Q.

A 3 cm high object is placed on the principal axis of a concave mirror at a distance of 12 cm from the pole.  If the image is inverted, real and 6 cm high.  The location of the image and the focal length of the mirror is

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a

30 cm, 8.6 cm

b

24 cm, 8 cm

c

30 cm, 10 cm

d

10 cm, 30 cm

answer is B.

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Detailed Solution

hIh0=m=-vu ⇒-63=-v-12⇒v=-24cm∴f=uvu+v⇒-12-24-12-24=8cm
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A 3 cm high object is placed on the principal axis of a concave mirror at a distance of 12 cm from the pole.  If the image is inverted, real and 6 cm high.  The location of the image and the focal length of the mirror is