Pertanyaan

Dalam suatu percobaan difraksi elektron, digunakan tegangan pemercepat 200 kV. Tentukan panjang gelombang elektron tersebut.

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Habis dalam

Klaim

L. Dhita

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Energi kinetikpada elektron adalah untuk menghitung panjang gelombang elektron hitung p meggunakan tegangan V yang sudah diketahui

Energi kinetik pada elektron adalah

$begin mathsize 14px style bold italic E subscript bold k bold space bold equals bold space fraction numerator bold p to the power of bold 2 over denominator bold 2 bold m end fraction bold space bold equals bold space bold italic e bold italic V end style$

untuk menghitung panjang gelombang elektron hitung p meggunakan tegangan V yang sudah diketahui

$begin mathsize 14px style bold italic lambda bold space bold equals bold space bold h over bold p bold space bold equals bold space fraction numerator bold h over denominator square root of bold 2 bold m bold e bold V end root end fraction end style$

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank lambda end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell h over p end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator h over denominator square root of 2 m e V end root end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank lambda end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 6.63 cross times 10 to the power of negative 34 end exponent straight J times straight s blank over denominator square root of 2 left parenthesis 9.1 blank cross times blank 10 to the power of negative 31 end exponent blank kg right parenthesis left parenthesis 1 , 60 blank cross times blank 10 to the power of negative 19 end exponent straight C blank right parenthesis left parenthesis 200 blank cross times blank 10 cubed straight V right parenthesis end root end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold italic lambda end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold space end table table attributes columnalign right center left columnspacing 0px end attributes row blank bold equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold 76 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold cross times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold 10 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of bold minus bold 12 end exponent end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold m end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold space end table$