If 8(r - r') is the Dirac delta function then 8(r— r') = ∞o when: O a.rr' Ocr=r' O d. r #r' The wavefunction of a particle in a box is represented by: O a. 2 y(x) =, O b. O C. y(x) = O d. y(x) = nx () a y(x) =₁ 2 sin 2 √=sin() NAX 2 sin TX a
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- What is the difference in energy between the nx=ny=nz=4 state and the state with the next higher energy? What is the percentage change in the energy between the nx=ny=nz=4 state and the state with the next higher energy? (b) Compare these with the difference in energy and the percentage change in the energy between the nx=ny=nz=400 state and the state with the next higher energy.Atoms in a crystal lattice vibrate in simple harmonic motion. Assuming a lattice atom has a mass of 9.41026kg, what is the force constant of the lattice if a lattice atom makes a transition from the ground state to first excited state when it absorbs a 525m photon?The distance (spacing) between the energy levels of a harmonic oscillator is: a. Decreasing with n b. 2 c. constant d. Increasing with n I will rate accordingly. Don
- For the wave functions and and the operator à the bra-ket notation of the integral Apdr P O a. ¹. · O C. d. (öp) O d. If 8(r r') is the Dirac delta function then 8(rr') = 0 when: O a.rr' Ocr=r' O d. rr' 3:The sine wave in the Simulink model below has a peak voltage of lv. The output displayed on the scope is Sine Wave Biss Scope O a. Sine wave with no offset (0 reference) O b. Sine wave with 20v offset O c. square wave with peak voltage of 1 V O d. Sine wave with 5v offset O e. square wave with peak voltage of 6 V O f.Sine wave with 10v offset5. Kittel Ch3-7. Zipper problem. A zipper has N links; each link has a state in which it is closed with energy 0 and a state in which it open with energy &. We require, however, that the zipper can only unzip from the left end, and that the link number s can only open if all links to the left (1,2,...,s-1) are already open. (a) Show that the partition function can be summed in the form Z = 1- exp[-(N+1)ɛ / t] 1- exp(-ε/T) (90) (b) In the limit & >>7, find the average number of open links. The model is a very simplified model of the unwinding of two-stranded DNA molecules-see C. Kittel, Amer. J. Physics 37, 917 (1969).
- 2. Write the formula for Femi-Dirac distribution function:The wavefunction of a 1D PIB is given by: 4₁-415567 sin([π/a] x) what is the box length in pm? O a. 7.82 O b. 27.2 O c. 16.8 O d. 19.7 O e. 11.6QUESTION 3 Consider a wavefunction defined by: xL The product of the normalisation constant A and ,7, is equal to: а. 30 b. 15 V12 С. 24
- Q10 What is the significance of the wave function?32. Check the normalization of ψ0 and ψ1 for the harmonic oscillator and prove they are orthogonal. [ψ0= e-ax2/2(C0) and ψ1= e-ax2/2(C1x)]An proton is confined within a region of width 3.22 x 10-¹1 m. What is the minimum kinetic energy of a proton? A. 41.66 J. B. 1.70 x 10¹6 J. C. 8.02 x 10-22 J. D. 6.99 x 10-50 J.