Question #290861

 An object is placed at the zero-mark of a meterstick while its image appears at the +15 cm mark using 

a convex mirror with a focal length of magnitude |𝑓𝑓| = 10 cm. Where is the mirror placed?


Expert's answer

f=10cm

v=15

Mirror equation

1f=1u+1v\frac{1}{f}=\frac{1}{u}+\frac{1}{v}

1u=1fβˆ’1v\frac{1}{u}=\frac{1}{f}-\frac{1}v

1u=110βˆ’115\frac{1}{u}=\frac{1}{10}-\frac{1}{15}

u=15Γ—1015βˆ’10=30cmu=\frac{15\times10}{15-10}=30cm


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