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Experiment-8 Spectrometer-Wavelength of Sodium Vapour Lamp
Aim
To find the wavelength of sodium vapour lamp using a spectrometer. Apparatus Spectrometer, Plane Transmission Transmission grating, sodium vapour lamp and Reading lens. Formula 2 sin sin θ / 2
N=
mλ
Where N is the no of lines per grating λ is the wavelength wavelength of the light in meter meter is the angle of diffraction m is is the order of the spectrum
Least Count of Spectrometer
The value of each main scale divisions is half a degree (3!". The num#er of vernier scale divisions is 3. $% main scale divisions are divided into 3 vernier scale divisions (3&S' $% )S'" Therefore value of * &S' $%+3 )S'. east -ount (.-." *)S' *&S' *)S' $%+3 )S' *+3 )S' *+3 / 3! (.-." *! (* minute"
rocedure
reliminar! ad"ustments *. Turn the telescope towards the white wall or screen and loo0ing through e1epiece, ad2ust its position till the cross wires are clearl1 seen. $. Turn the telescope towards window focus the telescope to a long distant o#2ect. 3. Place the telescope parallel to collimator. 4. Place the collimator directed towards sodium vapor lam#. Switch on the lamp. 5. 6ocus collimator slit using collimator focusing ad2ustment. 7. 8d2ust the collimator slit width. 9. Place prism ta#le, note that the surface of the ta#le is 2ust #elow the level of telescope and collimator. :. Place spirit level on prism ta#le. 8d2ust the #ase leveling screw till the #u##le come at the center of spirit level. %. Place the Plane Transmission grating on the prism ta#le. The telescope is rotated for viewing the first order on the left. *. &ernier reading on the left and right faces are ta0en. Rotate the telescope to the right side in order to view the image on the right. Note down the reading on #oth the verniers. **. Remove the grating from the prism ta#le and ad2ust the telescope to view the direct image. Note down the reading from #oth verniers. *$. 'ifference #etween the direct reading and diffracted reading gives $ from which can #e calculated. *3. The value of is su#stituted in the formula and λ is o#tained.
#$servation
;rder of the image
&ernier < )SR
&S-
&ernier << -orrect Reading
)SR
&S-
-orrect Reading
%irect &a! &eading Vernier ' (S&
VS)
Vernier '' )orrect &eading
(S&
VS)
)orrect &eading
&esult
The wavelength of the sodium vapour lamp is found to #e ===========
