Question #211295

A man stands 50cm from a concave mirror with radius of curvature 10cm. Find t position of the image and the magnification


1
Expert's answer
2021-06-28T17:16:02-0400

Gives

Radius of curvature=10cm

u=50cm

f=12f=-\frac{1}{2} (Radius of curvature)


f=12×10=5cmf=-\frac{1}{2} \times10=5cm

We know that

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

1v=1f1u\frac{1}{v}=\frac{1}{f}-\frac{1}{u}

1v=15150\frac{1}{v}=\frac{1}{-5}-\frac{1}{-50}

v=509=5.55cmv=-\frac{50}{9}=-5.55cm

Magnification

M=vuM=\frac{v}{u}

M=5.5550=0.12cmM=\frac{-5.55}{-50}=0.12cm


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