Optics Question 589

Question: A glass convex lens $ ({\mu _{g}}=1.5) $ has a focal length of $ 8cm $ when placed in air. What would be the focal length of the lens when it is immersed in water ( $ {\mu _{w}}=1.33 $ )

[BHU 1994; MP PMT 1996]

Options:

A) 2 m

B) 4 cm

C) 16 cm

D) 32 cm

Show Answer

Answer:

Correct Answer: D

Solution:

$ \frac{f _{l}}{f _{a}}=\frac{{( _{a}}{\mu _{g}}-1)}{{( _{l}}{\mu _{g}}-1)} $

$ \frac{\sin 45^{o}}{\sin 30^{o}} $

$ \Rightarrow f _{w}=32cm $



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