Final answer:
The problem involves Physics and uses the thin lens equation to find where a screen should be placed relative to a projector lens for a sharp image. By calculating using the given focal length of +12.0 cm and object distance of 12.6 cm, the image distance (screen location) is determined to be to the right of the lens.
Step-by-step explanation:
The subject of this question is Physics, and the focus is on the thin lens equation to find the image distance for a slide projector lens. A slide projector with a focal length of +12.0 cm has a slide placed 12.6 cm to the left of the lens. To find where the screen should be placed to obtain a sharp image, we need to use the thin lens equation:
1/f = 1/do + 1/di
Where:
- f is the focal length of the lens,
- do is the distance of the object from the lens,
- di is the distance of the image from the lens.
Given that f = +12.0 cm (positive indicating a converging lens) and do = -12.6 cm (negative since the object is on the same side as the incoming light), we solve for di:
1/12 = 1/(-12.6) + 1/di
Solve for di to find the image distance, which shows that di will be positive, indicating that the image forms on the opposite side of the lens from the object. The correct answer is that the screen should be placed to the right of the lens at a distance we determined by solving the above equation.