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Image Formation by Convex Lens

A parallel be...

Question

A parallel beam of light is incident on a lens of focal length 10 cm. A parallel slab of refractive index 1.5 and thickness 3 cm is placed on the other side of the lens. find the distance of the final image from the lens.

A

11 cm

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B

9 cm

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C

4 cm

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D

15 cm

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Solution

The correct option is A 11 cm
The parallel rays will converge at $10 c m$ from the lens if no glass slab was present, but due to glass slab, shift in position of image $= t (1 - \frac{1}{μ}) = 3 (1 - \frac{1}{3 / 2}) = 3 \times \frac{1}{3} = 1 c m$
$∴$ distance of final image from lens $= 10 + 1 = 11 c m$

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