Answer to Question #209861 in Physics for MIKAY19

Question

1.   Determine the image distance and image height for a 5-cm tall object placed 45.0 cm from a double convex lens having a focal length of 15.0 cm. (di = 22.5 cm and hi = -2.5 cm )

Answer 1

$1/d_0+1/d_i=1/f\to 1/0.45+1/d_i=1/0.15\to d_i=0.225\ (m)=22.5\ (cm)$

$d_0/d_i=-H_0/h_i\to h_i=-H_0d_i/d_0=-0.05\cdot0.225/0.45=-0.025\ (m)=-2.5\ (cm)$