Optics and Image Determination
Not what you're looking for?
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 to the left of a convex lends sees its image on a screen 68.6 cm to the right of the lens. It then jumps 16.2 cm toward the lens. Where will its image be now?
3. A point source is moved along the central axis of a thin spherical glass (n=1.5) lens, and it is found that when the source is at 10.1 cm from the lens the emerging light forms a perfectly cylindrical beam travelling along the axis. Where will the image be when the source is moved out to 150 cm from the lens?
Purchase this Solution
Solution Summary
This job emphasizes optics problems. The image determinations are provided for different distances.
Solution Preview
I've sent the answer in 3 different formats: plain text below, as well as an attached word document, and an acrobat file (pdf). Hopefully at least one of these will work for you!
Answer:
1. In order to find the image distance, first we need to know the focal length of the lens. That is given by the lensmaker's equation (for thin lenses):
1/f = (n-1)*(1/R1 - 1/R2)
Where R1 and R2 are the radii of curvature of the two surfaces of the lens. Note that in a biconvex lens such as this one, one radius is taken to be negative - this is because one surface is concave towards the incident light.
So, in our case, we have R1 = |R2| = 19.4 cm, and n = 1.5.
This gives us a focal length of f = 19.4 cm.
Now, we resort to the familiar lens equation to ...
Purchase this Solution
Free BrainMass Quizzes
Basic Physics
This quiz will test your knowledge about basic Physics.
The Moon
Test your knowledge of moon phases and movement.
Introduction to Nanotechnology/Nanomaterials
This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.
Variables in Science Experiments
How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.
Intro to the Physics Waves
Some short-answer questions involving the basic vocabulary of string, sound, and water waves.