### Lenses Homework

1. Use a ray diagram to locate the image formed: A 1 cm high object is located 6 cm in front of a concave lens having a 10 cm focal length.
2. Use a ray diagram to locate the image formed: A 4 cm high object is located 10 cm in front of a concave lens having a 16 cm focal length.
3. Use a ray diagram to locate the image formed: A 3 cm object is located 9 cm in front of a convex lens having a 6 cm focal length.
4. Use a ray diagram to locate the image formed: A 2 cm object is located 4 cm in front of a convex lens having an 8 cm focal length.
5. Use a ray diagram to locate the image formed: A 0.6 cm object is located 1 cm in front of a magnifying glass having a 2 cm focal length.

Mathematically determine the image distance, the image height, and the magnification ratio. Describe the image formed, relating image and object distance, image and object height, and type of image, and image orientation.

1. A 6 cm object is located 30 cm in front of a convex lens having a focal length of 10 cm. Ans: 15 cm; -3 cm; -0.5
2. A 2 cm object is located 4 cm in front of a convex lens having a focal length of 6 cm. Ans: -12 cm; 6 cm; 3
3. A 1 cm object is located 5 cm in front of a concave lens having a focal length of 4 cm. Ans: -2.22 cm; 0.44; 0.44
4. A 2 cm object is located 8 cm in front of a diverging lens having a focal length of 3 cm. Ans: -2.18 cm; 0.55 cm; 0.28
5. A camera lens having an 8 cm focal length is 10 cm from the film. The image will be formed on the film. Where must an object be located in order for this picture to be in sharp focus? Ans: 40 cm away