Answer
a) $d_i=15.1cm$
$m=0.116$
$h_i=0.278cm$
Real image
b) $d_i=-12.23cm$
$m=0.094$
$h_i=-0.226cm$
Virtual image
Work Step by Step
a) $h_o=2.4cm$
$d_o=130cm$
$f=13.5cm$
$d_i=\frac{1}{\frac{1}{f}-\frac{1}{d_o}}=\frac{1}{\frac{1}{13.5cm}-\frac{1}{130cm}}=15.1cm$
$m=\frac{d_i}{d_o}=\frac{15.1cm}{130cm}=0.116$
Real image
$h_i=h_om=(2.4cm)(0.116)=0.278cm$
b) $f=-13.5cm$
$d_i=\frac{1}{\frac{1}{f}-\frac{1}{d_o}}=\frac{1}{\frac{1}{-13.5cm}-\frac{1}{130cm}}=-12.23cm$
$m=\frac{d_i}{d_o}=\frac{-12.23cm}{130cm}=0.094$
Virtual image
$h_i=h_om=(2.4cm)(0.094)=-0.226cm$