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
xungh-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