Download - 1.Efecto Compton
-
8/18/2019 1.Efecto Compton
1/18
SIMULACIÓN DEL EFECTO COMPTON
INTEGRANTES DEL GRUPO:
JUAN SEBASTIAN SORA ALBORNOZ
1049645691
jua!"#a!$%a!&'a()&$*a%+,-&*
ENTREGADO A: GERMAN BARRERA
DIRECTOR DEL CURSO: DOLFFI RODRIGUEZ
UNI.ERSIDAD NACIONAL ABIERTA / A DISTANCIA
INGENIERIA ELECTRONICA
ESTRUCTURA MOLECULAR
DE MARZO DE 016
-
8/18/2019 1.Efecto Compton
2/18
P'&23!%$&:• I"$%%-a' +&! ua*"$&! !%-&! 7u" "!-'%#" "+ ""-$& -&*2$&8
"$"'*%a& +a ""'a +%#"'aa 2&' u &$3,O#j"$%&:
• D"$"'*%a' +a -&!$a$" " P+a-; 7u" !" 2'&u-" 2&' +a +&%$u " &a
" +a 'a%a-%3 %!2"'!aa a %"'"$"!
-
8/18/2019 1.Efecto Compton
3/18
FUNDAMENTO TEORICO:E+ ""-$& C&*2$& "! "!-'%$& 2&' A'$)u' C&*2$&8 7u%" +&'a u P'"*%& N"+" F!%-a " 19?8 "#%& a 7u" !u "!-u#'%*%"$& 2"'*%$%3 -&!&+%a' +&!E!$u%&! " +a a$u'a+"@a -u! " +&! "!$u%&! " P+a-;!'" "+ -u"'2& "'& = +a "2+%-a-%3 " A+#"'$ E%!$"% "+ ""-$& &$&"+>-$'%-&,
E+ ""-$& C&*2$& *u"!$'a -a*#%&! " +&%$u " &a " +a 'a%a-%3"+"-$'&*a>$%-a " a+$a ""'a a+ !"' %u%a 2&' +&! "+"-$'&"!, Pa'a "+ -a!&"+ ""-$& &$&"+>-$'%-& !" -&!%"'a a+ "+"-$'3 -& ua ""'a E ) 2"'& " "+""-$& C&*2$& !" $%"" " -u"$a 7u" "+ &$3 $%"" u *&*"$& +%"a+ 2E-,
E+ au*"$& " +a +&%$u " &a 7u" !" 2'"!"$a " "+ &$3 " 'a=&! a+-)&-a' -& u "+"-$'3 +%#'" )a-" 7u" !" 2'"!"$" ua 2>'%a " ""'a, La'"-u"-%a & +a +&%$u " &a " +a 'a%a-%3 %!2"'!aa "2"" %-a*"$"" +a %'"--%3 " %!2"'!%3,
E+ ""-$& &-u''" -ua& "+ &$3 &+2"a a u "+"-$'3
A+ -&*%"@& "+ &$3 2'"!"$a ua ""'a E) = -& u *&*"$& +%"a+8 2)-,E+ "+"-$'3 2'"!"$a ua ""'a "7u%a+"$" a E*- = "+ *&*"$& +%"a+ "-"'&, E+&$3 -&+%!%&a -& "+ "+"-$'3 *"%a$" u -)&7u" "+
-
8/18/2019 1.Efecto Compton
4/18
Pa'a "!$" -a!& "! "-"!a'%& %%-a' 7u" " u -)&7u" "+! "+ -)&7u":2 2H 2"
D" %ua+ *a"'a !" $%"" " -u"$a +a ""'a "+ &$3 %-%"$" E=hf = +a
""'a "+ &$3 %!2"'!a& E' =hf '
La ""'a -%>$%-a "+ "+"-$'3 "!2u>! "+ -)&7u" "#%& a+ '"$'&-"!& 7u"a+-a@a"+&-%a"! -"'-aa! a +a " +a +u@8 !" %%-a " a-u"'& a+ 2'%-%2%& "-&!"'a-%3 " +a ""'a8 &" *" "! +a *a!a " '"2&!& "+ "+"-$'3 9,1 10K1 ; = " +a -ua+ !" $%"" +a "2'"!%3:
1 E ' =
1 E=
1me c
2 (1−cos θ)
/ a$"%"& a +a '"+a-%3 "$'" '"-u"-%a = +&%$u " &a !" -&%"'$" " +a"2'"!%3 "7u%a+"$"
λ' − λ=
1
me c2(1−cosθ)
D" a7u !" $%"" "+ a+&' " +a -&!$a$" " 2'&2&'-%&a+%a - a 2a'$%' " +a!-&!$a$"! ua*"$a+"! )8 *" = -,
-
8/18/2019 1.Efecto Compton
5/18
DATOS EPERIMENTALES
Da$&! $"%&! -& "+ S%*u+a&' 1
Au+&Ra%a-%3
I-%"$"
Ra%a-%3
I-%"$"*"$'&!
