Berapa tegangan suatu pemercepat elektron yang menghasilkan elektron dengan panjang gelombang de Broglie ?

Pertanyaan

Berapa tegangan suatu pemercepat elektron yang menghasilkan elektron dengan panjang gelombang de Broglie $begin mathsize 14px style 0 comma 2 space straight Å end style$ ?

Pembahasan Soal:

Soal ini dapat dikerjakan menggunakan persamaan panjang gelombang partikel de Broglie. Dengan,

$begin mathsize 14px style h equals 6 comma 63 cross times 10 to the power of negative 34 end exponent space Js m subscript e equals 9 comma 1 cross times 10 to the power of negative 31 end exponent space kg q subscript e equals 1 comma 6 cross times 10 to the power of negative 19 end exponent space straight C end style$

Maka;

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row lambda equals cell h over p end cell row blank equals cell fraction numerator h over denominator square root of 2 m subscript e q subscript e V end root end fraction end cell row cell square root of 2 m subscript e q subscript e V end root end cell equals cell h over lambda end cell row cell 2 m subscript e q subscript e V end cell equals cell open parentheses h over lambda close parentheses squared end cell row V equals cell fraction numerator open parentheses h over lambda close parentheses squared over denominator 2 m subscript e q subscript e end fraction end cell row V equals cell fraction numerator h squared over denominator 2 m subscript e q subscript e lambda squared end fraction end cell row blank equals cell fraction numerator open parentheses 6 comma 63 cross times 10 to the power of negative 34 end exponent close parentheses squared over denominator 2 cross times 9 comma 1 cross times 10 to the power of negative 31 end exponent cross times 1 comma 6 cross times 10 to the power of negative 19 end exponent cross times open parentheses 0 comma 2 cross times 10 to the power of negative 10 end exponent close parentheses squared end fraction end cell row blank equals cell fraction numerator 43 comma 9569 cross times 10 to the power of negative 68 end exponent over denominator 1 comma 1648 cross times 10 to the power of negative 70 end exponent end fraction end cell row blank equals cell 37 comma 7 cross times 10 squared space straight V end cell row blank equals cell 3 comma 77 space kV end cell end table end style$

Dengan demikian, tegangan untuk mempercepat elektron tersebut sebesar 3,77 kV.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 Maret 2021

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