A thin lens forms an image of an overhead electric lamp on a piece of paper. The distance to the lamp from the lens is 148 cm; the distance to the paper from the lens is 16.0 cm. What is the focal length of the lens?

I need to see each step and formula to solve this question.

Solution Summary

The position of the image of an object is calculated with the use of lens formula. The solution includes a ray diagram.

A thin double convexlens of focal length f = +15 centimeters is located at the origin of the x-axis, as shown in the attachment. An object of height 8 centimeters is placed 45 centimeters to the left of the lens.
a.) On the figure in attachment, draw a ray diagram to show the formation of the image by the lens. Clearly sho

1. A point source of light lies on the central axis of a bi-convex spherical lends who radii of curvature are both measured to be 19.4 cm. The lens is made up of glass with an index of refraction of 1.50 and the source is 3.17 meters to the left of it. What is the image distance (in meters)?
2. A grasshopper sitting 31.4 cm t

A convexlens is placed on a flat glass plate and illuminated from above with monochromatic red light. When viewed from above, concentric bands of red and dark are observed. What does one observe at the exact center of the lens where the lens and the glass plate are in direct contact?
a. a bright spot that is some color other

This problem deals with lenses, please explain using equations, and ray diagrams.
A real object is at the zero end of the meter stick. A large concave mirror at the 100-cm end of a meter stick forms an image of the object at the 70-cm position. A small convex mirror placed at the 20-cm position forms a final image at the 10-c

Define the following four terms associated with light microscopy: refraction, refractive index, resolution and numerical aperture. Does the resolution of a microscope depend on the wavelength of light used to observe the sample preparation? What wavelength of visible light would you want to use for the best resolution?

1. An overhead projector with a lens of 35.6-cm focal length is used to throw an image on a screen 1.80 m away. If you consider the lens to be a thinlens, how far is the slide from the lens when the image is in focus? What is the magnification in this setup? Work this problem by ray tracing?
2. Work Problem 1 using the thin-

Turn in your answers to the following problems below. As always, make sure to show all of your work.
1. The so-called "hydrogen alpha (Ha) line" is a specific wavelength of red light caused by excited atomic hydrogen. It is frequently used when studying the Sun. The wavelength of Ha is 656.3 nm, or 656.3*10-9 m. The spee

The index of refraction of carbon tetrachloride is 1.46. The speed of light in this material is:
A) less than 1.00 x 10^6 km/s
B) between 1.00 x 10^6 and 2.00 x 10^6 km/s
C) between 2.00 x 10^6 and 3.00 x 10^6 km/s
D) greater than 3.00 x 10^6 km/s