Ra%a-%3
D%u%a
A'*!$'&
Ra%a-%3D%u%aM"$'&!
C&!$a$"
ʎ-
C&!$a$"
ʎ-*"$'&!
0 0801?18?101
0801?18? 101
15 0801?18?101
080196118961101
0804K56
84K56101
K0 0801?18?101
0800K80K101
08045K
845K101
45 0801? 18?101 08059 859101
0804?50
84?50101
60 0801?18?101
080K091K8091101
08046 846101
?5 0801?18?101
080K6??K86??101
0804?0
84?0101
100 0801?18?101
0804?648?6101
080466
8466101
115 0801?18?101
0805KK158KK1101
0804?1
84?1101
1K0 0801?
18?101
080565
586510
1
080469
?
8469?101
145 0801?18?101
08069K689K101
0804695
84695101
C&!$a$" P+a-;
686499 10K4686510K4686?010K4686K010K4
686610K46864?10K46866K10K46865610K46865610K4
-
8/18/2019 1.Efecto Compton
6/18
G'a%-a! "+ !%*u+a&' 1
Au+& " %!2"'!%3 15
Au+& " %!2"'!%3 K0
Au+& " %!2"'!%3 45
-
8/18/2019 1.Efecto Compton
7/18
Au+& " %!2"'!%3 60
Au+& " %!2"'!%3 ?5
Au+& " %!2"'!%3 100
Au+& " %!2"'!%3 115
-
8/18/2019 1.Efecto Compton
8/18
Au+& " %!2"'!%3 1K0
Au+& " %!2"'!%3 145
Da$&! "+ !%*u+a&'
S%*u+a&' Au+& "!"'a-%3
L&%$u " &a%-%"$" E1*
Au+& "+"+"-$'3
L&%$u " &a%!2"'!aa
0 1015 10 0,?0 1,00 E11*
K0 10 ?1,5 1,0K E11*45 10 6,?61 1,0?1 E11*60 10 54,KK9 1,11 E11*?5 10 46,K6 1,1?9 E11*
100 10 K4,06 1,4 E11*115 10 ?,14 1,K45 E11*1K0 10 0,566 1,K9 E11*145 10 14,K6 1,441 E11*
G'a%-a! "+ !%*u+a&'
-
8/18/2019 1.Efecto Compton
9/18
Au+& " !"'a-%3 15
Au+& " !"'a-%3 K0
Au+& " !"'a-%3 45
Au+& " !"'a-%3 60
-
8/18/2019 1.Efecto Compton
10/18
Au+& " !"'a-%3 ?5
Au+& " !"'a-%3 100
Au+& " !"'a-%3 115
Au+& " !"'a-%3 1K0
-
8/18/2019 1.Efecto Compton
11/18
Au+& " !"'a-%3 145
Au+& " !"'a-%3 160
-
8/18/2019 1.Efecto Compton
12/18
CALCULOS
4, E+a#&'a' ua $a#+a -& +&! a$&! $"%&! = '"a+%@a' +a! -&"'!%&"! " Q a *,
T&*a'"*&! u "j"*2+& = "+ 2'&-"!& !"'< a
0,02589 A∗1∗10−10 m1 A
=0,02589∗10−10 m=2,589∗10−12 m
5, R"a+%@a' +&! -
-
8/18/2019 1.Efecto Compton
13/18
, a++"*&! +a -&!$a$" P+a-; )8 "a*&! 7u"
λ
(¿¿ ' − λ)me c
(1−cosθ)h=¿
A!
