ATOMIC SPECTRA 71 EXERCISES 1. Could the three lines in the hydrogen spectrum th

Question

ATOMIC SPECTRA 71 EXERCISES 1. Could the three lines in the hydrogen spectrum that you periment be explained by the electron transitions, 3-2,4-2, and 5-2? Give observed in this ex specific reasons to support your answer. 2. What is the color of the following spectral lines in which the wavelengths are given in Angstrom (A) units? 4500 ) 5700 3100 3. Besides H, list other hydrogen like species in which the Rydberg constant in e 3 would still be 1.10 x 10? 4. Is a He+ 53 transition in the visible range? Calculate and explain. 5. Are there any electronic transitions of He involving energy levels 1, 2 and 3 which are in the visible range? That is, will He emit any visible photons when the electrons fall from any level to levels 1, 2, and 3? If not, show why. If so, cal- culate the wavelengths in A for the visible photon(s) and the approximate color of each photon. 6. Suppose that in another universe the laws have the same form but the con- stants are different. Calculate the Rydberg constant (em-1) in that universe if a Li2+ ion a transition from n 6 to n 5 emits a photon having a wavelength of 7000 A. Assume that the speed of light is the same as in this uni- verse. 7. Suppose that a student had performed the experiment and calculations per- fectly except for the following. Unknown to the student, the diffraction grating was mislabeled so that the true rating (in lines per cm) were less than the la- bel indicated. Would the student's calculated value for the energy of the yellow line of mercury be equal to, higher than, or lower than the true value? grooves per cm would that be? periment was 100.0 cm and the a value was 33.9 cm; then calculate the wave 8. If the diffraction grating were rated at 300 grooves per mm, then how many 9. Ifthe diffraction grating from problem 8 were used and the b value from the ex- length observed in A units. 10. If the scale reading of a wavelength was found to be 3.00 in the spectroscope (using the Helium Spectrum calibration graph found in the calculations sec- tion), then: a) calculate the wavelength in A and em, b) calculate the frequency c) calculate the energy in ergs, and d) determine the color of the wavelength.

Explanation / Answer

2)

4500 A spectral line corresponds to violet- blue color as for Violet ( 3800 - 3500 A)

5700A spectral line corresponds to green - yellow color as for green ( 5000 - 5700 A)

3100 A spectral line corresponds to ultraviolet region

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