Optics Question 658

An object has image thrice of its original size when kept at 8 cm and 16 cm from a convex lens. Focal length of the lens is 16 cm

[UPSEAT 2001]

Options:

A) 8 cm

B) 16 cm

C) Between 8 cm and 16 cm

D) Less than 8 cm

Show Answer

Answer:

Correct Answer: C

Solution:

m = ± 3, using $ m=\frac{f}{f+u} $

For virtual image $ \frac{3}{1}=\frac{f}{f-8} $ …..(i)

For real image $ -3=\frac{f}{f+16} $ …..(ii)

Solving (i) and (ii) we get $ f=12,\text{cm} $



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