Formulario De PRueba

FORMULARIO OFICIAL PARA CERTAMENES
CONSTANTES

B z (x,t) = B0 cos(kx − ω t)

3 108 [m / s] ; e ≈ 1,6 10− 19 [C]

c

k c = 1 4πε0
e2 4πε0

B0 = E0 / v ;

9, 109 [Nm2 / C2 ]
4π 10− 7 [N / A 2 ]1,44[eV ⋅ nm] ; µ0

NA = 6,0 1 023 [m o l− 1 ]

ÓPTICA GEOMÉTRICA

k B = 1,38 10 − 23 [J / K] = 1/ 12000[eV / K]

n = c/v ;

1[eV] = 1,6 10 − 19 [J]
1[ u] = 1,66 10 − 27 [kg] = 931,5 MeV / c 2

K=

; p = mv ; ac =
2

(

F = q E + v×B

f = R / 2 : espejos

v2
R

p
1
; E = K+U
m v2 =
2
2m

mgh
U=

)

1
2

kx 2

q ∆V

ECUACIONES DE MAXWELL
E dA = Q / ε0 ;

Dos fuentes en fase:
φ
I = I0 cos2
; φ = k d senθ
2
m λ : m áxim o s

d
B ds = µ0I + µ0 ε0 φE
dt

;

B dA

w B = B2 / 2µ0

∂ Ey
1
= 2
2
∂x
v

∂ Ey
∂ t2

∂ 2Bz
1
= 2
∂ x2
v

∂ 2B z
;
∂t2

1
λ : m ínim os
2

sen N φ / 2
sen φ / 2

2

; φ = k d sen θDifracción una rendija : I = I0

k

S = ExB / µ0

B

E y (x, t) = E0 cos(kx − ω t) ;

m+

sen β / 2
β/2

2

β = k a sen θ ; a sen θ = m λ : m ínim os.
E

2

v=

( )

Interferencia N rendijas:

I = I0ONDA ELECTROMAGNÉTICA
2

ÓPTICA ONDULATORIA

d sen θ =

E dA ; φB =

w E = ε ⋅ E2 / 2

1
1
1
: len te s
= ( n − 1)
−
f
R1 R 2

B dA = 0

d
E ds = − φB
dt
φE =

θr = θ1

1 1 1
+ =
s s' ƒ

CLÁSICA

dpdt

n1λ1 = n2 λ 2

n1 sen θ1 = n2 sen θ 2 ;

1[ f m] = 10 − 15 [m]

Fneta =

1
v ε E02 ; S = P / A
2

S = I = v wEB =

Energia : ∆E = S ⋅ A ⋅ ∆t ;
Momentum : ∆ p = ∆ E c

= h / 2π

h ⋅ c = 1240 [eV ⋅nm] ;

n = c/v

ω = kv ↔ v = λ f , ω = 2π f , k = 2π / λ

h = 6,6 10 − 34 [J s] = 4,1 10 − 15 [eV s]

FÍSICA

DE FIS 140

1
εµ

RED DE DIFRACCIÓN: dsen θ = m λ : m áxim os.

POLARIZACIÓN:
RESOLUCIÓN:I = I0 cos2 α
D sen θ = 1,22λ

CUÁNTICA
p2
h
1
2
λB =
; E = hƒ ; K = m v =
p
2
2m
−3
λmT = 3 ⋅ 10 [m ⋅ K ] ;

RELATIVIDAD ESPECIAL
x ' = γ ( x − vt ) ; y ' = y
t ' = γ ( t − v x / c2 ) ; γ =

hƒ = Kmáx. + φ0

λ '− λ = λ C (1 − cos θ ) ;

h
= 2, 4 ⋅ 1 0 − 1 2 [m] : e lec tro n
mc
2dsen θ = m λ ;
∆ x ∆ px ≥ h 4 π
λC =

∂Ψ
−
∇ + U Ψ ( r,t ) = i
.
2m
∂t
2

2

Ψ ( x,t ) = ψ ( x ) e −iEt /
d2 ψ
+...