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Q.

A diverging lens has a focal length of $20 cm$ . An object is with a height of $4 cm$ is placed at $20 cm$ . from the optical centre of the lens. The image is formed $10 cm$ away from it. The size and distance of the object to be placed are $2 cm$ and $20 cm$ , respectively. The image is formed,

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a

At infinity

b

At focus

F_{1}

c

Between focus

F_{1}

and optical centre

O

d

At focus

F_{2}

answer is C.

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Detailed Solution

The image is formed between focus

F_{1}

and optical centre

O

.
It is given that the focal length of the lens is

20 cm

, and the object is placed at

20 cm

from the optical centre, which means that the object is kept at the principal focus of the lens. Also, it is known that the divergent or concave lens forms virtual, diminished and erect images on the same side of the mirror when the object is kept in focus. Hence, the image is formed between focus

F_{1}

and optical centre

O

.

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