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  • A concave mirror for face viewing has focal length of 0.4 m. The distance at which you hold the mirror from your face in order to see your image upright with a magnification of 5 is

A concave mirror for face viewing has focal length of 0.4 m. The distance at which you hold the mirror from your face in order to see your image upright with a magnification of 5 is

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\frac{1}{v}+\frac{1}{u}=\frac{1}{f} \: \: \:\; \Rightarrow \frac{1}{v}=\frac{1}{f}-\frac{1}{u}

m=-\frac{v}{u}

\frac{1}{m}=-\frac{u}{v}

\frac{1}{m}=-u\left [ \frac{1}{f}-\frac{1}{u} \right ]

\frac{1}{m}=-\frac{u}{f}+1

u=f\left ( 1-\frac{1}{m} \right )

u=f\left ( 1-\frac{1}{m} \right )

u=\left ( 0.4 \right )\left ( 1-\frac{1}{5} \right )

u=\left ( 0.4 \right )\left ( .8 \right )

u=.32\; m

 

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avinash.dongre

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