e0 cmo nuc vA DAo TAo DAI HOC UUP Hq ud,t€n thi s'inh:. 56 bd,o danh: KY THI TUYEN SINH SAU DAI HoC xAvT 2006 M6n thi: Vdt li Ly thuyct lrtctng hat vi D),nh cho: Cao hoc Thdi gian lb,m bd,i: 180 phirt A. CO HQC LUQNG TU Cdu 1: Dao hdm cfia to5,n tfi theo thdi gian vb, tich phAn chuydn dOng trong co hoc ttt. Chfing minh rang n5,ng luong E vb, hinh chi€ti p, ctra xung luong tr€n truc Or cta mO chuyOn dOng tu do lb, nhfrng tich phAn chuydn dOng. CAu 2: Trong hC toa dO cau (r,0,@), toan trl hinh chi€u mOmen xung h-tong co dang: ^al L,:-ih^,v6t0<0<.2n. -d6 1. Tim tri ri€ng va ham ri€ng chud,n ho5, cria to5,n tfr L". 2. Tim x5,c su6t do dudc c5,c tri ri€ng L, khi hat 6 trang thai ,!@) - trring binh cfi,a L" 6 trang tliSi ndy. cos @ va tri B VAT IY THONG KE CAu 3: Th6ng ke luong trl cira h€ hat boson dOng nh6t : ThOng k€ Bose-Einstein, CAu 4: Cho mQt he khi ly tLr6ng. a) Til phdn b6 chinh tdc Gibbs, hay suy ra ph6,n b6 Ma-xwell-Boltzmann dOi v6i h€ dilt trong trudng lr,rc. b) Viet bi€ii thirc cr'ia s6 phAn tir kiri ly tudng c6 dO l6n vAn t6c ndm trong khoing lr,,,u I dul, trong do du Ia luong bi€n thiOn vi c6p cfra dO ldn vdn t6c u. c) Tim gi6 tri trung binh, gia tri tod,n phudng trnng binh, gi6 tri c6 x6.c sr-rAt cuc dai ciia vAn t6c klii ly tudng. Cho bi€t cac tich ph6n (vdi a > 0): 1,3 5 (2, - 1) /,* )n -^-2 , ,r"," p g& d/r - vw&- 2n+t nt 2A"+1' n: I,2,3, n - 0,I,2, Ghi chti"; Thi sinh khOng duqc st dung td,i li€u. Cd"n b0 coi thi kh7ng gidi thich gi th,€m. /r* ,2n*7 e-o" d"r - 7( Arrt+1 . DAo TAo DAI HOC UUP Hq ud,t€n thi s'inh:. 56 bd,o danh: KY THI TUYEN SINH SAU DAI HoC xAvT 2006 M6n thi: Vdt li Ly thuyct lrtctng hat. d/r - vw& ;- 2n+t nt 2A"+1' n: I,2,3, n - 0,I,2, Ghi chti"; Thi sinh khOng duqc st dung td,i li€u. Cd"n b0 coi thi kh7ng