In the following problems:

  1. Sketch a ray diagram that will check your answer
  2. Write down the given/find/formula/substitution/answer… All work must be shown or no credit will be given…
  3. Radius of curvature is equal to 2 times the focal point.
  4. Use the lens equation… 1/f= 1/do + 1/di ….M= -di/do = hi/ho
  5. Remember … f is positive for converging lens/mirror and negative for diverging lens/mirrors
  6. do is always positive and measured from the lens or mirror
  7. di is positive for real images and negative for virtual images
  1. In Alaska, the top of Mount McKinley has been seen from the top of Mount Sanford, a distance of 370 km..An object is 370 km from a giant concave mirror. If the focal length of the mirror is 2.5 X 102 km, what are the object’s distance and magnification?
  2. A human hair is about 80.0 µm thick. If one uses a concave mirror with a focal length of 2.5 cm and obtains an image of -59.0 cm, how far has the hair been placed from the mirror? What is the magnification of the hair?
  3. Quick Bird is the first commercial satellite designed for forming high resolution images of objects on Earth. Suppose the satellite is 100 km above the ground and uses a concave mirror to form a primary image of a 1.00m object. If the image sixe is 4.0 µm and the image is inverted, what is the mirror’s radius of curvature?
  4. The radius of Earth is 6.4 x 103 km. The moon is about 3.84 x105 km away from Earth and has a diameter of 3475 km. The Pacific Ocean surface, which can be considered a convex mirror, forms a virtual image of the moon. What is the diameter of that image?
  5. The Largest starfish ever discovered had a diameter of 1.38m. Suppose an object of this sixe is placed 6.0m in front of a convex mirror. If the image formed is just 0.9 cm in diameter, what is the radius of curvature of the mirror?
  6. The common musk turtle, also called a “stinkpot,” has a length of 7.6 cm at maturity. Suppose a turtle with this length is placed in front of a diverging lens that has a 14cm focal length. IF the turtle’s image is 4.0 cm across, how far is the turtle from the lens?
  7. The ocean sunfish, Mola mola, produces up to 30 x106 eggs at a time. Each egg is about 1.3mm in diameter. How far from a magnifying glass with a focal length of 6.0 cm should an egg be placed to obtain an image 5.2 mm in size? How far is it between the image and the lens?
  8. Tests done by the staff of Popular Photography magazine revealed the zoom lenses available in stores have a focal length different from what is written on them. Suppose one of these lenses, which is identified as having a focal length of 210 mm, yields an upright image of an object located 117 mm away. If the image magnification is 2.4, what is the true focal length of the lens?
  9. Humming birds eggs, which have an average size of 10 mm, are the smallest eggs laid by any bird. Suppose an egg is placed 12.cm from a magnifying glass. A virtual image with a magnification of 3.0 is produced. What is the focal length of the lens?
  10. The tallest man in history, Robert Wadlaw, was 2.7 m tall. The smallest woman in history, Pauline Musters, had a height of 0.55m. Suppose Wadlaw is 5.0 m from a converging lens, if his image is the same size as Muster, what is the focal length of the lens?