Explain the physics behind the fourth assumption in Bohr's atomic model, i.e., m¸vr=nh/2, where me and v are the mass and velocity of electron around the nucleus, respectively, r is the radius of an allowed orbit, n is an integer and h is the Plank constant.
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- Draw to careful scale an energy-level diagram for hydrogen for levels with n=1, 2, 3, 4, inf. Show the following on the diagram: (a) the limit of the Lyman series, (b) theHb line, (c) the transition between the state whose binding energy (= energy needed to remove the electron from the atom) is 1.51 eV and the state whose excitation energy is 10.2 eV, and (d) the longest wavelength line of the Paschen series.Consider a Bohr model of doubly ionized lithium. (a) Write an expression similar to E, = -13.6/n² eV for the energy levels of the sole remaining electron. (Use the following as necessary: n.) 122.4 E, v ev n° (b) Find the energy corresponding to n = 5. (Enter your answer to at least one decimal place.) -4.89 ev (c) Find the energy corresponding to n = 3. (Enter your answer to at least one decimal place.) -13.6 ev (d) Calculate the energy of the photon emitted when the electron transitions from the fifth energy level to the third energy level. Express the answer both in electron volts and in joules. 8.71 V ev 1.395e-18 (e) Find the frequency and wavelength of the emitted photon. 6.2e15 Your response differs from the correct answer by more than 100%. Hz 48 Your response differs from the correct answer by more than 10%. Double check your calculations. nm (f) In what part of the spectrum is the emitted light? O visible light region O infrared region O gamma ray region O x-ray region…A hydrogen atom is in its second excited state (n = 3). Using the Bohr theory of the atom, calculate the following. (a) the radius of the orbit nm(b) the linear momentum of the electron kg · m/s(c) the angular momentum of the electron J · s(d) the kinetic energy eV(e) the potential energy eV(f) the total energy eV
- Calculate the radius of second Bohr orbit in hydrogen atom from the given data. Mass of electron = 9.1 × 1031 kg %3D Charge on the electron = 1.6 × 101º C %3D Plank's constant = 6.63 × 10“ J.S. %3D Permitivity of free space = 8.85 x 10-12 C/Nm² %3DAn electron in the hydrogen atom is in the 4s state. (a) Find the orbital angular momentum of the electron (in units of h). (b) Find the energy of the electron (in eV). (c) Ignoring electron spin, find the total number of quantum states that have this same energy. (d) Make a table listing the uantum numbers n, I, and ms of each of the degenerate states. Indicate the spectroscopic label (e.g. 1s, 2s, etc) that would apply to each state.A) By what factor is the uncertainty of the electron's position(1.36×10-4 m) larger than the diameter of the hydrogen atom?(Assume the diameter of the hydrogen atom is 1.00×10-8 cm.) B) Use the Heisenberg uncertainty principle to calculate Δx for a ball (mass = 122 g, diameter = 8.50 cm) with Δv = 0.425 m/s. C) The uncertainty of the (above) ball's position is equal to what factor times the diameter of the ball?
- 2.1. A neutral atom has the following electronic configuration: 1s? 2s² 2p° 3s² 3p³ (a). How many electrons are in the M shell? (b). How many protons are in the atomic nucleus? (c). To which group of the periodic table does this element belong?In the picture are two diagrams of the first five orbits in the Bohr model labeled A - E. The dot in an orbit is the electron. The nucleus is not shown. Shown is a BEFORE and AFTER state of the atom. An energy level diagram for the Bohr hydrogen atom is shown. Which of these events has occurred in going from the BEFORE to the AFTER state? a. a photon of energy 0.97 eV has been emitted b. a photon of energy 1.51 eV has been absorbed c. a photon of energy 1.51 eV has been emitted d. an electron of energy 1.51 eV has been emitted e. a photon of energy 0.97 eV has been absorbedBefore the neutron was discovered, the only possible constitution of a nucleus with a given (A,Z) was A protons and (A-Z) electrons, leaving a net charge of +Ze. Early indications were that the nitrogen nucleus (A = 14,Z = 7) had a total angular mo- mentum that was an integral multiple of ħ. Is this consistent with a nucleus made of A protons and A-Z electrons? How does the inclusion of neutrons change things?
- what element has 3 protons, 2 electrons, and 3 neutrons and what is its symbol?What is the frequency of the photon emitted by a hydrogen atom when its electron drops from the n = 6 to n = 4 energy level? [? ] × 10¹²] Hz Coefficient (green) Exponent (yellow) EnterThe energy levels available to the electron in the hydrogen atom (Z = 1) are described by the following formula: ? = (−ℎ???) [Z2/n2] = −2.178 × 10-18J[ 1 2 /? 2 ] Describe the Bohr model of the hydrogen atom. Calculate the energy required to excite the hydrogen electron from level n = 1 to level n = 4.