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? (Assumethat the light is incident normally on the grating.)first orderseparation6.30second orderseparationBy 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 thesecond-order maxima to find the angular separation of the two lines for m = 2. °third orderseparationBy 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

Given in the question, Wavelength of red line, λR = 656 nm Wavelength of red line, λV = 434 nm Lines…

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University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 59P: The limit to the eye’s acuity is actually related to diffraction by the pupil. (a) What is the angle...

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Question

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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