Final answer:
A 3cm object placed 100cm away from a converging lens with focal length 50cm will form an image 33.3cm away from the lens. The magnification of the image is -0.333 and the image is inverted. Ray tracing can be used to draw a diagram to show the image formation.
Step-by-step explanation:
To determine the position of the image formed by a converging lens, we can use the lens equation: 1/f = 1/do + 1/di, where f is the focal length of the lens, do is the object distance, and di is the image distance. In this case, f = 50 cm and do = 100 cm. Solving for di, we get di = 33.3 cm. Therefore, the image is formed 33.3 cm away from the lens.
To find the magnification, we can use the magnification equation: magnification = -di/do. Substituting the values, we get magnification = -33.3/100 = -0.333. The negative sign indicates that the image is inverted.
Using ray tracing, we can draw the diagram. One ray from the top of the object is drawn parallel to the principal axis and is then refracted through the focal point on the other side of the lens. Another ray is drawn through the center of the lens and continues in a straight line. The point where these two rays intersect is the location of the image.