An object is $20\mathrm{cm}$ in front of a converging lens with a focal length of $30\mathrm{cm}$. Use ray tracing to determine the location of the image. Is the image upright or inverted?

• A. Inverted
• B. There is not enough information to answer this question.
• C. Upright

Answer: (C)

Verified step by step guidance

1. Start by understanding the setup: You have a converging lens, which means it will bend light rays towards a focal point. The object is placed 20 cm in front of the lens, and the focal length of the lens is 30 cm.
2. Draw a principal axis, which is a straight horizontal line that passes through the center of the lens. Mark the focal points on both sides of the lens at 30 cm from the lens.
3. Place the object on the principal axis at 20 cm from the lens. Draw the first ray parallel to the principal axis from the top of the object towards the lens. After passing through the lens, this ray will refract and pass through the focal point on the opposite side.
4. Draw the second ray from the top of the object through the center of the lens. This ray will continue in a straight line without bending.
5. The point where the refracted ray (from step 3) and the straight ray (from step 4) intersect on the opposite side of the lens is the location of the image. Since the rays intersect below the principal axis, the image is inverted.