First slide

Ray optics

Question

Two point sources $S_{1}$ and $S_{2}$ are 24cm apart where should a convex lens of focal length 9 cm be placed in between
them so that the images of both sources are formed at the same place

Difficult

A

8 cm
B

6 cm
C

10 cm
D

12 cm

Solution

$w h e n b o t h w i l l p r o d u c e i m a g e a t t h e s a m e p l a c e o n e w i l l b e r e a l a n d o t h e r w i l l b e v i r t u a l i f d i s \tan c e o f o n e o b j e c t f r o m t h e l e n s i s x o t h e r w i l l b e 24 - x f o r o n e o b j e c t \frac{1}{x} + \frac{1}{v} = \frac{1}{9} - - - - (1) f o r o t h e r \frac{1}{24 - x} - \frac{1}{v} = \frac{1}{9} - - - - - (2) s o l v i n g w e g e t x = 6 o r 18$

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