Consider a proton (m = 1.6726219 x 10-27 kg) confined in a box of length 10.000 pm. What is the energy difference between the n = 1 and n = 2 states of the proton-in-a-box? Report your answer in units of 10-18 J (that is, if the energy is 5.00 × 10-18 J, you would report it as "5.00").
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- 16. 23 567 Electron in 6th excited state in Li** (at rest) jumps. to 2nd excited state. h, R, m are Planck's constant, Rydberg constant, mass of Li (ion). Find the speed acquired by Litt (ion). ++ ++ 3hR 3hR (1) (2) 4m 8m 40 hR 36 hR (3) j (4) 49 m 98 mChapter 39, Problem 044 A hydrogen atom in a state having a binding energy (the energy required to remove an electron) of -1.51 eV makes a transition to a state with an excitation energy (the difference between the energy of the state and that of the ground state) of 10.200 eV. (a) What is the energy of the photon emitted as a result of the transition? What are the (b) higher quantum number and (c) lower quantum number of the transition producing this emission? Use -13.60 eV as the binding energy of an electron in the ground state. (a) Number Units (b) Number Units (c) Number UnitsIf density of mercury is 13600 kg/ m = 9.8 m/s?. Find the energy of translation 3 and g %3D per cubic metre of oxygen at N.T.P.
- Suppose you recently discovered a hydrogen like element that has only one electron orbiting around a nucleus containing a proton and a neutron. You found the ground state energy of the electron to be -16 eV. What will be the energy of this electron when it is on the excited state shown in the sketch? Note that all other possible intermediate states are shown by dashed lines. Electron is here Ground state 1.0 eV 16 eV - 1.0 eV -4.0 eV 4.0 eVHydrogen gas can be placed inside a strong magnetic field B=12T. The energy of 1s electron in hydrogen atom is 13.6 eV ( 1eV= 1.6*10 J ). a) What is a wavelength of radiation corresponding to a transition between 2p and 1s levels when magnetic field is zero? b) What is a magnetic moment of the atom with its electron initially in s state and in p state? c) What is the wavelength change for the transition from p- to s- if magnetic field is turned on?A hydrogen atom in an n=2 state absorbs a photon.What wavelength photons might be emitted by the atom following absorption?For the answer: You should find 10 total possible wavelengths, with the shortest being ~100 nm and the largest being ~1900nm. You should enumerate all of them.
- The difference in energy between allowed oscillator states in HBr molecules is 0.330 eV. What is the oscillation frequency of this molecule?A researcher observes hydrogen emitting photons of energy 1.89 eV. What are the quantum numbers of the two states involved in the transition that emits these photons?