Image formed by three different lenses A, B and C and their natures are given in the table below.
| Lenses | Position of Object | Nature of image |
| A | Beyond 2F | Real, diminished and inverted |
| B | In between F and O | Virtual, Magnified and erected |
| C | In between F and 2F | Virtual, diminished and erected |
- Which of two lenses among them can be used in the remedy of long sightedness?
- Draw a ray diagram for the image formed assuming 3 cm focal length of lens B.
- Write the nature of image formed by the lens C when object is kept at 2F of it.
Solution
1.Ans:
Here,
From the information given from table,
In lens A when the position of image is beyond 2F it forms real, diminished and inverted image. Similarly, in lens B when the position of image is between F and O it forms virtual, magnified and erected image. Hence, lenses A and B are convex lenses.
Thus, lenses A and B can be used in the remedy of long sightedness as they help converge the rays of light on retina form closer objects for formation of their clear image.
2.Ans:

Here, \(\rm OF_{1}\)= \(\rm OF_{2}\) = \(\rm 3cm\)
So, \(\rm O2F_{1}\)= \(\rm O2F_{2}\) = \(\rm 6cm\), This should be the measurement when ray diagram is drawn.
3.Ans:
Here, from the table it is identified that lens C is a concave lens.
Concave lenses always produce virtual, upright, and diminished images, regardless of the object's position.
Hence, nature of image formed by the lens C when object is kept at 2F of it is also virtual, erected and diminished.
But, comparatively to the given condition, the image will be more diminished when kept at 2F.