Thin Lenses Lab: Determining Object and Image Distances for a Convex Lens, Study notes of Optics

A lab activity aimed at investigating the relationship between object distance and image distance for a thin convex lens. Students will use a light source, optics bench, viewing screen, and lenses to measure these distances and sizes. The document also includes background information on real and virtual image formation, the Thin Lens Equation, and the Magnification Equation.

Typology: Study notes

2021/2022

Uploaded on 08/01/2022

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Thin Lenses
Equipment List
Qty Items Part Numbers
1 Light Source OS-8470
1 Optics Bench OS-8518
1 Viewing Screen OS-8460
1 100 mm Convex Lens OS-8519
1 50 mm Convex Lens OS-8519
1 Vernier Caliper
Introduction
The purpose of this activity is to determine the relationship between object distance and image
distance for a thin convex lens. A thin lens is one whose thickness is
negligible in comparison to the image and object distance. A convex lens is
thicker in the center than at the edges and can also be called a positive lens or
converging lens. A concave lens is thinner at the center than at the edges and
can also be called a negative lens or a diverging lens. Use a light source,
optics bench, lens, and viewing screen to measure object distance, image
distance and size. The technological pieces of equipment pictured here make
use of lenses.
Background
When a light source, like a light bulb shine, it radiates light in all directions.
A lens will alter the direction of those rays of light which strike it, resulting
in either a real or virtual image to be formed. If the rays of light go from the
source through the lens to form a single point in space, it will form a real
image. However, a virtual image is formed if the projections from the rays of
light form on the same side as the source. These can be seen in Figure 1 and
Figure 2.
Fig. 1: Real Image Formation
p
q
h
h
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f
O
I
F
p
q
h
h
f
O
I
F
p
q
h h
f
O I
F
Fig. 2: Virtual Image Formation
rev 08/2019
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Thin Lenses

Equipment List

Qty Items Part Numbers 1 Light Source OS- 1 Optics Bench OS- 1 Viewing Screen OS- 1 100 mm Convex Lens OS- 1 50 mm Convex Lens OS- 1 Vernier Caliper

Introduction

The purpose of this activity is to determine the relationship between object distance and image distance for a thin convex lens. A thin lens is one whose thickness is negligible in comparison to the image and object distance. A convex lens is thicker in the center than at the edges and can also be called a positive lens or converging lens. A concave lens is thinner at the center than at the edges and can also be called a negative lens or a diverging lens. Use a light source, optics bench, lens, and viewing screen to measure object distance, image distance and size. The technological pieces of equipment pictured here make use of lenses.

Background

When a light source, like a light bulb shine, it radiates light in all directions. A lens will alter the direction of those rays of light which strike it, resulting in either a real or virtual image to be formed. If the rays of light go from the source through the lens to form a single point in space, it will form a real image. However, a virtual image is formed if the projections from the rays of light form on the same side as the source. These can be seen in Figure 1 and Figure 2.

Fig. 1: Real Image Formation p q

h

hโ€™ f

O

F I

p

q

h

h

f

I O

F

p

q

h h

f

O F I

Fig. 2: Virtual Image Formation

rev 08 /201 9

Fig. 3: Ray Naming

These distances and focal lengths are related by The Thin Lens Equation :

๐Ÿ ๐’‘

Object distances, image distances and focal lengths can be positive or negative. There is also a Magnification Equation to help predict how large or small the image will be compared to the size of the original object. This equation is:

For multiple lenses, the magnification multiply; that is to say,

๐’

๐’Š

This is the ratio of the image size hโ€™ to the object size, h. Note that if the image is inverted relative to the object, then hโ€™ is negative, making M negative.

Setup

  1. Mount Object Source at the 0.0 cm mark of the Optics Bench. Connect the power supply.
  2. Mount the Viewing Screen at the other end of the bench.
  3. Make sure the crossed-arrow โ€˜objectโ€™ is illuminated and pointing toward the viewing screen.
  4. Place the 100-mm Convex Lens on the Optics Bench at the 50.0 cm mark.

Procedure for part 1: One Lens System

  1. With the lens positioned at the 50.0 cm position move the viewing screen so that a clear and focused image of the crossed arrow appears on the viewing screen.
  2. Record, in Table 1, the distance from the lens to the viewing screen as the image distance for given object distance.
  3. Using the Vernier Caliper, measure the height of the image on the viewing screen, and then record that as the image height for the given object distance.

Analysis of Thin Lenses Lab

Name______________________________________________ Group#________

Course/Section_______________________________________

Instructor____________________________________________

Table 1: One Lens (20 points) Object Distance p(cm)

Image Distance q(cm)

Image Height h โ€™^ (cm)

Object Distance p(cm)

Image Distance q(cm)

Image Height h โ€™^ (cm)

50.0 25. 47.5 20. 45.0 15. 40.0 12. 35.0 12. 30.0 11.

  1. Using Excel, or some other graphing program, make a graph of Image Distance vs. Object Distance (q vs. p), then answer the following questions about this graph. ( points)
  2. What value does the image distance approach as the object distance becomes larger? (5 points)
  3. What value does the object distance approach as the image distance becomes larger? (5 points)
  4. How does the value of the answers to questions 1 and 2 relate to the lens used in part 1? (5 points)
  5. What is the relationship between image distance and object distance? (directly related or inversely related?) Give evidence supporting your answer. (5 points)
  1. What is the relationship between object distance and image height? (Directly related or inversely related?) Give evidence supporting your answer. (5 points)
  2. Where would you place the object to obtain an image as far away from the lens as possible? (5 points)
  3. Where would you place the object to obtain an image located at the focal length of the lens (100 mm)? (5 points)