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Q.

The focal length of a concave mirror is 2.5 cm. In order to use this concave mirror as a dentist’s mirror, the distance of tooth from the mirror be?

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a

2.5 cm

b

1.5 cm

c

4.5 cm

d

3.5 cm 

answer is B.

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Detailed Solution

The focal length of a concave mirror is 2.5 cm. In order to use this concave mirror as a dentist’s mirror, the distance of the tooth from the mirror be 1.5 cm.
A concave mirror is used by dentists in order to get an enlarged image of teeth. To get an enlarged image of the concave mirror, the object should be placed between the principal focus and the centre of curvature. The tooth wants to be magnified to see clearly. To form a magnified image of the tooth by a concave mirror, the object, i.e. tooth, must be placed within the focus. Therefore the distance of the tooth from the mirror should be less than the focal length (less than 2.5cm). So, in the given option, the correct value is 1.5 cm. Hence, the distance of the tooth from the mirror should be less than 2.5 cm, i.e. here, 1.5 cm.
    
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