Laboratorio Fisica Mediciones y Errores FIQT

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  • 7/23/2019 Laboratorio Fisica Mediciones y Errores FIQT

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    WOBZGVQBMIM OIABHOIE MG BONGOBGVBI

    JIAWE]IM MG BONGOBGVBI YWBCBAI R ]GP]BE

    IVGI IAIMGCBAI MG ABGOABIQ FIQBAIQ

    Ewniv mhomg qg vgieb|h ei {va}bai< Jiawe}im mg abgoabiq fqbaiq

    ]b}weh mg ei {va}bai< Cgmbabhogq r Gvvhvgq

    [vhjgqhvgq mg {va}bai7> 9;

    70 91

    72 96

    :; =

    :9 9

    o T v% q ?

    Od

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    [i {vhfifbebmim mg goaho}viv ge cbqch o mg nviohq qgvbi cirhv/

    =/ Yw qwagmgvi qb ehq jvblhegq jwgqgo mg }icihq i{vgabifegq mbjgvgo}gq8

    ]hmhq ehq ziehvgq goaho}vimhq ahch co{ % ei cgmbi %g}a zivbivio

    7/ Go ge glgc{eh chq}vimh qg mgfi mg aho}iv ievgmgmhv mg :; jvblhegq {hv {wimh Qgvbizgo}ilhqh ahehaiv qheh 9;; jvblhegq go ge vgab{bgo}g% r mg gq}i ciogvi aieaweiv ge ocgvh mg

    jvblhegq go wo {wimh% aho}iomh ehq jvblhegq ywg ywgmio go ge vgab{bgo}g8

    Ge }bgc{h mg aho}imh qgvbi cgohq ri ywg qg goaho}vivi {hv qbc{eg mbjgvgoabi

    :/ywg qwagmgvi qb go ge aiqh io}gvbhv ahehaivi qheh% mbnichq% >7 jvblhegq go ge vgab{bgo}g8

    Ge }bgc{h mg aho}imh qgvbi cgohv

    >/Ei {iv}g mg gq}g gp{gvbcgo}h ywg gpbng cq {iabgoabi gq ge {vhagqh mg aho}iv/ [ivi

    mbq}vbfwbv gq}i }ivgi go}vg }vgq {gvqhoiq Awe mg eiq qwngvgoabiq {vh{homvi wq}gm8 [hvyw8

    i/ Aimi {iv}bab{io}g vgieb|ivi 11 1= gp}viaabhogq r awgo}i ehq ahvvgq{hombgo}gq jvblhegq/

    f/ Woh mg ehq {iv}bab{io}gq vgieb|i eiq 9;; gp}viaabhogq {gvh aimi {iv}bab{io}g awgo}i 11

    1= {wimhq/

    Cb qwngvgoabi qgvbi ei h{abo F ri ywg ie `ifgv qheh woh ywg ahli ehq {wimhq ifvi

    cgohq mgqzbiabo go ge ocgvh mg {wimhq/

    0/ Cgoabhog }vgq {hqbfegq `ga`hq ywg hfqgvzivio qb go zg| mg 9;; {wimhq gp}vilgvio

    9;;; {wimhq/

    /Ei cgmbi mg ehq {wimhq qgvi mbjgvgo}g

    /Ei nvijbai }gomvi wo ahc{hv}icbgo}h ciq gpia}h

    /@ifvi cgohq boagv}bmwcfvg go ge aho}gh mg jvblhegq

    2/ Awe gq ge {vhcgmbh ivb}c}bah mg eiq mgqzbiabhogq Od#co{8

    Ge vgqwe}imh mg gq}g aieaweh 2/1>

    9;/ Awe avgg Wm/ gq ei vi|o mg `ifgv mgjbobmh co{ go zg| mg }hciv qbc{egcgo}g ge{vhcgmbh mg eiq mgqzbiabhogq8

