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in Optics by (15 points)
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A point like object is placed at a distance of \( 1 m \) in front of a convex lens of focal length \( 0.5 m \). A plane mirror is placed at a distance of \( 2 m \) behind the lens. The position and nature of the final image formed by the system is : 

A) 2.6m from mirror, real

B) 1m from the mirror, virtual

c) 1m from the mirror, real

D) 2.6m from the mirror, virtual

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1 Answer

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by (56.8k points)

For first reflection at convex lens

Real image is formed at 1m from the lens.

This image acts as an object for the plane mirror after reflection, it's image is formed at 1m behind the plane mirror at I′

The image at I′ is the virtual object for the convex lens.

So, μ = −3m for I′

f = +0.5m for I′

For second refraction at convex lens.

For v = \(\frac 35\)​ = 0.6  (towards left of lens).

So distance from mirror ⇒ 2 + 0.6 = 2.6m  (real image)

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