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Suatu elektron dipercepat oleh potensial listrik sebesar 20 kilovolt. Hitung panjang gelombang de Broglienya!

Pertanyaan

Suatu elektron dipercepat oleh potensial listrik sebesar 20 kilovolt. Hitung panjang gelombang de Broglienya!undefined 

Pembahasan Soal:

Soal ini dapat dikerjakan menggunakan persamaan panjang gelombang de Broglie.

Dimana;

begin mathsize 14px style h equals 6 comma 625 cross times 10 to the power of negative 34 end exponent space Js q subscript e italic equals 1 comma 6 cross times 10 to the power of negative 19 end exponent space straight C m subscript e equals 9 comma 1 cross times 10 to the power of negative 31 end exponent space kg end style 

Sehingga;

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 q subscript e V end root end fraction end cell row blank equals cell fraction numerator 6 comma 625 cross times 10 to the power of negative 34 end exponent over denominator square root of 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 20 cross times 10 cubed end root end fraction end cell row blank equals cell fraction numerator 6 comma 625 cross times 10 to the power of negative 34 end exponent over denominator square root of 0 comma 5824 cross times 10 to the power of negative 44 end exponent end root end fraction end cell row blank equals cell fraction numerator 6 comma 625 cross times 10 to the power of negative 34 end exponent over denominator 0 comma 763 cross times 10 to the power of negative 22 end exponent end fraction end cell row blank equals cell 8 comma 67 cross times 10 to the power of negative 12 end exponent space straight m end cell end table end style 

Dengan demikian, panjang gelombang elektron tersebut adalah begin mathsize 14px style 8 comma 67 cross times 10 to the power of negative 12 end exponent space straight m end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 Maret 2021

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