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Experiment 8: lensmaker’s equation, Purpose, Theory – PASCO OS-8536 OPTICS TABLE User Manual

Page 16: Procedure, And r

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12

Optics Table

012-06557A

you about the relationship between the focal lengths of these two lenses?

Slide the convex and concave lenses apart to observe the effect of a combination of two lenses. Then reverse the
order of the lenses. Trace the patterns.

Place the convex lens in the path of the five light rays. Put a finger in front of the slit mask to block out the
center three rays and mark the focal point for the outer two rays. Next, adjust the slit mask on the fron t of the
Light Source so three light rays shine across the middle of the Ray Table and mark the focal point for the three
rays. Are the two focal points the same?

Experiment 8: Lensmaker’s Equation

EQUIPMENT NEEDED

– Light Source

– Optics Bench

– Ray Table and Base

– Concave lens

– metric ruler

– pencil

Purpose

To determine the focal length of a convex
lens by direct measurement and by using
the lensmaker’s equation.

Theory

The lensmaker’s equation is used to calcu-
late the focal length of a lens based on the
radii of curvature of its surfaces and the
index of refraction of the lens material.

1

f

= (n–1) 1

R

1

+ 1

R

2

where f is the focal length, n is the relative
index of refraction
of the lens material, and
R

1

and R

2

are the radii of curvature of the

lens surfaces.

➤ NOTE: In this notation, R is positive for a

convex surface (as viewed from outside the lens) and R is negative for a
concave surface.

Procedure

Mount the Light Source, Ray Table Base, and Ray Table on the Optics
Bench. Place the Concave Lens on the Ray Table. Shine five light rays
from the Light Source straight into the lens. Trace the outline of the lens
and trace the incident and transmitted rays. Indicate the incoming and
the outgoing rays with arrows in the appropriate directions.

Figure 8.1

R

1

Double

Concave

Lens

R

2

P

A

TTERN

SOURCE

COLOR

DISCONNECT

PO

WE

R

BEFORE CHAN

GING BULB

.

5 3 1

RA
Y

SLITS

Light Source

Five parallel

rays

Concave Lens

Figure 8.2