Optics Question 819

Question: A convex lens is in contact with concave lens. The magnitude of the ratio of their focal length is 2/3. Their equivalent focal length is 30 cm. What are their individual focal lengths?

Options:

A) -15, 10

B) -10, 15

C) 75, 50

D) -75, 50

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $ \frac{|f _{1}|}{|f _{1}|}=\frac{2}{3} $

$ f _{1}: $ focal length of convex lens. $ \frac{1}{f}=\frac{1}{f _{1}}-\frac{1}{f _{2}} $

$ \Rightarrow \frac{1}{30}=\frac{1}{f _{1}}-\frac{1}{3f _{1}} $

$ f _{1}=10cm,f _{2}=-15cm $



NCERT Chapter Video Solution

Dual Pane