1
The
The following
following values
values may
may be
be used:
used:
acceleration
acceleration due
due to
to gravity
gravity
gg == 9.80
9.80 m/s
m/s” 2
gravitational
gravitational field
field constant
constant
g = 9.80 N / kg
g=9.80N/
kg
universal gravitational
universal
gravitational constant
constant
G
= 6.67 X
10-11 NN m
G=6.67
X10"!
mn’2
2
/kg
/kg?
speed
speed of
of light
light in
in air
air
8
cc =
= 3.00
3.00 X
X 10
108 m/s
m/s
Coulomb
Coulomb constant
constant
9
2
kk=9.0
= 9.0 XX 10
Nm
/ C2
10°N
m?/C?
11 elementary
elementary charge
charge
ee== 1.602
10-19 C
1.602 X
X10”C
11 electron
electron volt
volt
-19
eV
= 1.602 X
eV=1.602
X 10
101° JJ
Plank’s
Plank’s constant
constant
-34
hh=6.63
= 6.63 X
Js
X 10
10*4Js
-15
hh=414X
= 4.14 X 10
10% eV
eVs s
mass
mass of
of an
an electron
electron
m
mee == 9.11
9.11 X
X 10
10°!-31 kg
kg
mass
proton
mass of
of aa proton
m
Mpp == 1.67
1.67 X
X 10
10°’-27 kg
kg
mass
mass of
of aa neutron
neutron
-27
m
kg
mn n =
= 1.67
1.67 X
X 10
10°’
kg
radius
radius of
of the
the Earth
Earth
rree =
= 6.38
6.38 X
X 10
10°6 m
m
mass
mass of
of the
the Earth
Earth
m
me e =
= 5.98
5.98 X
X 10
10%24 kg
kg
Magnetic
Magnetic Permeability
Permeability of
of free
free space
space
4π
x 10-7 T m / A
4nx107Tm/A
Vq L 2

Add y, =
= Vq_ (—£.)
dm ‘v,>
v0
* 2Dam
𝐺𝑀
GM
𝑣𝑜𝑟𝑏 = √ 𝑟
Vq
ay =
=—Vq
* dm
dm
_ LL
tbtwn
plates =
btwn plates
~~ Vo
v0
𝐺𝑀
GM
𝑔 = 𝑟2
𝑠𝑖𝑛𝐴
sinA _ 𝑠𝑖𝑛𝐵
sinB _ 𝑠𝑖𝑛𝐶
sinc
a
𝑎
=
~
𝑐c*2 =
=a’𝑎2 +
+b?𝑏 2 −
— 2𝑎𝑏𝑐𝑜𝑠𝜃
2abcosé
D
𝑏
=
~
𝑐c
2 −4𝑎𝑐
−𝑏∓√𝑏
—b¥vVb2-4ac
𝑥
x =
= ———
2𝑎
2a
2
Chapter 1
Chapter 3
T =
FF yp sin 0
F=
Stres ress = —AF
—kx
Ep
AL
= —
Strain
kRA*® = mv”
Chapter 4
p=
my
BAL — Saar?
B
_ Ap
_
mAV
At
=
ma
=
0
Protal; nitial
=
Chapter7
_ Ae
ORE
Y=
Protalgnat
=
Pom
ro
a= ra
_AtAw
Chapter 5
a=
F=kx
re
_
W=
F-Ad
= FAd cos 0
Ws
@)
oT
At
Ex, = smv
A6
=
E. = hx?
A®
= w,At
5(o1
+
>"
Ep
+
Ex
AF, = mgAh
+ soi
= w," + 2ad6
T=7X
EF =rF sit
7T=Ia
E
=—=Fy
t
Trotat = Tem + mP?
Wr
= 70
Fx otational
gle
L = Io
Yo,
Chapter 6
E,=
—GMm
r
=
Ey =
a
—GMm
2r
3
as
= TI-o-¢
Chapter 8
r=
k DA ;
r
2GM
Vese
wo)A
A@ = w,At — sak
2
Ex, = PP
2m
Etotal
+ kx’®
s=r0
At
J = Ap = Fat
AProtal
kx
Ex = skA®
L
PAt + Sade
1,2
=
2
3
smy, = q(Vi — V2)
kaya:
Nq2
E, =
R=Nm=—~d
hy r
—
m
"
APD = (or
ul
-— 1)
iN
_
(destructive interference)
a
_
Be
e
wax
L
_4
m=
Chapter
Op
10
=
__ Moe
1-2
5
;
2d
sin
Ave
0
=
1
Ff
v=
_
Chapter 12
!
P
=
.
2898
x 10"
max
~
Ave
+
1+
a
T
Myv
r=
x = Acos 0
n=<
° 0; = m sin0,
7m, sin
h
Py
f= plo
ax
E
oton
‘max
Ww
°
Chapter 14
c
1
Essay = life + gmv"
ApyAy
AE=>
Am
=
on
4X
$c4Y + 4He
h
3
A
ZX
A
0
724i
¥ + e+
h
AX
5 4¥4+%4y
T
aX+ Me
AEAt= on
Chapter 11
Double Slit and Diffraction Grating
-
uS
E
Il, = I, cos’0
io
tan 6, = —
Bc
(As)? = e2(An? — (Ax)?
3
c=hf
_!
:
Ln = MVP n
md
=|PuS2 — PnS1|
(constructive interference)
Po =
md
= dsin On
5.29 x 10°" m
in
:
2-4Y¥ +9
1\t
hen
N=No
m.ke 2
2
tr
r= 1.2¥A (fm)
n
n22
Activity = 0.693N
i4
Eg =
~2.18 x 1078
J
1
(11 phase
22ntnt =
(m + we)
phase shift
shift constructi
ve; 0Oor2
or 2 phase
phaseshifts
shifts destructiv
=(m+
constructive;
d estructive|e
2
[I1 Phase
22ntnt =
m
phase shift
shift destructiv
or 2 phase
phase shifts
shifts constructi
=mA
destructive;e; 0
Oor2
constructiveve|
22t=mA
t = m
[air
air wedge
wedge]
_
2
= moe! + Fy
d
=
my
;
oe
b= me =
E = moc? + qV (linacs)
,
one
on
(mye)? + (m9e7)? = (me?)
1.22
2V
1-2
——
(m + sh) (constructive interference)
F = qvB sin @
mr
p
Ww,
;
B=
2
.
my = w sin Oy
my =
|
Mo
m=
Single Slit
2rr
WNT
B= or
vy
_
_¥
L=1o)/1-4
2t
Chapter 9
F = BIL sin @
B-
lg
me AR
te
13
t0
L
em 7
Y=
Chapter
_
dAx
=
r
Vv
(m + Py) (destructive interference)
_
v