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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