Answer to Question #279079 in Physics for xieess

Question #279079

1.An object is placed 67.4 cm from the convex mirror with a focal length of 21.4 cm.Determine the image distance

1
Expert's answer
2021-12-13T10:34:15-0500

Given:

do=67.4cmd_o=67.4\:\rm cm

f=21.4cmf=-21.4\:\rm cm


The convex mirror equation says

1d0+1di=1f\frac{1}{d_0}+\frac{1}{d_i}=\frac{1}{f}

Thus

1di=1f1d0\frac{1}{d_i}=\frac{1}{f}-\frac{1}{d_0}

1di=121.4167.4=0.0616cm1\frac{1}{d_i}=\frac{1}{-21.4}-\frac{1}{67.4}=-0.0616\:\rm cm^{-1}

di=16.2cmd_i=-16.2\:\rm cm


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