h=
(3,677∗10−12 m−1,878¿10−12 m )∗9,1∗10−31∗( 3∗108
m
s )(1−cos75)
=66,26∗10−35 Js=6,626 ¿10−34 Js
K,1 a++"*&! +a -&!$a$" λc 8 "a*&! 7u" λc= λ
' − λ1−cosθ
C& θ=115 $""*&! 7u" λ' =5,331∗10−12m y λ=1,878 ¿10−12m
A! λc=5,331∗10−12
m−1,878 ¿10−12
m1−cos115 =
2,4272¿10−12 m
K, a++"*&! +a -&!$a$" P+a-; )8 "a*&! 7u"
λ
(¿¿ ' − λ)me c
(1−cosθ)h=¿
A!
h=(5,331∗10−12m−1,878¿10−12m )∗9,1∗10−31∗(
3∗108
ms )
(1−cos75) =66,26∗10−35 Js=6,626 ¿10−34 Js
1K, E2+%-a' +a a'%a-%3 " +a '"-u"-%a -& '"+a-%3 a+
-
8/18/2019 1.Efecto Compton
14/18
Pa'a θ=75 $""*&! 7u"
λ' =3,677∗10−12 m y asi n=
3∗108 m
s
3,677∗10−12m=8 ,1588∗1019 hz
Pa'a θ=115 $""*&! 7u"
λ' =5,331∗10−12m yasin=
3∗108 m
s
5,331∗10−12m=5,6274∗1019hz
O#!"'a*&! "$&-"! 7u" a *"%a 7u" "+ Au+& au*"$a +a '"-u"-%a%!*%u=",
14, A 2a'$%' " +&! a$&! $"%&! " "+ !"u& !%*u+a&' )a-"' +&! -
-
8/18/2019 1.Efecto Compton
15/18
• E+ ""-$& C&*2$& !3+& "! !"'a#+" 2a'a 'a%a-%&"! " "+"aa'"-u"-%a #aja +&%$u " &a 1011 3 101 *8 "! "-%' 2a'a 'a%a-%&"!" +a @&a "+ "!2"-$'& 7u" -&''"!2&" a +&! 'a=&! & 'a=&! a**a,
1, Cu$%-a, A"*$%-a,
-
8/18/2019 1.Efecto Compton
16/18
ANALISIS DE RESULTADOS
O#!"'a*&! 7u" +a +&%$u " &a %!2"'!aa "! *a=&' 7u" +a +&%$u " &a%-%"$"8 $a*#%> "*&! 7u"8 +a +&%$u " &a " +a 'a%a-%3 %!2"'!aa8"2"" "+
-
8/18/2019 1.Efecto Compton
17/18
CONCLUSIONES
• 2&"*&! "2+%-a' +a %!2"'!%3 " +a 'a%a-%3 "+"-$'&*a>$%-a 2&' +&!"+"-$'&"! +%#'"! -&*& ua -&+%!%3 "+
•
A 2a'$%' " +a! "-ua-%&"! " -&!"'a-%3 "+ *&*"$& +%"a+ = " +a""'a8 ++"a*&! a +a "-ua-%3 7u" &! '"+a-%&a +a +&%$u " &a " +a
'a%a-%3 %-%"$" λ -& +a +&%$u " &a " +a 'a%a-%3 %!2"'!aa
λ = -& "+
-
8/18/2019 1.Efecto Compton
18/18
BIBLIOGRAFIACASANO.A8 ., K " FEBRERO " 011, ASTROFISICAYFISICA. O#$"%& "
ASTROFISICA/FISICA: )$$2:,a!$'&%!%-a=%!%-a,-&*0110"+""-$&-&*2$&,)$*+
GARCIA8 A, F, 010, FISICA CON ORDENADOR , O#$"%& " FISICA CONORDENADOR:)$$2:,!-,")u,"!!#"#%!%-a-ua$%-a-&*2$&C&*2$&,)$*
SORIANO8 J, G, 00?, PROBLEMAS DE MECÁNICA,ELECTROMAGNETISMO, GRAVITACIÓN Y DE , O#$"%& "PROBLEMAS DE MECVNICA8 ELECTROMAGNETISMO8 GRA.ITACIÓN /DE: )$$2:-"'"@&,2$%-,*"-,"!Wj'%*a""-$&-&*2$&,)$*