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Image Formation by Spherical Mirrors

A dentist use...

Question

A dentist uses a mirror in front of a decayed tooth at a distance 4cm from the tooth to get a 4 times magnified image in the mirror.Use mirror formula to find focal length and nature of the mirror used.

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Solution

Given
m = 4
=> -v/u = 4
=> v = -4u = -16 cm
Use mirror formula
-1/16 + 1/(-4) = 1/f
f = -16/5 or - 3.2 cm.
Thus its a Concave mirror.

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Q. A dentist uses a mirror in front of a decayed tooth at a distance of 4 cm from the tooth to get 4 times magnified the image. Use mirror formula to find the focal length and nature of mirror used. What is the nature of the image?

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