Please right legibly thank you! Two converging lenses, the first with focal leng

Question

Please right legibly thank you! Two converging lenses, the first with focal length 10.0 cm and the second with focal length 15.0 cm, are separated by 20.0 cm. An object of height 5.0 cm is placed 15.0 cm in front of the first lens. a. Where is the intermediate image formed (q_1)? b. Where is the final image formed (q_2) as measured from the second lens? c. What is the height of the final image? d. What is the orientation of the final image?(upright or inverted) __________ e. Draw a ray diagram (only necessary rays need to be drawn) of the lens combination showing the intermediate and final image.

Explanation / Answer

here,

for the first lens

focal length , f1 = 10 cm

object distance , do1 = 15 cm

let the image distance be di1

1/f1 = 1/di1 + 1/do1

1/10 = 1/di1 + 1/15

di1 = 30 cm

the intermediate image formed at 30 cm

b)

for the seccond lens

the object distance , do2 = 20 - 30 cm = - 10 cm

focal length , f2 = 15 cm

let the image distance be di2

using the lens formula

1/f2 = 1/di2 + 1/do2

1/15 = 1/di2 - 1/10

di2 = 6 cm

c)

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

hi = 5 * ( - 30/15) * ( - 6/(-10))

hi = - 6 cm

d)

the orientation of the final image is inverted

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