Shown in the figure here is a convergent lens placed inside a cell filled with a

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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

Shown In The Figure Here Is A Convergent Lens Placed Inside ...

Options:

A . + 80 cm

B . – 80 cm

C . – 24 cm

D . –100 cm

Answer: Option D
:
D

\frac{1}{F} = \frac{1}{f_{1}} + \frac{1}{f_{2}} + \frac{1}{f_{3}}

Shown In The Figure Here Is A Convergent Lens Placed Inside ...

\frac{1}{f_{1}} = (1.6 - 1) (\frac{1}{\infty} - \frac{1}{20}) = \frac{0.6}{20} = - \frac{3}{100} . . . (i)

\frac{1}{f_{2}} = (1.5 - 1) (\frac{1}{20} - \frac{1}{- 20}) = \frac{1}{20} . . . (i i)

\frac{1}{f_{3}} = (1.6 - 1) (\frac{1}{- 20} - \frac{1}{\infty}) = - \frac{3}{100} . . . (i i i)

\Rightarrow \frac{1}{F} = - \frac{3}{100} + \frac{1}{20} - \frac{3}{100} \Rightarrow F = - 100_{c m}

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