Question

An object of 1 cm height produces a real image 1.5 cm high when

placed at a distance of 15 cm from a concave mirror. Calculate the

position of the image and the focal length of the mirror.

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Answer 1

Answer:

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Object high H1 = 1cm

Image height  H2 = 1.5cm

Object distance u = -15cm (object is taken behind the mirror)

Since, magnification = image height/object height,

M = H2/H1 = 1.5/1 = 1.5

Since, also, magnification = image distance/ object distance

=> 1.5 = image distance/-15

=> image distance = -22.5cm

=>22.5 cm behind the mirror