Hq ud,t€n thi s'inh:.
e0 cmo nuc vA DAo TAo DAI HOC UUP
56 bd,o danh:
KY THI TUYEN SINH SAU DAI HoC xAvT 2006 M6n thi: Vdt li Ly thuyct D),nh cho: Cao hoc
Thdi gian lb,m bd,i: 180 phirt
A. CO HQC LUQNG TU
lrtctng truc Or cta
hat vi
^ a l L , : - i h ^ , v 6 t 0 < 0 < . 2 n . - d 6
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 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:
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 ,!@) - cos @ va tri
trring binh cfi,a L" 6 trang tliSi ndy.
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.
7(
- ^ - 2 g &
-
) n , r " , " p
, d / r
v w & -
Cho bi€t cac tich ph6n (vdi a > 0):
A r r t + 1
n : I , 2 , 3 , . . .
1 , 3 5 . . . ( 2 , - 1 ) 2 n + t
/ , *
n t
,2 n*7 e-o " d"r -
n - 0 , I , 2 , . . .
2 A " + 1 '
/r*
Ghi chti"; Thi sinh khOng duqc st dung td,i li€u. Cd"n b0 coi thi kh7ng gidi thich gi
th,€m.
