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Question

A man holds a spherical shaving mirror of radius of curvature 60 cm, and focal length 30 cm, a t a distance of 15 cm, from his nose. Find the position of image, and calculate the magnification.


Solution

Radius of curvature R= -60 cm (concave mirror) 
f = -30 cm 
u= -15 cm 
We have 
1/v+1/u=1/f
1/v+1/-15=1/-30
1/v=1/15+1/-30
1/v=1/30
v=30 cm 
m=-v/u
m=-30/-15
m=2
so the image is formed 30 cm behind the mirror and the magnification is +2
 

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