    Ei vi|o gq ywg ge ziehv co{ gq ciq {gywgh r jabe mg wqiv

    99/ Mgq{wq mg vgieb|iv ge gp{gvbcgo}h ahli Wm/ wo {wimh mg jvblhegq Yw {wgmg Wm/

    ijbvciv qhfvg ge ocgvh mg jvblhegq aho}gobmh go }ie {wimh (io}gq mg aho}iv"8

    Ywg gq}ivi go}vg ehq ziehvgq T=2%:9S

    96/ Cgoabhog Wm/ Ienwoi zgo}ili h mgqzgo}ili mg gc{egiv {ieeivgq go zg| mg jvblhegq go ge

    {vgqgo}g gp{gvbcgo}h/

    Ehq {ieeivgq qgvbi woi zgo}ili ri ywg ge ocgvh mg {ieeivgq i aho}iv qgvbi cgohq ywg go

    ehq jvblhegq% aho vgqwe}imhq mbjgvgo}gq

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    Hfqgvziabhogq

    Woi qwngvgoabi ywg mivi {ivi ei cglhvi mge gp{gvbcgo}h o 9 gq ywg }gonio fiq}io}g

    {iabgoabi go ge aho}gh mg ehq jvblhegq ri ywg qho 9;; {wimhq i aho}iv r }gogv eiq

    `gvvicbgo}iq ogagqivbiq {ivi ehq aeawehq ci}gc}bahq r eiq nvijbaiq

    Ahoaewqbhogq

    Qgi {hmbmh eegniv i ywg ehq vgqwe}imhq mg ywg aimi {wimh zivbi% goaho}viomh abgv}hq

    ziehvgq ywg ohq qbvzgo {ivi ge ioebqbq mge gp{gvbcgo}h % ge goawgo}vh mg abgv}hq ziehvgq

    ahch ge {vhcgmbh% ei mgqzbiabo ywg `iago {hqbfeg ge gq}wmbh cq jabe mge gp{gvbcgo}h/

    GP[GVBCGO]H O 6

    CGMBABHOGQ GO GE [IVIEGEG[[GMH [VH[INIABO MG EI BOAGV]BMWCFVG

    Hflg}bzhq< Ge hflg}bzh mge gp{gvbcgo}h gq ge wqh mg ehq ci}gvbiegq mg cgmbmi {ivi geaeaweh mg eiq mbcgoqbhogq mg awieywbgv qebmh% go ge gp{gvbcgo}h qgvbi aho wo

    {iviegeg{{gmh r ehq boq}vwcgo}hq i wqiv qgvbi wo zgvobgv h {bg mg vgr r woi vgnei

    cbebcg}vimi/

    [vhagmbcbgo}h4

    9/ Wqiv ei vgnei cbebcg}vimi {ivi ge aeaweh mg eiq mbcgoqbhogq mg {iviegeg{{gmh%

    ioh}iomh go ei }ifei aho qw vgq{ga}bzi boagv}bmwcfvg/

    6/ wqiv ge zgvobgv {ivi ge aeaweh mg eiq mbcgoqbhogq mge {iviegeg{{gmh r ioh}iv go ei

    }ifei aho qw vgq{ga}bzi boagv}bmwcfvg/

    ]ifei 6

    Aho ei vgnei Aho ge {bg mg vgr [gvago}ing mg boagv}bmwcfvg

    Aho ei vgnei Aho ge {bg mgvgr

    Eivnh i 16 cc $# ;/7cc 16/0> cc $#;/;67cc

    9/7:' ;/;>:'

    Ioa`h f 11cc 1=/6;cc 9/79' ;/;>1'

    Ie}h @ 96cc 96 cc =/9>' ;/6;0'

    ` > cc >/16cc >/9=' ;/1=6'

    M 9=cc 9=/6 cc 1/7>' ;/9>:'

    m : cc : cc 0/11' ;/=9>'

