(a) Making use of at least two rays proceeding from the object, draw a ray diagram showing the image formed by the lens.

(b) Comment on the nature of the image: whether it is real or virtual; magnified or diminished; erect or inverted.

Justify your comment.

(c)
Another *thin *converging lens of focal lens 20 cm is kept
in contact with the above lens so that they have a common principal
axis. The object *O* is kept at 10 cm itself from the
centre of the combination of these lenses. Calculate the distance of the
image (formed by this combination) from the centre of the lens system, *making use of the law of distances*.

(d) Is the image formed in this case real or virtual? Justify your answer.

2. A thin converging lens has a focal length
of 10 cm. Calculation and construction
of a ray diagram the position of the image of an
object for
the object distance s_{o }equal to each of the following lenses, also describe whether the image is real or virtual, erect
or inverted,
magnified or diminished.

(a) 30 cm

(b) 15 cm

(c) 5.0 cm.

2. A thin diverging lens has a focal length of 10 cm. Find by (i) calculation and (ii) construction of a ray diagram the position of the image of an object for object distance equal to each of the following lenses

(a) 30 cm

(b) 4 cm

3.An object 1.0 cm high is 100 cm from a converging lens. The inverted image is 3.0 cm high. Find the focal length of the lens.

4. When a person holds a magnifying glass 8.0 cm away from an object that is 2.0 cm wide, she sees a virtual image of the object, which is 6.0 cm wide. What is the focal length of the magnifying glass?