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A concave mirror of focal length f1 is placed at a distance distance from the convex lens of focal length f2. A beam of light coming from infinity and falling on the convex lens-concave mirror combination returns to infinity.The distance d is 2f1 f2.How?
Verified Answer
A concave mirror of focal length f1 is placed at a distance distance f...
As you know, image form in focus , when light comes form infinity . 
so, parallel beam of light forms image at f₂ , after refraction with convex lens.
Now, image assumed like object for concave mirror, and we know, when object placed at centre of curvature , image form same position . 
Hence, it is require that concave mirror should be placed 2* focus of concave mirror from first image.
Hence, distance between convex lens and concave mirror = focal length of convex lens + 2 * focal length of concave mirror = f₂ + 2f₁ 
Hence, d = 2f₁ + f₂


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Most Upvoted Answer
A concave mirror of focal length f1 is placed at a distance distance f...

Explanation:

Setup of the Lens-Mirror Combination:
- A concave mirror of focal length f1 is placed at a distance d from a convex lens of focal length f2.
- The distance d is given as d = 2f1f2.

Behavior of Light Rays:
- When a beam of light coming from infinity falls on the convex lens, it converges at a point called the focus.
- This focused beam then reflects off the concave mirror and diverges.
- The reflected beam from the concave mirror eventually converges at a point called the focus of the concave mirror.
- The distance between the lens and mirror is crucial in determining where the final image forms.

Returning to Infinity:
- In the given scenario, the beam of light coming from infinity and passing through the lens-mirror combination returns to infinity.
- This phenomenon occurs when the final image formed is at infinity, which implies that the light rays are parallel after passing through the system.

Distance Calculation:
- The distance d = 2f1f2 is such that the combination of the convex lens and concave mirror ensures that the final image is formed at infinity.
- This specific relationship between the focal lengths of the lens and mirror, along with their distances, leads to the unique property of the light beam returning to infinity.

This setup and the calculated distance d result in the intriguing behavior of the light beam returning to infinity after passing through the lens-mirror combination.
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A concave mirror of focal length f1 is placed at a distance distance from the convex lens of focal length f2. A beam of light coming from infinity and falling on the convex lens-concave mirror combination returns to infinity.The distance d is 2f1 f2.How?
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