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Two point sources S(1) and S(2) are 24 c...

Two point sources `S_(1)` and `S_(2)` are 24 cm apart. What should a convex lens of focal length 9 cm be placed between them so that the images of both sources formed at the same place ?

Text Solution

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In this case one of the image will be real and other virtual. Let us assume that image of `S_(1)` is real and that of `S_(2)` is virtual.
Applying `1/y + 1/x =1/9` For `S_(1):1/y + 1/x=1/9 to (1)`
for `S_(2):- 1/y + 1/(24+x) =1/9to (2)`
solving eqs.(1) and (2), we get x=6cm
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