the third-

University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:William Moebs, Jeff Sanny
Chapter3: Interference
Section: Chapter Questions
Problem 63AP: A hydrogen gas discharge lamp emits visible light at four wavelengths, =410 , 434, 486, and 656 nm....
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The hydrogen spectrum has a red line at 656 nm and a violet line at 434 nm. What angular separation between these two spectral lines is obtained with a diffraction grating that has 4942 lines/cm? (Assume
that the light is incident normally on the grating.)
first order
separation
6.30
second order
separation
By how many wavelengths does the path length from each slit differ to form the second-order principal maxima? Apply that condition or else use the equation for the location of the
second-order maxima to find the angular separation of the two lines for m = 2. °
third order
separation
By how many wavelengths does the path length from each slit differ to form the third-order principal maxima? Apply that condition or else use the equation for the location of the third-
order maxima to find the angular separation of the two lines for m = 3. o
Transcribed Image Text:The hydrogen spectrum has a red line at 656 nm and a violet line at 434 nm. What angular separation between these two spectral lines is obtained with a diffraction grating that has 4942 lines/cm? (Assume that the light is incident normally on the grating.) first order separation 6.30 second order separation By how many wavelengths does the path length from each slit differ to form the second-order principal maxima? Apply that condition or else use the equation for the location of the second-order maxima to find the angular separation of the two lines for m = 2. ° third order separation By how many wavelengths does the path length from each slit differ to form the third-order principal maxima? Apply that condition or else use the equation for the location of the third- order maxima to find the angular separation of the two lines for m = 3. o
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