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- 7. Calculate the energy (J) of a pure elemental sample weighing 0.5 g. 8. Determine the mass (g) of a sample with an energy of 1.78 eV.5. The difference in energy between allowed oscillator states in HBr molecules is 0.310 eV. What is the oscillation frequency of this molecule? This is not and will not be graded2² $2(x)] where $1(x) and ø2(x) are The wave function is given by y (x, t) = C[3e¬iwitp1(x) + 4e-iwzt, energy eigenfunctions that are orthonormal, and w1 = 3.0 × 1015 Hz and w2 = 7.5 × 1015 Hz. What are the two energy levels in units of eV? Calculate the average energy of the system in eV.
- 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. {5. Calculate the mean, RMS, and most probable speeds for: 1) hydrogen molecule at temperatures of 100 K, 1000 K and 10,000 K and 2) xenon atom at temperatures of l100 K, 1000 K and 10,000 K. Assume the velocity distribution is a Maxwell-Boltzmann distribution for both.5. A microscopic oscillator has its first and second excited states 0.05 eV and 0.10 eV above the ground-state energy. Calculate the Boltzmann factor for the ground state, first excited state, and second excited state, at room temperature.
- F= k 1, n Y(m) electan 8.98 x10? %3D 1.6 X1U c) ro [S-21x16-" X(m) proten' = + 1.6 x15c to the magnitude g He forcel Calculete7 The fundamental vibrational wavenumber ( ṽ) for 1H 127I molecule is 23096 cm-1 A. Determine the force constant (k) of 1H 127I B. Calculate the value of for 2H 127I. Show all calculations and the units. Explain the reasoning