Solving an Optics Problem: Convex Lens, Plane Mirror, and Virtual Image

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SUMMARY

The discussion revolves around solving a geometrical optics problem involving a convex lens and a plane mirror. The lens formula, 1/v - 1/u = 1/f, was applied, resulting in a virtual image located 30 cm to the left of the lens. This image then acts as an object for the plane mirror, leading to a final virtual image positioned 60 cm to the right of the mirror. The initial confusion regarding the answer options was clarified through the application of ray diagrams.

PREREQUISITES
  • Understanding of the lens formula (1/v - 1/u = 1/f)
  • Knowledge of convex lens properties
  • Familiarity with plane mirror image formation
  • Ability to interpret ray diagrams in optics
NEXT STEPS
  • Study the derivation and applications of the lens formula in various scenarios
  • Explore the properties of virtual images formed by mirrors and lenses
  • Learn how to construct and analyze ray diagrams for complex optical systems
  • Investigate the effects of lens curvature on image formation
USEFUL FOR

Students and educators in physics, particularly those focusing on optics, as well as anyone seeking to deepen their understanding of image formation through lenses and mirrors.

thunderhadron
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Hi friends,

I am sticking in a problem of Geometrical OPTICS,
The problem is as https://fbcdn-sphotos-e-a.akamaihd.net/hphotos-ak-snc6/285225_2890687243573_1306065782_n.jpg

Attempt -

Here for the convex lens applying the lens formula
1/v - 1/u = 1/f

so, 1/v = 1/u + 1/f

1/v = - 1/15 + 1/30 (since I have taken the left side as negative)

after solving this v = - 30 cm.

The image of the object will be 30 cm. far from the lens and left side of the lens and now this image will work as an object for the plane mirror. Its distance from the plane mirror will be 45 cm which is left of the it so it is real as far as I am concerned.

So from the mirror property now its Final image will be 60 cm right of it and will be virtual.

I think that the answer of the question is given wrong cause it is giving the answer options (B) & (C).

Please friends help me in solving this issue.
Thank you all in advance.
 
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Draw the rays going through the lens and then reflected by the mirror. Do they really intersect in front of the mirror?

ehild
 
Thank you very much ehild.

I got the answer.
 

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