Скачать или смотреть At what two points between object and screen may a converging lens with a 3.00 cm focal length be

At what two points between object and screen may a converging lens with a 3.00 cm focal length be




Converging Lens with 3.00 cm Focal Length

For a converging lens (convex lens) with a focal length of 3.00 cm, the object can be placed at two distinct points to form a real, inverted image on the screen. These positions are determined by the distance of the object relative to the lens and are based on the lens formula:

Lens Formula:
1/f = 1/d_o + 1/d_i

Where:
f = focal length of the lens (3.00 cm)
d_o = object distance (distance from object to the lens)
d_i = image distance (distance from the lens to the image formed on the screen)

The two possible positions for the object are:

1. *Object placed beyond 2f (d_o2f):*
In this case, the image is formed between f and 2f on the opposite side of the object.
The image will be *real, inverted, and smaller* than the object.
For this scenario, the object distance should be greater than 6.00 cm (since f = 3.00 cm, 2f = 6.00 cm).

2. *Object placed between f and 2f (f d_o 2f):*
In this case, the image is formed beyond 2f on the opposite side of the object.
The image will be **real, inverted, and magnified**.
For this scenario, the object distance should be between 3.00 cm and 6.00 cm.

Summary:
**Object position 1**: Beyond 6.00 cm (object placed beyond 2f), image formed between f and 2f.
**Object position 2**: Between 3.00 cm and 6.00 cm (object placed between f and 2f), image formed beyond 2f.