What is the image distance d; and magnification M when the object is only 0.1 cm past F (d. = 20.1 cm)?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Convex Lenses
When an object is placed at a distance d, from a lens of focal length f, and do is
greater than f, the rays hitting the lens will form a real image on the other side, at a
distance d; from the lens. The object distance do, image distance d;, and focal length f
are related by the "Thin Lens Equation":
1
1
1
f do
di
The height of the image h; is usually different than the height of the original
object ho. The factor by which the image is bigger than the object is called the
Magnification M of the image. The magnification depends on the distances d, and d;
if the image is farther from the lens than the object, it will be bigger than the object.
hị
di
M
ho
do
If the magnification is positive, the image is "right side up"; if it is negative, the image
is upside down or “inverted."
In this exercise, you will use the above equations to see what happens to the
image as you move an object closer and closer to the lens. We are looking for
patterns, to see how the variables change in relation to each other.
Directions: Here are some practice problems to make you familiar with these concepts.
Please review the following.
An object is placed at four different distances from a convex lens with
f = 20.0 cm:
a) do = 60.0 cm
b) do = 50.0 cm
c) d. = 40.0 cm
d) do = 30.0 cm
%3D
%3D
%3D
Transcribed Image Text:Convex Lenses When an object is placed at a distance d, from a lens of focal length f, and do is greater than f, the rays hitting the lens will form a real image on the other side, at a distance d; from the lens. The object distance do, image distance d;, and focal length f are related by the "Thin Lens Equation": 1 1 1 f do di The height of the image h; is usually different than the height of the original object ho. The factor by which the image is bigger than the object is called the Magnification M of the image. The magnification depends on the distances d, and d; if the image is farther from the lens than the object, it will be bigger than the object. hị di M ho do If the magnification is positive, the image is "right side up"; if it is negative, the image is upside down or “inverted." In this exercise, you will use the above equations to see what happens to the image as you move an object closer and closer to the lens. We are looking for patterns, to see how the variables change in relation to each other. Directions: Here are some practice problems to make you familiar with these concepts. Please review the following. An object is placed at four different distances from a convex lens with f = 20.0 cm: a) do = 60.0 cm b) do = 50.0 cm c) d. = 40.0 cm d) do = 30.0 cm %3D %3D %3D
1. For each distance, calculate the image distance d;.
2. For each distance, calculate the magnification M.
3. From your results, what happens to the image distance d; as the object gets closer
and closer to F?
4. From your results, what happens to the magnification M as the object gets closer
and closer to F?
5. Let's get even closer to F. What is the image distance d; and magnification M when
the object is only 1 cm past F (do = 21 cm)?
6. What is the image distance d; and magnification M when the object is only 0.1 cm
past F (do = 20.1 cm)?
%3D
7. What do you expect happens to d; and M when the object reaches F? Try the
math if you like.
Transcribed Image Text:1. For each distance, calculate the image distance d;. 2. For each distance, calculate the magnification M. 3. From your results, what happens to the image distance d; as the object gets closer and closer to F? 4. From your results, what happens to the magnification M as the object gets closer and closer to F? 5. Let's get even closer to F. What is the image distance d; and magnification M when the object is only 1 cm past F (do = 21 cm)? 6. What is the image distance d; and magnification M when the object is only 0.1 cm past F (do = 20.1 cm)? %3D 7. What do you expect happens to d; and M when the object reaches F? Try the math if you like.
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