Consider a convex lens with the first surface having a radius of curvature of 31.123mm, a lens thickness of 5.8mm, and the second surface of the lens is flat. The lens is made from a glass whose diameter is 30mm.

Assume that an object is held 300mm to the left of the lens that glows at two wavelengths 486.1 nm blue and 656.3nm red. The refractive index of the lens at these two wavelengths is 1.522376 for the blue and 1.514322 for the red. Because the refractive index is not the same for both wavelengths, there will be two images. Find the image distances from the rear surface of the lens for each of these two wavelengths, as well as the focal lengths.

Assume the object is a star and that you focus on the red image. What is the diameter of the blue image as predicted by paraxial ray tracing.

where : R1 = Radius of curvature of lens surface 1
R2 = Radius of curvature of lens surface 2
n = refractive index of the material of the lens
f = focal length of the lens

Sign convention : In applying the above formula following sign convention is followed :

i) All distances are measured from the optical centre of the lens.

ii) Distances measured in the direction of the incident ray are positive and those in ...

Solution Summary

The expert examines paraxial ray tracing problems. The refractive index of the lens with two wavelengths are determined. Step by step solution provided.

There are several ways to render an object and the choice depends on the use the work will be put to:
For Raytracing explain under what circumstances you would and would not use it. For each occasion explain what are the alternatives and their limitations

An object with a height of 42 cm is placed 2.0 m in front of a concave mirror with a focal length of 0.50 m.
(a) Determine the approximate location and size of the image using a ray diagram.
(b) Is the image upright or inverted?

1. A piece of lucite (transparent plastic) has an index of refraction of 1.45. Find the critical angle (for total internal reflection) if the plastic is in air. Now find the critical angle if the plastic is immersed in water. In both cases, we are considering a ray of light inside the lucite, hitting the interface between lucite

In figure 1.40 (see attachment), calculate the X-ray intensity, as a function of the incident intensity I_o, that reaches the film for each of the three X-ray beams. The dark-shaded area represents bone and the light-shaded area represents tissue. The linear attenuation coefficients at the effective X-ray energy of 68 KeV are

A parallel beam of light is incident on the surface of a transparent hemisphere of index 2.0 at an angel of 45 degrees to the axis. Show whether or not the central ray in the beam is totally reflected at the plane surface and find the position of the image formed by refraction at the first surface and the plane surface. Indicate

A cell phone of length 10.0cm sits 50.0cm in front of a lens of focal length 30.0cm.
a. Without equations, use a diagram to determine whether the image of the cell phone is real or virtual, upright or inverted, and magnified or reduced. Estimate the magnification from your diagram.
b. Now calculate the magnification and check

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 thin lens, 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 raytracing?
2. Work Problem 1 using the thin-

A)Describe the two physical processes that give rise to the production of X radaition when electrons bombard the target of a diagnostic x-ray tube operation at 1000kvp. Explain the shape of the energy spectrum of photons from the target, detailing how this is modified by changes in kVp and target material.
(b)Describe how th