2) An electron in a hydrogen atom is in the initial state ni= 4. Calculate the wavelength of the photon emitted by this electron if it jumps to the final state. (A) nf= 3, (B)nf=2, or (c) nf=1.

(a) Calculate the number of photoelectrons per second ejected from a 1.00-mm2 area of sodium metal by 500-nm M radiation having an intensity of 1.30 kW/m2 (the intensity of sunlight above the Earth's atmosphere). (b) Given that the binding energy is 2.28 eV, what power is carried away by the electrons? (c) The electrons carry away less power than brought in by the photons. Where does the other power go? How can it be recovered?

When the absorption spectrum of hydrogen at room temperature is analyzed, absorption lines for the Lyman series are found, but none are found for the Balmer series. What does this tell us about the energy state of most hydrogen atoms at room temperature?

3:09 O O O 63° A X • N N O 5G „ll Quizzes a (absorption) Brackett series Paschen series Lyman series (emission) Balmer series Paschen series (emission) n= 2 n=3 n=4 .... Lyman series n-5 (a) (b) e These pictures refer to the energy levels of a hydrogen atom. You can find the error in both parts, (a) and (b). The arrows labeled "emission" in (a), and all the arrows in (b), indicate a transition in which an electron jumps from a higher- energy state to a lower-energy state. The different "series" of emission lines are characterized by the index n of the low- energy state in which the electron ends up. In particular, the Lyman series consists of all transitions that end up in the n=1 energy level, with an initial energy level that corresponds to the label n = 2, 3, 4, 5, etc. One of these values of n is not shown as an arrow in the Lyman emission series in figures (a) or (b). This is a significant error because that particular spectral line is very important in astronomy. Pick the value…

Q3. An electron in an atom which is freely radiating power behaves as a damped simple harmonic oscillator. If the radiated power is given by P = 127 E, c³ at a wavelength of 2=6×10m Find (a) the Q-value of the atom and (b) its radiation lifetime(the time for its energy to decay to e of its original value q = 1.6×101°C, m =9.1x10' kg, c = 3×10 m/s, ɛ, = 8.85×1012

b) The Bohr model of the atom postulated electrons orbiting around the nucleus in stable circular orbits. De Broglie explained what orbits could exist by postulating that electrons (and anything else) with momentum p have an associated wavelength X, given by \ = h/p where h is Planck's constant. Then the allowed orbits are those with an integer number n of wavelengths in the circumference of the orbit. For electrons as for planets, the total energy of an orbit is E = -mv2. i) Write down and explain the three key equations that enable the derivation of the Ryd- mee¹ berg constant (1Ry = 2 with n = 1 and Z = 1), defining all the symbols. Show by 8€²n²h² putting the values in that this gives -13.6 eV, -3.40 eV and -1.51 eV for the energies to three significant figures of the first three hydrogen energy levels. ii) Consider the helium ion, He¹+, with one electron orbiting the helium nucleus. Ex- plain what changes from the Bohr model for hydrogen, and find the energies to three significant…

(a) If an electron makes a transition from the n = 7 Bohr orbit to the n = 3 orbit, determine the wavelength of the photon created in the process. nm(b) Assuming that the atom was initially at rest, determine the recoil speed of the hydrogen atom when this photon is emitted. m/s

It wasn’t 1.003 x 10^6 or 1003000 please help!

For a hydrogen-like atom (the atom contains only one electron, like singly ionized He, doubly ionized Lithium, etc.), the energy levels are given by En = -Z2(13.6)/n2 eV where Z is the atomic number. If an electron in a doubly ionized Lithium atom jumps from the 2nd excited state to the ground state, what would be the wavelength of the emitted photon? A) 3.21 nm                      B) 3.21 pm                      C) 6.42 pm                      D) none of these.

9. Considering the photoelectric effect; a) If a material has a cutoff wavelength of 780 nm what is the work function of the material? b) What is the maximum speed of liberated electrons when light with a wavelength of 410 nm is used to illuminate the material? If a liberated electron has 3.2349 eV of kinetic energy and it was a photon emitted from a hydrogen atom transition that liberated it, what energy level transition occurred? State both the initial and final energy level.