1) A converging lens has a focal length of f = 24.6 cm. If an object is placed 39.2 cm from the lens, where will the image be formed?
Because the lens is converging with f = +24.6 cm and the given object distance is 39.2 cm, we can use the equation i = (of)/(o-f) which gives us i = (39.2 * 24.6)/(39.2-24.6) for the final answer of the image being formed at 66.05 cm.
2) For a converging lens of focal length f, find the object distance d in terms of f if the image is located at a distance d = 1.8f.
The lens formula, 1/f = 1/d + 1/i can be used to find the object distance, d, in terms of f. It becomes 1/f = 1/d + 1/(1.8f). For a final answer, we have d = 2.25f.
3) If the object is infinitely far from a converging lens with focal length f, where will the image be located?
If the object is infinitely far from a converging lens with focal length f, the image will be located on the focal plane on the other side of the lens. This is because when light comes from 'infinity', it diverges at the focus of the convex lens.