Phys1001 Physics 1 (Regular) Formula Sheet Page 3
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1
2
3CC1529
Semester 1, 2015
Page 3 of 3
Thermal physics
V
∆L = αL
∆T,
∆V = βV
∆T
2
0
0
W =
p dV,
∆U = Q
W
Q = mc∆T,
Q = nC∆T,
Q =
mL
V
1
pV = nRT = N kT
N = nN
dU = dQ
dW
(infinitesimal process)
A
3
2
dQ
C
=
R (ideal monatomic gas)
∆S =
(reversible process),
S = k ln w
V
2
T
1
5
P
C
=
R (ideal diatomic gas)
V
I =
2
A
C
= 3R (ideal monatomic solid)
V
dQ
T
T
H
C
4
4
H =
= kA
,
H
= Aeσ(T
T
)
C
net
s
P
dt
L
C
= C
+ R,
γ =
P
V
C
dQ
V
abs
4
H
=
= AeσT
and H
= aIA
abs
s
abs
f
dt
C
=
R (f = degrees of freedom)
V
dQ
2
rad
4
H
=
= AeσT
rad
γ
pV
= constant
dt
3
λ
T = 2.898
10
γ 1
m.K
T V
= constant
peak
∆U = nC
∆T
V
3RT
v
=
Q = nC
∆T,
Q = nC
∆T
rms
M
V
p
Q = W = nRT ln (V
/V
)
m
= nM = nN
m
2
1
A
tot
T
T
T
W
Q
C
H
C
C
e
= 1
=
e =
= 1
Carnot
T
T
Q
Q
H
H
H
H
T
C
Q
Q
K
=
C
C
Carnot
K =
=
T
T
H
C
W
Q
Q
H
C
3
1
3
2
K
=
nRT,
m(v
)
=
kT
tr
av
2
2
2
Mechanical waves
Longitudinal sound waves
2π
v = λf,
k =
B
Y
λ
v =
(fluid), v =
(solid rod)
ρ
ρ
F
ω = 2πf = vk,
v =
γRT
µ
v =
(ideal gas)
M
y(x, t) = A cos(kx
ωt)
nv
f
=
(n = 1, 2, 3, . . .) (open pipe)
n
y(x, t) = (A
sin kx) sin ωt (standing wave)
2L
SW
nv
String fixed at both ends:
f
=
(n = 1, 3, 5, . . .) (stopped pipe)
n
4L
v
f
= n
= nf
(n = 1, 2, 3, . . .)
v + v
v
n
1
L
2L
f
=
f
,
sin α =
L
s
v + v
v
S
S
1
F
f
= f
f
f
=
beat
a
b
1
2L
µ
I
β = (10 dB) log
I
0
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