Use the lens equation and magnification ratio to solve the following problems.
Harlem works at the Jewelry store in the mall. A client brings in a gem for evaluation. Harlem places it under a microscope that is equipped with a converging lens having a focal length of 10.3 cm. The microscope produces a virtual image of the gem located 42.1 cm from the lens. Determine the magnification of the image. Enter a - answer if appropriate.
Magnification
A 3.08-cm tall object is placed a distance of 21.9 cm from the surface of a converging lens. A real image is formed 31.0 cm from the lens. Determine the focal length of the lens. Enter a – answer if appropriate.
Focal Length
cm
The widest cinema screen in the world was reportedly constructed in New Zealand in 2007. The screen is 30.6 meters (100 feet) wide. Images from a 35-mm wide film are projected to fill the entire width of this screen. Suppose that the screen in the theater is located a distance of 42.9 m from the projector. Determine the …
… magnification of the image. Enter a - value if appropriate.
… focal length (in cm) of the lens system.
An upright image is magnified, appearing to be 5.0 times the size of the object’s when the object is placed 20.7 cm from the lens. Determine the focal length of the lens.
An object is placed 66.1 cm to the left of a diverging lens. A virtual image is formed 16.5 cm to the left of the lens. Determine the focal length of the lens. Enter a – answer if appropriate.
During an in-class exploration lab, students are looking through both converging and diverging lenses at various objects and observing the characteristics of the images. Moses becomes particularly intrigued by the diverging lens. He places it a distance of 7.69 cm from the lettering of his textbook and estimates that the image of the letters are one-fourth the size of the actual lettering.
Calculate the image distance which results when Moses holds the lens this close to the textbook.
Image Distance
Calculate the focal length of the lens.