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Wavelength of a Laser - eol

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Subject Focus:<br />

High school physics or<br />

optics/photonics course<br />

Materials & Preparation<br />

Time:<br />

One to two class periods<br />

Carbon, Climate, and <strong>Laser</strong> Technology<br />

Teacher’s Guide<br />

Teacher and Student<br />

Materials:<br />

• He-Ne <strong>Laser</strong><br />

• 2 diffraction grating slides<br />

with known grating widths<br />

(each w/ different widths)<br />

• a screen to project upon<br />

(a white box works well)<br />

• measurement tools<br />

• student data recording<br />

form (optional as recording<br />

in lab notebook may be<br />

preferred)<br />

<strong>Wavelength</strong> <strong>of</strong> <strong>Laser</strong> Light<br />

National Science Content Standards Addressed:<br />

National Science Content Standards A, E, and G<br />

• www.atd.ucar.edu/apol/biocomplexity<br />

• www.eo.ucar.edu<br />

Learning Ojbectives:<br />

Students will determine the wavelength <strong>of</strong> a helium neon laser. Students will collect<br />

six different sets <strong>of</strong> measurements in this experiment and use these measurements to<br />

solve for the wavelength <strong>of</strong> the laser.<br />

Preparations:<br />

Put out one or sets <strong>of</strong> a laser, screen and two diffraction gratings for student use.<br />

The intent is to have the laser beam pass through a diffraction grating resuling in<br />

an interference pattern on the screen. Either the screen or the grating will need<br />

to be movable since each grating will be used three times at different distances<br />

from the screen. Decide ahead <strong>of</strong> time which object will be moveable. Each<br />

<strong>of</strong> the three distances should yield a clearly observable interference pattern.<br />

The photos on the following page show visual representations <strong>of</strong> the materials,<br />

setup, and interference patterns generated during the experiment. A graphic <strong>of</strong><br />

the electromagnetic spectrum with wavelengths specified is also shown.<br />

Procedure:<br />

Have students record the diffraction grating lines (mm) and convert them into<br />

centimeters to determine the slit width (d). Students will also record the distance<br />

from grating to screen (L) and distance from a maximum bright spot to an<br />

adjacent maximum bright spot (x). Two different gratings are to be used at three<br />

different distances from the screen and measurements recorded. Students will<br />

then use these measurements to determine the wavelength <strong>of</strong> the laser.<br />

Connection to APOL Biocomplexity Project:<br />

<strong>Laser</strong>s are <strong>of</strong> many wavelengths and each type <strong>of</strong> laser has a particular application<br />

based on that wavelength. The lasers used in the APOL project are designed<br />

to give a final output <strong>of</strong> 4.3 x10-6 meters. This is in the mid-infrared range and<br />

is invisible to the eye. In this activity, a laser that has an output visible to the<br />

eye will be necessary. The He-Ne laser is the most common type <strong>of</strong> laser in the<br />

school environment.<br />

Solution:<br />

Most schools will use a standard red helium neon laser. The wavelength for this<br />

laser is 633 nanometers. Some schools may have access to helium neon lasers <strong>of</strong><br />

different wavelengths. The results for those lasers should be as follows: Green:<br />

543.5 nm, Orange: 612 nm, and yellow: 594 nm.


grating<br />

Grating in position in from <strong>of</strong> laser<br />

<strong>Laser</strong>, grating, and screen<br />

<strong>Laser</strong>, grat ing, an d screen<br />

Gra ting in po sition in from <strong>of</strong> laser<br />

<strong>Laser</strong>, 300 lines/mm grating, and screen<br />

Electromagnetic Spectrum<br />

<strong>Laser</strong> and two gratings<br />

<strong>Laser</strong>, 300 lines/mm grating, and screen<br />

Pattern generated by laser and 300 lines/mm grating<br />

Photos by Randal Albrandt<br />

2 <strong>of</strong> 2


Diffraction Grating<br />

(lines/mm)<br />

Slit Width (d)<br />

(cm/line)<br />

Two different gratings must be used three times each.<br />

Distance from<br />

grating to screen (L)<br />

(cm)<br />

Distance from<br />

maximum to<br />

maximum (x)<br />

Note that x can be measured from any bright spot to the adjacent bright spot. Also, the diffraction gratings are<br />

in lines per mm. This must be converted to cm per line. This value corresponds to d in Diagram A.<br />

To determine the wavelength <strong>of</strong> the laser:<br />

( x )( d)<br />

λ =<br />

Use the values <strong>of</strong> x, d, and L from your data table and the double slit formula L to determine<br />

the wavelength <strong>of</strong> the laser. Average your six computed values and determine a final average for the wavelength<br />

<strong>of</strong> the laser.<br />

Show all<br />

substitutions<br />

<strong>of</strong><br />

data into<br />

formula<br />

Final Value<br />

(cm)<br />

Final value<br />

(microns)<br />

( x )( d)<br />

λ =<br />

L<br />

( x )( d)<br />

λ =<br />

L<br />

<strong>Wavelength</strong> <strong>of</strong> <strong>Laser</strong> Light<br />

Student Data Form<br />

( x )( d)<br />

λ =<br />

L<br />

( x )( d)<br />

λ =<br />

L<br />

( x )( d)<br />

λ =<br />

L<br />

( x )( d)<br />

λ =<br />

L<br />

Average<br />

<strong>Wavelength</strong><br />

Ask your teacher to provide you with the actual wavelength <strong>of</strong> the laser used in your experiment. Compare this<br />

value with your experimental value. Discuss any aspects <strong>of</strong> the experiment that would explain any disagreement<br />

with the actual value.<br />

1 <strong>of</strong> 2


Diagram A<br />

2 <strong>of</strong> 2

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