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Q.

A concave mirror has a focal length of 25 cm. At which of the following distance should a person hold his face from this concave mirror so that it may act as a shaving mirror?


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a

45 cm

b

20 cm

c

25 cm

d

30 cm  

answer is B.

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Detailed Solution

A concave mirror has a  focal length of 25 cm. At a 20 cm distance should, a person should hold his face from this concave mirror so the mirror can be used as a shaving mirror.
 Here P is the pole, and F is the focal length. The distance between and P is 25 cm. For shaving, we need an enlarged and erect (virtual) image. Hence, only when the object is placed between the focal length and the pole can we achieve an erect and magnified image. Therefore 20 cm will be the possible option.
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