are Common to all Substance. of ②State the three assumptions Kinetic theory of matter! ⑥Distinguish between the states ④Define Brownian motion the of matt 6. Describe the intermolecular forces between the molecules of the states o matter Answers Matter has mass Matter Occupies Space
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- here R jl and nl is a function of x or k ??? i m confusd advance physics questionn·Shown here is the visible part of the spectrum of some gas. There are 11 lines. There could be 6. more, they just aren't in the wavelength range of the spectrum. The wavelength increases toward the right. :.. de f gh k (a) Which line or lines correspond(s) to the two closest spaced energy levels? Explain. (b) Which line or lines correspond(s) to the two farthest spaced energy levels? Explain. (c) What is the minimum number of energy levels in an atom of the gas that could produce the lines in this spectrum? Explain.Q3. For a system at T = 300 K, what has to be the value of (ɛ - u) so that the distributions of Fermi- Dirac, Bose-Einstein, and Boltzmann agree to within 1%? Is this condition satisfied for gases in the atmosphere?
- IV. Given that: 3 mv? 2 v?e 2RT т f6) = 4r () (2TRT. and there is an identity showing that: 1 x2e-ax dx =. 4α να Prove the equation below using Maxwell distribution function: f(v)dv = 16 of rom no This ng of The number N of aroms in a particulation state is called the population of the state. This number depends on the the state and the tempreture. In thermal equilibrium the , energy Popular jon of atoms in a state of energy En is given by Boltzmann distribution N= Nge (En-Es)/Kot where I is the absolute tempreture and Ng is the population of the ground state, of Energy Ey. Find the equilibrium ratio of the populations, of the State E and E₂ Shown in the figure : Ez E. 7=632.8mmThe most probable thermal distribution for the states of a system of particles is defined by having the probability of the th state, P₁, proportional to... the number of particles, N Oits Boltzmann factor O volume O pressure O the number of moles, n O temperature ►
- →all empty stoter portially filled ---- energy f:lled Stater //// gap (a) (6) (c) s portialh T7 empty 197 (e) shoon above belog to; (d) The ener8y band digrams -n type semicondeter (5-c) - metal -p-type se - intrinnic S.c. i. Match them correctly i1. Frplain your reasoning for each, (2-3 words) be done to (b) to get diapram in (e) i.what canSolve the following problems Q.1 Derive an expression for plasma oscillation frequency for ions. Q.2 For a simple plasma oscillation with fixed ions and a space-time behavior expli(kx – wt)], calculate the phase ô for Ø1, E1, and v, if the phase of n, is zero. Illustrate the relative phases by drawing sine waves representing n1, Ø1, E1 and v, (a) as a function of x at t = 0, (b) as a function of t at x = 0 for w/k > 0, and (c) as a function of I at x = 0 for w/k < 0. Note that the time patterns can be obtained by translating the x patterns in the proper direction, as if the wave were passing by a fixed observer. Q.3. By writing the linearized Poisson's equation used in the derivation of simple plasma oscillations in the form V . (E E) = 0 derive an expression for the dielectric constant E applicable to high frequency longitudinal motions.1. Cannot be! Imagine a certain kind of particle, such that each single-particle state can be occupied by at most M particles, with M > 1. For M = 1 and M = ∞, we recover the usual fermion and boson cases. We will focus on the case when the particles do not interact with each other, and the single particle quantum states i have energies e¿. Assume that the system is in equilibrium at temperature T and chemical potential μ. (a) (b) (c) above. Calculate the appropriate partition function for the system in the conditions discussed Compute, as a function of temperature and chemical potential, the average occupation number (n) for state i, and find simplified expressions in the low and high temperature limits. For M1, does the system have the analog of a Fermi energy, i.e. an energy at which the occupation number is discontinuous at T = 0?
- Boltzmann distribution a) There are 1000 molecules are bouncing at 300K between two wells separated by a free energy gap G1= 3 * 10-21 J. Calculate how many particles on average are in each well. Boltzmann constant k = 1.38 * 10-23 J/K b) 1000 molecules are bouncing between wells separated by enthalpy gapsH1= 1 *10-20 J and H2 = 2* 10-20 J. Considering multiplicities of each state write the partitionfunction and calculate the occupancies of states 2 and 3 at 300K and 370K.1. Given the state vector represented by the column 1 2 V6|1 Calculate (H) and (H²) as defined by the hamonic oscillator.la) The maximum value of the Planck spectrum for 91 photons at 6 Kelvin is (k=Boltzmann constant) Select one: O a. 182.00 Ob. 16.92k Oc. 546.00 O d. zero Oe. 91.00 b) A box contains 3 identical fermions. What is the partition function if each particle can occupy any of 10 single- particle states? Assume that the energy for each of these states is zero. Select one: O a. 1 Ob. 495.00 Oc. 100 Od. zero Oe. infinity
