Question

Two converging lenses with focal lengths of 40 cm and 19 cm are 10 cm apart....

  1. Two converging lenses with focal lengths of 40 cm and 19 cm are 10 cm apart. A 3.2 cm tall object is 15 cm in front of the 40 cm focal-length lens. Calculate the distance between the final image and the 19 cm focal-length lens and the final image height.

Homework Answers

Answer #1

here,

for the first lens

the focal length , f1 = 40 cm

the object distance , do1 = - 15 cm

let the image distance be di1

using the lens formula

1/f1 = 1/di1 - 1/do1

1/40 = 1/di1 - 1/(-15)

solving for di1

di1 = - 24 cm

for the second lens

the focal length , f2 = 19 cm

the object distance , do2 = - 24 - 10 cm = - 34 cm

let the image distance be di2

using the lens formula

1/f2 = 1/di2 - 1/do2

1/19 = 1/di2 - 1/(-34)

solving for di2

di2 = 43.1 cm

the final image is 43.1 cm from the second lens

the object height , ho = 3.2 cm

the image height , hi = ho * ( di1 /do1) * ( di2 /do2)

hi = 3.2 * (-24 /-15) * ( 43.1 /(-34)) cm

hi = - 6.49 cm

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