Question

How far from the second lens will the final image be located for two convex lens system if the object is 64 cm from the first lens the lenses are separated by 86 cm and the focal length of both lenses is 22 cm?

Equation:

Answer:

Answer 1

here,

for the first lens ,

the object distance, do1 = 64 cm

the focal length , f1 = 22 cm

let the image distance be di1

using the lens formula

1/f1 = 1/di1 + 1/do1

1/22 = 1/di1 + 1/64

solving for di1

di1 = 33.52 cm

for the second lens ,

the object distance, do2 = 86 - di1 = 52.48 cm

the focal length , f2 = 22 cm

let the image distance be di2

using the lens formula

1/f2 = 1/di2 + 1/do2

1/22 = 1/di2 + 1/52.48

solving for di2

di2 = 37.88 cm

the image is 37.88 cm to the right of second lens