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A point object O is placed at a distance...

A point object O is placed at a distance of 20 cm from a convex lens of focal length 10 cm as shown in figure. At what distance x from the lens should a concave mirror of focal length 60 cm, placed so that final image coincides with the object ?

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Object is placed at a distance of 2f from the lens (f=focal length of the lens), i.e., the image formed by the lens will be at a distance of 2f or 20cm frm the lens.
So, if the concave mirror is placed in this position, the first image will be formed at its pole and it will reflect all the rays symmetrically to the other side as shown below and the final image will coincide with the object
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CENGAGE PHYSICS ENGLISH-GEOMETRICAL OPTICS-Exercise1.7
  1. Figure, shown two converging lenses. Incident rays are parallel to the...

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  2. In Figure., find the position of final image formed.

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  3. In Fig. what should be the value of d so that image is formed on the ...

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  4. In Fig,, if the image of object O has to coincide with itself, then w...

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  5. A convex lens of focal length 20cm is placed 10cm away from a second ...

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  6. When an object is placed at the proper distance ot the left of a conve...

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  7. A telephoto combination consists of convex lens of focal length 30cm a...

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  8. A convex lens is cut in half along its principal axis and the two halv...

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  9. A plano-convex lens is silvered on its plane side. The radius of curva...

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  10. A convex lens of focal length 10cm is placed 30 cm in front of a secon...

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  11. A concave mirror of focal length 30 cm is placed on the flat horizont...

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  12. The convex side of a thin concavo-convex lens of glass of refractive i...

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  13. The source is placed 30 cm from a convex lens which has a focal length...

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  14. If final image after two refractions through the lens and one reflecti...

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  15. A point object O is placed at a distance of 20 cm from a convex lens o...

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  16. The focal length of a thin convex-lens is 30cm. At a distance of 10 cm...

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  17. A plano-convex glass lens (mu(g)=3//2) of radius of curvature R=10cm i...

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  18. On a horizontal plane mirror, a thin equiconvex lens of glass is place...

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  19. A pin is placed 10cm in front of a convex lens of focal length 20cm, m...

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  20. A convex lens of glass (mu=1.5) is formed by combining two surfaces of...

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