NYC equation sheet (letter size) - John Abbott...
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Physics NYC Equation Sheet Simple Harmonic Motion x F kx = − () cos( ) ω φ = + xt A t 2 2 f T π ω π = = 2 L T g π = 2 m T k π = 2 1 2 v K m = g U mgh = 2 1 2 s U kx = 2 1 2 total E K U kA = + = Quantum Physics hc E hf λ = = 0 φ = − eV hf !"# = ! h p λ = ( ) 1 cos e h mc λ φ Δ = − Δx Δp x ≥ () 2 2 2 1 2 8 n nh E nE mL = = 2 () sin( ) n nx x L L π ψ = 1 2 2 13.6eV n E E n n − = = Waves and Sound ( , ) A cos( ) yxt kx t ω = ± 2 k π λ = v f k ω λ = = F v μ = 2 2 1 av 2 F P A μ ω = SW (,) sin( )sin( ) yxt A kx t ω = f beat = Δf = f a − f b av P I A = 0 10log I I β = f L = v ± v L v v S ! " # # $ % & & f S Relativity 0 γ Δ = Δ t t 0 γ = l l 2 2 1 1 u c γ = − 2 1 / − = − x x x ' v u v vuc 2 1 / + = + x x x v u v vuc V AB = V AD +V DB 1 + V AD V DB c 2 p = γ m v 2 2 E mc K mc γ = = + ( ) ( ) 2 2 2 2 = + E mc pc Interference and Diffraction sin d m θ λ = ( ) 1 2 sin d m θ λ = + sin a m θ λ = 2 sin π φ θ λ = d 2 sin π β θ λ = a 1.22 λ θ = D 2 max cos 2 I I φ = 2 max sin( / 2) /2 I I β β = Constants Speed of sound in air (20°) = 343 m/s Threshold of hearing: 12 2 0 1.0 10 W/m I − = × Audible range: 20 Hz to 20000 Hz Visible spectrum: 400 nm to 700 nm 8 3.00 10 m/s c = × 19 1 eV 1.60 10 J − = × 31 e 2 9.11 10 kg 0.511 MeV/ m c − = × = 27 p n 2 1.67 10 kg 938 MeV/ m m c − = = × = 34 15 6.63 10 Js 4.14 10 eV s h − − = × ⋅ = × ⋅ 2 9.81 m/s g = 1 13.6 eV E = − for hydrogen atom e = 1.6 x 10 -19 C
Transcript of NYC equation sheet (letter size) - John Abbott...
Physics NYC Equation Sheet
Simple Harmonic Motion xF kx= − ( ) cos( )ω φ= +x t A t
22 fTπ
ω π= =
2 LTg
π=
2 mTk
π=
212 vK m=
gU mgh= 21
2sU kx= 21
2totalE K U kA= + = Quantum Physics
hcE hfλ
= =
0 φ= −eV hf 𝐾!"# = 𝑒𝑉!
hpλ
=
( )1 cose
hm c
λ φΔ = −
Δx Δpx ≥ ( ) 2 2
2128n
n hE n EmL
= =
2( ) sin( )n
n xxL L
πψ =
12 2
13.6eVnEEn n
−= =
Waves and Sound
( , ) A cos( )y x t kx tω= ± 2k πλ
=
v fkω
λ= =
Fvµ
=
2 21av 2 F P Aµ ω=
SW( , ) sin( )sin( )y x t A kx tω=
f beat = Δf = f a − f b
avPIA
=
0
10log II
β⎛ ⎞
= ⎜ ⎟⎝ ⎠
f L =v ±vLv vS
!
"##
$
%&& f S
Relativity
0γΔ = Δt t
0
γ=ll
2 2
11 u c
γ =−
21 /−
=−x
xx
' v uvv u c
21 /ʹ′ +
=ʹ′+x
xx
v uvv u c
VAB =VAD +VDB
1+ VADVDBc 2
p = γm v 2 2E mc K mcγ= = +
( ) ( )2 22 2= +E mc pc
Interference and Diffraction sind mθ λ=
( )12sind mθ λ= + sina mθ λ= 2 sinπ
φ θλ
= d
2 sinπβ θ
λ= a
1.22 λθ =D
2max cos 2
I I φ⎛ ⎞= ⎜ ⎟⎝ ⎠
2
maxsin( / 2)
/ 2I I β
β⎛ ⎞
= ⎜ ⎟⎝ ⎠
Constants Speed of sound in air (20°) = 343 m/s
Threshold of hearing: 12 20 1.0 10 W/mI −= ×
Audible range: 20 Hz to 20000 Hz
Visible spectrum: 400 nm to 700 nm 83.00 10 m/sc = ×
191 eV 1.60 10 J−= × 31
e2
9.11 10 kg
0.511 MeV/
mc
−= ×
= 27
p n
2
1.67 10 kg
938 MeV/
m m
c
−= = ×
=
34
15
6.63 10 J s 4.14 10 eV sh −
−
= × ⋅
= × ⋅ 29.81 m/sg =
1 13.6 eVE = − for hydrogen atom
e = 1.6 x 10-19 C