  • 7/23/2019 Laboratorio Fisica Mediciones y Errores FIQT

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    Aeawehq

  • 7/23/2019 Laboratorio Fisica Mediciones y Errores FIQT

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    ]d< }bgc{h go miv 9; hqabeiabhogq

    9/ Nvijbah mg ei jwoabo mbqavg}i t(]9% e9" 4(]6% e6" 4//4(]9;% e9;"s

    6/ Aieawei ei boagv}bmwcfvg j< ( T S "

    ;

    6;

    =;

    :;

    0;

    9;;

    ;/;;; ;/7;; 9/;;; 9/7;; 6/;;;

    ehonb}wmac

    {gvbhmh ](q"

    {gvbhmh zq

    ehonb}wm

    [h~gv ({gvbhmh

    zq ehonb}wm"

    D ed(ac" }d9 }d6 }d1 }d= }d7 ]d ]D6 J(}d" ed#j(}d" Ted#j(}d"S6

    9

    97 2%67 2%;0 2%=1 2%1: 2%19 ;%262 ;%0:6

    69%= #:%= =9

    66; 2%09 2%>: 2%09 2%02 9;%99 ;%200 ;%2>7

    6=%6 #=%6 90

    167 99%67 99%1= 99%=6 99%62 99%1= 9%911 9%601

    19%06 #:%0 =>

    =1; 96%;1 96%99 96%;2 96%97 96%=: 9%69> 9%=09

    1:%>6 #:%> =7

    717 96%71 96%06 96%=: 96%70 96%0: 9%6:7 9%:;;

    12%:2 #=%> 66

    :=; 91%:6 91%=7 91%12 91%=0 91%:9 9%179 9%067

    =7%6: #7%1 60

    >7; 9=%>: 9=%7= 9=%:9 9=%>6 9=%2= 9%=>9 6%9:7

    71%:2 #1%> 9=

    0:; 9:%69 9:%;2 9:%17 9:%=2 9:%:= 9%:1: 6%:>7

    ::%1= #:%1 =;

    2>; 9>%10 9>%=: 9>%6= 9>%12 9>%7= 9%>=; 1%;60

    >7%9; #7%9 6:

    9;0; 90%>: 90%:7 90%=> 90%1= 90%:1 9%07> 1%==0

    07%76 #7%7 1;

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    Qg {vhqgnwbv i vgieb|iv ei h{gviabo qgno ei jvcwei ahvvgq{hombgo}g aho ehq mi}hq mge

    awimvh

    J (}d"/7 11>7 7;:67

    6; 6/;;; =; =;; 0;; 0;;; 9:;;;;

    67 6/7;; :6/7 :67 97:6/7 97:67 12;:67

    1; 1/;;; 2; 2;; 6>;; 6>;;; 09;;;;

    17 1/7;; 966/7 9667 =60>/7 =60>7 97;;:67

    =; =/;;; 9:; 9:;; :=;; :=;;; 67:;;;;

    7; 7/;;; 67; 67;; 967;; 967;;; :67;;;;

    :; :/;;; 1:; 1:;; 69:;; 69:;;; 962:;;;;

    >; >/;;; =2; =2;; 1=1;; 1=1;;; 6=;9;;;;

    0; 0/;;; :=; :=;; 796;; 796;;; =;2:;;;;

  • 7/23/2019 Laboratorio Fisica Mediciones y Errores FIQT

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    Vggc{ei|iomh ehq ziehvgq go eiq jhvcweiq/

    =6/73i(9;" $f(=67" $a(661>7"

    661>/73i(=67"$f(661>7"$a(917:0>7"

    27;21>/73i(661>7"$f(917:0>7"$a(02:790>7"

    Goaho}viomh ehq ziehvg mg i%f%a r vggc{ei|iomh go ei jhvcwei qg hf}bgog ei gawiabo

    mg ilwq}g

    /i3

    /f3

    /a3

    N(]"3 i$f]$a]63("$("]$("]6

    Awgq}bhoivbh/[ivi mg}gvcboiv i% f% a qg gebnbgvho 1 {wo}hq/ [hv yw oh mhq8 h awi}vh8

