Optics Question 809

Question: Two point source S1 and S2 are 24 cm apart. Where a convex lens of focal length 9 cm should be placed in between them so that the images of both sources are formed at the same place?

Options:

A) 6 cm from S1

B) 15 cm from S1

C) 10 cm from S1

D) 12 cm from S1

Show Answer

Answer:

Correct Answer: A

Solution:

[a] In this case, one of the image will be real and the other virtual.

Let us assume that image of S1 is real and that of S2 is virtual.

Applying 1v1u=1f F

or S1:1y+1x=19 ..(i)

For S2:1y+124x=19 -(ii)

Solving eqs. (i) and (ii), we get x=6cm



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