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An industrial physicist wishes to specify the properties of a concave makeup mirror, which is supposed to provide an upright and enlarged image of the user's face. The physicist wants a magnification factor of two, and he assumes that the user's face will be 28 cm in front of the mirror. What radius of curvature should be specified (in cm) for the fabrication of these mirrors?

Respuesta :

Answer:56 cm

Explanation:

Given

Magnification (m)=2

Object distance(u)=-28 cm

Also magnification is m[tex]=\frac{-v}{u}[/tex]

[tex]2=\frac{v}{28}[/tex]

v=56 cm

Using Mirror Formula

[tex]\frac{1}{f}=\frac{1}{v}+\frac{1}{u}[/tex]

[tex]\frac{1}{f}=\frac{1}{56}+\frac{-1}{28}[/tex]

f=-56 cm

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