Question

A candle of height h1 is placed at a distance of 30cm before a concave mirror of focal length 20cm, so that a real image of height 2.4 cm is formed. Find the position of the image. What will be the height of the object?

Answer 1

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Answer 2

Answer:

u = 30 cm

$\display \text{h _o = 1.2 cm}$

Explanation:

We have given :

Focal length = 20 cm

Image distance =  60 cm

We have to find object distance .

We know :

1 / f = 1 / v + 1 / u

Since image formed is real :

f = - 20 cm and v = - 60 cm

1 / u = 1 - 3 / 60

u = - 30 cm

Hence object distance is 30 cm .

Also given image height = 2.4 cm

We know :

h_i / h_o = - v / u

2.4 / h_o = - 60 / 20

h_o = - 1.2 cm

Hence image height is 1.2 cm .