Question

A 2cm high object is placed at a distance of 32 cm from a concave mirror. The image is real inverted and 3cm in size. Find the focal length of the mirror and the position where the image is formed

Answer 1

=> Distance between pole and object = u

= - 32 cm

=> Distance between pole and image = v

=> Focal length of concave mirror = f

=> Magnification of concave mirror = -hi/ho = -v/u

• Calculation :

=> Magnification = -hi/ho = -(-3)/2 = 1.5

=> Magnification = -v/u = 1.5

-v = 1.5 * 32

v = -48 cm

=> Mirror formula 1/f = 1/u + 1/v

1/f = -1/32 - 1/48

1/f = -80/1536

f = -19.2 cm

• Answer :

Position of image (v) = -48 cm

Focal length (f) = -19.2 cm

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