Question

An object 3 cm high is placed at a distance of 8 cm from a concave mirror which
produces a virtual image 4.5 cm high :
What is the focal length of the mirror?
What is the position of image?
) Draw a ray-diagram to show the formation ​

Answer 1

Answer:

Height of the object (h) = 3 cm

Distance of object from concave mirror (u) = -8 cm

Height of the virtual image formed (h') = 4.5

Let's find 'v' first =

- v/u = h'/h

v = - u × h'/h

v = - ( -8) × 4.5 / 3

v = 12 cm

Therefore, the distance of the image 'v' is 12 cm behind the mirror. Thus, the focal length of the concave mirror 'f' is 24 cm.

And the diagram is ....

Explanation:

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