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Two point sources S₁ and S₂ are 24cm apart. Where should a convex lens of focal length 9cm be placed in between them so that the image is of both sources are formed at the same place [Take real image for S₁]

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At 6cm from S₂

At 24cm from S₁

At 6cm from S₁

At 18cm from S₁

answer is A.

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Detailed Solution

$\frac{1}{v} - \frac{1}{u} = \frac{1}{f}$

For $S_{1} : \frac{1}{y} + \frac{1}{x} = \frac{1}{9}$
For $S_{2} : \frac{1}{y} + \frac{1}{24 - x} = \frac{1}{9}$
$∴ x = 6 cm$

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