14. What is the wavelength of the H-alpa line in the Balmer series? 598.6 nm 632.3 nm 642.6 nm 656.3 nm
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![13. A stationary observer on the ground
perpendicular to the direction of a moving
meterstick at constant velocity will observe
contraction in length of the meterstick.
increase in length of the meterstick.
no change in length of the meterstick.
variation in length of the meterstick.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0c6ae864-4be1-443c-847c-208d7f570b30%2F2b74ef7c-ac3b-4fe4-a6e3-f964dfdee0a5%2F2a89o8s_processed.jpeg&w=3840&q=75)
![14. What is the wavelength of the H-alpa line in
the Balmer series?
598.6 nm
632.3 nm
642.6 nm
656.3 nm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0c6ae864-4be1-443c-847c-208d7f570b30%2F2b74ef7c-ac3b-4fe4-a6e3-f964dfdee0a5%2Fqykul2y_processed.jpeg&w=3840&q=75)
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- 2. The following simplified mechanism captures some of the features of a 3-level laser: X+ hv -→ I I → A A → X+ hv’ r= kp f(hv)[X] r = k(IC1) [I] r=kf [A] r = kị f(hv') [A] pumping intersystem crossing spontaneous emission lasing hv' + A → X+ 2hv' f(hv) = flux of photons with energy = hv f(hv') = flux of photons with energy = hv' (usually a constant value) (a constant value different from f(hv)) Note that spontaneous emission (usually fluorescence) is detrimental to efficient lasing. a) Sketch a diagram of the system and identify all the states including metastable states also known as intermediates. b) Derive the steady-state concentrations for all metastable states. c) Show that population inversion ([A]ss/[X] constant is much larger than the sum of the rate constant of spontaneous emission plus the lasing rate constant. [A]ss = steady-state concentration of A. 1) is possible if the pumping rate >>2. Consider an electron in a hydrogen atom that is transitioning from the n = 2 to the n = 6 level.What is the wavelength (in nm) of the photon associated with this transition?O 36 Sulfur (S) has an atomic number of 16. What is its electron configuration? O 1s 2s 2p°3s-3p O 1s°25-2p°3s°3p O 1s252p 3s²3d* O 1s°252p°3s²3p²
- 6.An atomic hydrogen atom is immersed in a magnetic field of 12.44 T. For the 2p to 1s transition more than one line will appear due to the Zeeman effect. What is the smallest wavelength separation of these lines? (in units of picometers (pm)).The Balmer series in the hydrogen emission spectrum is formed by electron transitions from nj> 2 to nf= 2. What is the longest wavelength in the Balmer series? nm7. For the 3p and 3d states of hydrogen, show that (-) avg =1/1290. ao. n²
- 7. When an electron transitions from the third excited state to the ground state in a hydrogen atom, the energy emitted in one photon is: A. 12.7 eV B. 10.5 eV C. 3.6 eV D. 0 eV10. If the ground state of an electron in a hydrogen-like atom has an energy of -x eV, which of the following is the energy of one of the excited states? A. -x/9 eV B. -x/2 eV C. -x/3 eV D. - -x/8 eV3. A hydrogen discharge tube is operated at about 300 K in the laboratory. Compute the ratio of the probability for spontaneous emission to the probability for stimulated emission of the first Balmer line (the transition from the n = 3 state to the n = 2 state of the hydrogen atom).