You are asked to design a shaving mirror assu | vedclass

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Question

(C) concave mirror is used as a shaving mirror to obtain a magnified,virtual image.Given:Object distance,$u = -10\,cm$ (placed in front of the mirror)

Vedclass · Accepted Answer

$14.28$

Vedclass · Answer

(C) concave mirror is used as a shaving mirror to obtain a magnified,virtual image.Given:Object distance,$u = -10\,cm$ (placed in front of the mirror).The image is virtual and formed at the closest comfortable distance of distinct vision,so $v = -25\,cm$.Using the mirror formula:$\frac{1}{f} = \frac{1}{v} + \frac{1}{u}$Substituting the values:$\frac{1}{f} = \frac{1}{-25} + \frac{1}{-10} = \frac{-2 - 5}{50} = \frac{-7}{50}$$f = -\frac{50}{7}\,cm$The radius of curvature $R$ is given by $R = 2f$:$R = 2 	imes (-\frac{50}{7}) = -\frac{100}{7} \approx -14.28\,cm$.The magnitude of the radius of curvature is $14.28\,cm$.

You are asked to design a shaving mirror assuming that a person keeps it $10\,cm$ from his face and views the magnified image of the face at the closest comfortable distance of $25\,cm$. The radius of curvature of the mirror would then be.....$cm$.

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