lenses

2010-03-26 9:05 am
A small seed is placed in front of two thin symmetrical coaxial lenses 1 and 2,
with focal lengths f1 = +24.0 cm and f2 = +9.0 cm, respectively, and with lens
separation L = 10 cm. The seed is 6.0 cm from lens 1. Describe the properties of the image.

回答 (1)

2010-03-26 5:07 pm
✔ 最佳答案
Apply the thin lens formula to lens 1: 1/u + 1/v = 1/f
with u = 6 cm, f = 24 cm, v = ?
hence, 1/6 + 1/v = 1/24
solve for v gives v = -8 cm
The image formed is thus virtual and 8 cm in front of the lens on the same side as the object.

Distance of image from lens 2 = (10 + 8) cm = 18 cm
Apply the thin lens formula to lens 2,
with u = 18 cm, f = 9 cm, v = ?
hence, 1/18 + 1/v = 1/9
solve for v gives v = 18 cm

The final image is therefore real, inverted, located at distance 18 cm behind lens 2 and of the same size as the object.

2010-03-26 20:16:59 補充:
Just a little clarification. The final image is of the same size as the first image (object of lens 2) . Because the first image is larger in size than the object. The final image is thus larger than the object.
The "object" in the last sentence in the post thus refers to the "object of lens 2".


收錄日期: 2021-04-29 17:33:51
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20100326000051KK00075

檢視 Wayback Machine 備份