A dentist uses a mirror in front of a decayed tooth at a distance of 4 cm from tooth to get 4 times magnified image. Use mirror formula to find focal length and nature of image and nature of mirror.
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u=-4cm, m=-v/u= 4 (magnification is positive because the image formed is virtual erect and an enlarged image)
v/4=4 so v=16cm
using the mirror formula
1/f=1/u+1/v
-1/4+1/16=1/f
1/f=-3/16
f=-16/3
f= -5.33cm
v/4=4 so v=16cm
using the mirror formula
1/f=1/u+1/v
-1/4+1/16=1/f
1/f=-3/16
f=-16/3
f= -5.33cm
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