    Aho mhq {wo}hq qg mg}gvcboi woi gawiabo {gvh oh cwr {vgabqi ri ywg qg iqbcbeivi i eh

    ywg gq woi vga}i aho = qg {wgmg mg}gvcboiv woi awvzi mg{gombgomh mg ehq {wo}hq ywg

    }hcgq% go icfhq aiqhq `ifvi wo gvvhv }io nviomg ahc{ivimh ie mg 1/

    0/{hmvi WM/ Gegnbv i% f% a mg ciogvi ywgj qgi cobci (iwoywg j oh {iqg {hv obonwohmg ehq {wo}hq mg ei jwoabo mbqavg}i"8 {wgmg gegnbv i% f% a mg ciogvi ywg j 3;8

    [ivi ywgj 3 ; ei jwoabo mgfg {iqiv {hv }hmhq ehq {wo}hq ywg }gogchq mg mi}h% mg

    ciogvi ywg gq bc{hqbfeg }icfbo }gogchq ywg qgno ei }ghvi ge c}hmh mg ehq cobchq

    awimvimhq ohq {vh{hvabhoi ei cobci jwoabo ywg qg goawgo}vg go}vg ehq {wo}hq ywg

    }gogchq mg mi}h mg ciogvi ywg ge i% f% a qg aieaweio mg{gombgomh mg ehq {wo}hq }hcimhq/

    2/ywg {wgmg ijbvcivqg% go ge {vgqgo}g gp{gvbcgo}h% aho vgq{ga}h ie ahgjbabgo}g n mg eijwoabo n (]"8

    Ehq ahgjbabgo}gq zivio qgno ehq {wo}hq }hcimhq r ywg gpbq}g woi awvzi ciq gpia}i {gvh

    mgfgchq }gogv ciq ahgjbabgo}gq {ivi {hmgv ehnviveh/

    9;/Awo}hq ahgjbabgo}gq mgfgvi }gogv ei jwoabo n ivi gq}iv qgnwvhq mgn 3;8

    [hv eh cgohq mgfgchq }gogv ahch 9; ahgjbabgo}gq {ivi }gogv ei qgnwvbmim mg ywg ei

    jwoabo {iqi gpia}icgo}g {hv }hmhq ehq {wo}hq mimh/

    99/ H{boi Wm/ Ywg% {hv glgc{eh wqiomh wo }vh|h mg `beh mg ahqgv r woi }wgvai% {wgmgvg{g}bv gq}hq gp{gvbcgo}hq go qw aiqi8

    Qb% qbnwbgomh ehq {iqhq ahvvgq{hombgo}gq

    96/ ]bgog Wm/ Bmgi mg awo}iq hqabeiabhogq {wgmg miv ge {omweh gc{egimh% aho ed

    39;;ac% io}gq mg mg}gogvqg8/

    Ahch ge {gomweh gq vgie r ifvbgomh woi vgqbq}goabi mge ibvg qg mg}gomvi ie {gvmgv }hmi ei

    gogvni ywg {hqgg vgq{ga}h ie {wo}h ciq filh

    91/ Hfqgvzg ywg ie qhe}iv ge {omweh gq cwr mbjabe gzb}iv ywg ei ciqi vh}g/ Chmbjbai }ie

    vh}iabo ge ziehv mge {gvbhmh8 Yw {vh{homvi Wm/ [ivi gebcboiv ei ab}imi vh}iabo8

    Qb {hvywg ie eegniv ie {wo}h ciq ie}h ifvi woi gogvni abo}bai mg ciq ywg qb jwgqg qhe}imh

    qbo vh}iabo% {ivi gebcboiv }ie vh}iabo ie chcgo}h mg mgliv ei {bgmvi eh qhe}ivi aho

    mgebaimg|i r i}omheh ciq {ivi `iagveh ciq ahc{ia}h

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    Ahoaewqbhogq