Optics Question 652

Question: A double convex thin lens made of glass of refractive index 1.6 has radii of curvature 15 cm each. The focal length of this lens when immersed in a liquid of refractive index 1.63 is

[UPSEAT 2000; Pb. PET 2004]

Options:

A) - 407 cm

B) 250 cm

C) 125 cm

D) 25 cm

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Answer:

Correct Answer: A

Solution:

$ \frac{f _{l}}{f _{a}}=\frac{{( _{a}}{\mu _{g}}-1)}{{( _{l}}{\mu _{g}}-1)} $ ; $ f _{a}=\frac{R}{2({\mu _{g}}-1)}=\frac{15}{2(1.6-1)}=12.5 $

$ \Rightarrow $ $ \frac{f _{l}}{12.5}=\frac{(1.6-1)}{( \frac{1.6}{1.63}-1 )}\Rightarrow f _{l}=-407.5 $ $ cm $



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