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Pertanyaan

Hitung panjang gelombang de Broglie dari sebuah proton yang mempunyai energi kinetik 1 MeV!spaceMassa proton begin mathsize 14px style 1 comma 67 cross times 10 to the power of negative 27 end exponent space kg end style.

Y. Maghfirah

Master Teacher

Jawaban terverifikasi

Jawaban

panjang gelombang de Broglie proton tersebut adalah 2 comma 9 cross times 10 to the power of negative 14 end exponent space straight m.

Pembahasan

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

Dengan

h equals 6 comma 63 cross times 10 to the power of negative 34 end exponent space straight J. straight s 1 space eV equals 1 comma 6 cross times 10 to the power of negative 19 end exponent space straight J 1 space MeV equals 1 comma 6 cross times 10 to the power of negative 13 end exponent space straight J 

Sehingga;

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 E K end root end fraction end cell row blank equals cell fraction numerator 6 comma 63 cross times 10 to the power of negative 34 end exponent over denominator square root of 2 cross times 1 comma 67 cross times 10 to the power of negative 27 end exponent cross times 1 comma 6 cross times 10 to the power of negative 13 end exponent end root end fraction end cell row blank equals cell fraction numerator 6 comma 63 cross times 10 to the power of negative 34 end exponent over denominator square root of 5 comma 334 cross times 10 to the power of negative 40 end exponent end root end fraction end cell row blank equals cell fraction numerator 6 comma 63 cross times 10 to the power of negative 34 end exponent over denominator 2 comma 3 cross times 10 to the power of negative 20 end exponent end fraction end cell row blank equals cell 2 comma 9 cross times 10 to the power of negative 14 end exponent space straight m end cell end table  

Dengan demikian, panjang gelombang de Broglie proton tersebut adalah 2 comma 9 cross times 10 to the power of negative 14 end exponent space straight m.

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