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For nucleus 164Er, a 𝐽𝜋=2+ state is at 90 keV. Assuming 164Er to be a rigid rotor, the energy of its 4+ state is ________ keV (up to one decimal place)0 Answer4 MeV 𝛾-rays emitted by the de-excitation of 19F are attributed, assuming spherical symmetry, to the transition of protons from 1d3/2 state to 1d5/2 state. If the contribution of spin-orbit term to the total energy is written as 𝐶〈𝑙 ⋅𝑠 〉, the magnitude of 𝐶 is ________ MeV (up to one decimal place).0 Answer4 MeV 𝛾-rays emitted by the de-excitation of 19F are attributed, assuming spherical symmetry, to the transition of protons from 1d3/2 state to 1d5/2 state. If the contribution of spin-orbit term to the total energy is written as 𝐶〈𝑙 ⋅𝑠 〉, the magnitude of 𝐶 is ________ MeV (up to one decimal place).3 AnswerA microcanonical ensemble consists of 12 atoms with each taking either energy 0 state, or energy 𝜖 state. Both states are non-degenerate. If the total energy of this ensemble is 4𝜖, its entropy will be ________ 𝑘𝐵 (up to one decimal place), where 𝑘𝐵 is the Boltzmann constant.1 AnswerT he energy of a hydrogen molecule in its ground state equilibrium configuration is –31.7 eV. Its dissociation energy is _________ eV. (Up to one decimal place)0 AnswerA two-state quantum system has energy eigenvalues ±𝜖 corresponding to the normalized states |𝜓±⟩. At time 𝑡=0, the system is in quantum state 1√2[|𝜓+⟩+ |𝜓−⟩]. The probability that the system will be in the same state at 𝑡=ℎ/(6𝜖) is ________ (up to two decimal places).0 AnswerAn axial compressor rotor with 50 % degree of reaction, operates with an axial velocity of 200 m/s. The absolute flow angle at the inlet of the rotor is 22o with reference to the axial direction. If the axial velocity is assumed to remain constant through the rotor, the magnitude of the relative velocity (in m/s) at the rotor exit is __________ (accurate to one decimal place). (GATE-Aerospace-Engineering-2018)1 AnswerHow do you understand by the term 'Binding Energy'?1 AnswerConsider a two dimensional harmonic oscillator with angular frequency ωx = 2ωy = 6.5 × 1014 rad s –1 . The wavelength of x polarized light required for the excitation of a particle from its ground state to the next allowed excited state is ________× 10−6 m. (Round off to one decimal place) (Speed of light c = 3.0 × 108 m s–1 )0 AnswerIn a given year in India, official poverty lines are higher in some States than in others because0 AnswerIn a given year in India, official poverty lines are higher in some States than in others because0 Answer In a given year in India, official poverty lines are higher some States than in others because 0 AnswerA rigid container is completely filled with a liquid having a constant isothermal compressibility of 4 1 1.09 10 bar and a constant coefficient of volume expansion of 3 1 1.12 10 K . The liquid is initially at 300 K and 1 bar. Heat is supplied to the liquid to raise its temperature to 350 K. Assuming that no phase change occurs, the final pressure (in bar) of the liquid (up to 1 decimal place) is ________.0 AnswerAir at 150 kPa and 323 K is filled in a rigid vessel of 0.05 m3 capacity. For air, assumed as an ideal gas, specific heat at constant volume is 0.7163 kJ/kg.K and the specific gas constant is 0.287 kJ/kg.K. Neglect kinetic and potential energy changes. If 30 kJ of heat is added, the final temperature (in K) of air (up to 1 decimal place) is __________.0 AnswerIn a closed piston-cylinder system, methane was observed to obey the following equation of state P V nb nRT ( ) where b = 0.029 m3 /mol. The temperature and volume are 500 oC and 5 m3 respectively for 100 moles of methane. At this state of the system, the isobaric rate of change of temperature with volume (in oC/m3 ) is __________ (rounded off to second decimal place).0 Answer(Gate 2018 Mechanical engineering)An ideal gas undergoes a process from state 1 ( T1 = 300 K, 1 p = 100 kPa) to state 2 ( T2 = 600 K, 2 p = 500 kPa). The specific heats of the ideal gas are : cp = 1 kJ/kg-K and cv = 0.7 kJ/kg-K. The change in specific entropy of the ideal gas from state 1 to state 2 (in kJ/kg-K) is ___________0 AnswerFor a diatomic vibrating rotor, in vibrational level = 3 and rotational level J, the sum of the rotational and vibrational energies is 11493.6 cm–1. Its equilibrium oscillation frequency is 2998.3 cm–1, anharmonicity constant is 0.0124 and rotational constant under rigid rotor approximation is 9.716 cm–1. The value of J is ___________. (Up to nearest integer)0 Answerhe rate constant of a first order reaction, XY, is –3 1.6 10 s–1 at 300 K. Given that the activation energy of the reaction is 28 kJ mol–1 and assuming Arrhenius behavior for the temperature dependence, the total time required to obtain 90% of Y at 350 K is_____________ s. (Up to one decimal place. Use R = 8.31 J K–1 mol–1 )0 AnswerAn 𝛼 particle is emitted by a Th90230 nucleus. Assuming the potential to be purely Coulombic beyond the point of separation, the height of the Coulomb barrier is ________ MeV (up to two decimal places). (𝑒24𝜋𝜖0 =1.44 MeV-fm, 𝑟0=1.30 fm)0 AnswerThe ground state electronic configuration of the rare-earth ion (Nd3+) is [Pd] 4f 35s 25p 6 . Assuming LS coupling, the Landé g-factor of this ion is 8/11 . The effective magnetic moment in units of Bohr magneton μB (rounded off to two decimal places) is __________________0 Answer