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Sebuah foton memiliki panjang gelombang 40Å menumbuk sebuah elektron dan arah foton menyimpang 60° dari semula. Tentukan panjang gelombang foton setelah tumbukan!

Sebuah foton memiliki panjang gelombang 40 Å menumbuk sebuah elektron dan arah foton menyimpang 60° dari semula. Tentukan panjang gelombang foton setelah tumbukan! 

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panjang gelombang foton setelah tumbukan adalah 4 , 00121 × 10 − 9 m .

panjang gelombang foton setelah tumbukan adalah Error converting from MathML to accessible text..

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Diketahui : Ditanya : Panjang gelombang foton setelah tumbukan Penyelesaian : Dengan menggunakan persamaan pergeseran Compton, maka: Jadi, panjang gelombang foton setelah tumbukan adalah 4 , 00121 × 10 − 9 m .

Diketahui :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row lambda equals cell 40 space text A end text equals 4 cross times 10 to the power of negative 9 end exponent space text m end text end cell row alpha equals cell 60 degree end cell row h equals cell 6 comma 6 cross times 10 to the power of negative 34 end exponent space text Js end text end cell row cell m subscript o end cell equals cell 9 comma 1 cross times 10 to the power of negative 31 end exponent space text kg end text end cell row c equals cell 3 cross times 10 to the power of 8 space text m/s end text end cell end table end stylebegin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row lambda equals cell 40 space A equals 4 cross times 10 to the power of negative 9 end exponent space straight m end cell row alpha equals cell 60 degree end cell row h equals cell 6 comma 625 cross times 10 to the power of negative 34 end exponent space Js end cell row cell m subscript o end cell equals cell 9 comma 1 cross times 10 to the power of negative 31 end exponent space kg end cell row c equals cell 3 cross times 10 to the power of 8 space straight m divided by straight s end cell end table end style  

Ditanya :

Panjang gelombang foton setelah tumbukan begin mathsize 14px style open parentheses lambda apostrophe close parentheses end style 

Penyelesaian :

Dengan menggunakan persamaan pergeseran Compton, maka:
begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell lambda apostrophe minus lambda end cell equals cell fraction numerator h over denominator m subscript o c end fraction left parenthesis 1 minus cos alpha right parenthesis end cell row cell lambda apostrophe minus left parenthesis 4 cross times 10 to the power of negative 9 end exponent right parenthesis end cell equals cell fraction numerator 6 comma 6 cross times 10 to the power of negative 34 end exponent over denominator left parenthesis 9 comma 1 cross times 10 to the power of negative 31 end exponent right parenthesis left parenthesis 3 cross times 10 to the power of 8 right parenthesis end fraction left parenthesis 1 minus cos 60 degree right parenthesis end cell row cell lambda apostrophe end cell equals cell left parenthesis 4 cross times 10 to the power of negative 9 end exponent right parenthesis plus fraction numerator 6 comma 6 cross times 10 to the power of negative 34 end exponent over denominator left parenthesis 9 comma 1 cross times 10 to the power of negative 31 end exponent right parenthesis left parenthesis 3 cross times 10 to the power of 8 right parenthesis end fraction left parenthesis 1 minus 1 half right parenthesis end cell row blank equals cell left parenthesis 4 cross times 10 to the power of negative 9 end exponent right parenthesis plus left parenthesis 0 comma 0012 cross times 10 to the power of negative 9 end exponent right parenthesis end cell row blank equals cell 4 comma 0012 cross times 10 to the power of negative 9 end exponent space text m end text end cell end table end stylebegin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell lambda apostrophe minus lambda end cell equals cell fraction numerator h over denominator m subscript o c end fraction left parenthesis 1 minus cos alpha right parenthesis end cell row cell lambda apostrophe minus left parenthesis 4 cross times 10 to the power of negative 9 end exponent right parenthesis end cell equals cell fraction numerator 6 comma 625 cross times 10 to the power of negative 34 end exponent over denominator left parenthesis 9 comma 1 cross times 10 to the power of negative 31 end exponent right parenthesis left parenthesis 3 cross times 10 to the power of 8 right parenthesis end fraction left parenthesis 1 minus cos space 60 degree right parenthesis end cell row cell lambda apostrophe end cell equals cell left parenthesis 4 cross times 10 to the power of negative 9 end exponent right parenthesis plus fraction numerator 6 comma 625 cross times 10 to the power of negative 34 end exponent over denominator left parenthesis 9 comma 1 cross times 10 to the power of negative 31 end exponent right parenthesis left parenthesis 3 cross times 10 to the power of 8 right parenthesis end fraction left parenthesis 1 minus 1 half right parenthesis end cell row blank equals cell left parenthesis 4 cross times 10 to the power of negative 9 end exponent right parenthesis plus left parenthesis 0 comma 00121 cross times 10 to the power of negative 9 end exponent right parenthesis end cell row blank equals cell 4 comma 00121 cross times 10 to the power of negative 9 end exponent space text m end text end cell end table end style

Jadi, panjang gelombang foton setelah tumbukan adalah Error converting from MathML to accessible text..

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