f3
=3100+1203100
=60+10020003100
F=100cm

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