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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).0 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.0 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 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)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 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 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 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 Answerthe axial load carrying capacity of the column (in kN, up to one decimal place), is ______ (GATE-CIVIL-Engg-2018)0 AnswerSuperheated steam at 2 bar and 300 °C, with an enthalpy of 3072.1 kJ/kg, enters a horizontal adiabatic nozzle with negligible velocity and leaves at 0.2 bar as saturated vapour with an enthalpy of 2609.9 kJ/kg. Assuming steady flow and neglecting the potential energy changes, the exit velocity (in m/s) of the steam (up to 1 decimal place) is __________.0 AnswerFour nuclei of an element undergo fusion to form a heavier nucleus, with release of energy. Which of the two the parent or the daughter nucleus would have higher binding energy per nucleon ? (Physics CBSE 2018)0 AnswerState and explain work-energy theorem. -Physics CBSE class 11 20161 AnswerThe ground state energy of a particle of mass 𝑚 in an infinite potential well is 𝐸0. It changes to 𝐸0(1+𝛼×10−3), when there is a small potential bump of height 𝑉0= 𝜋2ℏ250𝑚𝐿2 and width 𝑎=𝐿/100, as shown in the figure. The value of 𝛼 is ________ (up to two decimal places).0 AnswerDue to heavy floods in a state, thousands were rendered homeless. 50 schools collectively offered to the state government to provide place and the canvas for 1500 tents to be fixed by the government and decided to share the whole expenditure equally.1 AnswerA thin-walled cylindrical can with rigid end caps has a mean radius 100R mm and a wall thickness of 5 t mm. The can is pressurized and an additional tensile stress of 50 MPa is imposed along the axial direction as shown in the figure. Assume that the state of stress in the wall is uniform along its length. If the magnitudes of axial and circumferential components of stress in the can are equal, the pressure (in MPa) inside the can is ___________ (correct to two decimal places).0 AnswerA vertical rotor planter has 8 cells on each rotor. The rolling radius of the ground wheel is 200 mm. The ratio of rpm of the ground wheel to that of the rotor shaft is 2:3. If the planting is done at a forward speed of 3.5 km h-1, the plant spacing 1 Answer