A convex lens of focal length 8 cm forms a real image of the same size as the object. The distance between object and its image will be:(a) 8 cm (b) 16 cm (c) 24 cm (d) 32 cm

 (d) 32 cm

Explanation

When an object is placed at $2F'$ in front of the convex lens, then the image formed is real, inverted, same size as the object, and at $2F$ on the right side of the lens.

Here,

$f$ (focal length) is given 8 cm, then the $2f$ will be 16cm $(2\times {8})$.

So, Object distance from the lens = 16 cm (as object is at $2f$)

Then, Image distance from the lens = 16 cm (as image is formed at $2f$ on the right side of the lens)

Thus, the distance between the image and the object = $16+16=32cm$.

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Updated on: 10-Oct-2022

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