Question #343408
  1. A concave mirror has a 7.0 cm focal length.  A 2.4 cm object is 16.0 cm from the mirror.  Determine the image height.
1
Expert's answer
2022-05-22T14:39:22-0400

The mirror equation says

1di+1do=1f\frac{1}{d_i}+\frac{1}{d_o}=\frac{1}{f}

1do=1f1di\frac{1}{d_o}=\frac{1}{f}-\frac{1}{d_i}

1do=17.0116\frac{1}{d_o}=\frac{1}{7.0}-\frac{1}{16}

do=12cmd_o=12\:\rm cm

hiho=dido\frac{h_i}{h_o}=\frac{d_i}{d_o}

hi=hodido=2.41216=1.9cmh_i=h_o\frac{d_i}{d_o}=2.4*\frac{12}{16}=1.9\:\rm cm


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