an unkenown element has 30 netrons and a quantum number Sequence of 3,2, -2, -1/ん ld enti pey! A = ここ
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- Chapter 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 Units(a) For the 1s wave function, calculate the probability for the electron to be found within the nucleus, considered to be a sphere of radius R. (b) Evaluate the probability for a nucleus of lead (R = 7.1 fm). (c) Suppose instead that a muon (m = 207m) were in its 1s state. What is the probability to find it inside the lead nucleus?5 For each of the following transitions, indicate if the transition is allowed. If not allowed briefly explain why. (a) 5f Fr→ 3d ³Dsz (b) 1s 2s 2p 2Ds2→ 1s² 2s²2p³ S32 (c) 1s² 2s 2p ³p,→ 1s² 2s²2p¹ ³P₂ It is believed that the inter-nucleon force is repulsive at short range and is mediated by p and a mesons. If their range is about 0.5 fm then estimate the mass energy in MeV of these particles, stating your method. Estimate the mass density for the central part of a nucleus of 174Hf. State any approximations or assumptions. {
- An electron is known to have an energy level of 5. What are the possible values for its angular momentum quantum numbers? Explain your answerThe uncertainty in a particular short-lived nuclear excited state is 1.8 eV. What is the smallest lifetime, in seconds, that this state can have?The magnetic dipole moment of a deuterium nucleus is about 0.0005 Bohr magneton. What does this imply about the pres- ence of an electron in the nucleus, as the proton-electron model requires?
- The spin quantum number is just ms=+, there is no further information given. Is this right?Which of the following observations is not related to the Pauli Exclusion Principle? O the electronic wave function is antisymmetric with respect to particle exchange O angular momentum is conserved in quantum mechanical systems O if two electrons are in the same orbital, they are spin-paired Ospatial orbitals can contain no more than two electrons