Optics Question 677

Question: An object placed 10 cm in front of a lens has an image 20 cm behind the lens. What is the power of the lens (in dioptres)

[MP PMT 1995]

Options:

A) 1.5

B) 3.0

C) ? 15.0

D) + 15.0

Show Answer

Answer:

Correct Answer: D

Solution:

$ u=-10\ cm,\ \ v=20\ cm $

$ \frac{1}{f}=\frac{1}{v}-\frac{1}{u}=\frac{1}{20}-( -\frac{1}{10} )=\frac{3}{20}\Rightarrow f=\frac{20}{3}\ cm $

Now $ P=\frac{100}{f}=\frac{100}{20/3}=+\ 15\ D $



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