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SBMPTN 2014 Kode 514 Sebuah elektron energi totalnya n kali diamnya. Jika massa diam elektron adalah m 0, konstanta planck adalah h dan kelajuan cahaya di ruang hampa adalah c, maka panjang gelombang de broglie elektron tersebut adalah ....

SBMPTN 2014 Kode 514

Sebuah elektron energi totalnya n kali diamnya. Jika massa diam elektron adalah m0, konstanta planck adalah h dan kelajuan cahaya di ruang hampa adalah c, maka panjang gelombang de broglie elektron tersebut adalah ....

  1. begin mathsize 14px style fraction numerator straight h square root of straight n squared minus straight space 1 end root over denominator straight m subscript 0 straight c end fraction end style

  2. begin mathsize 14px style fraction numerator straight h square root of straight n squared plus 1 end root over denominator straight m subscript 0 straight c end fraction end style

  3. begin mathsize 14px style fraction numerator straight h over denominator straight n straight space straight m subscript 0 straight c end fraction end style

  4. begin mathsize 14px style fraction numerator straight h over denominator square root of straight n squared minus 1 end root    straight m subscript 0 straight c end fraction end style

  5. begin mathsize 14px style fraction numerator straight h over denominator square root of straight n squared plus 1 end root    straight m subscript 0 straight c end fraction end style


     

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Y. Maghfirah

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begin mathsize 14px style straight E subscript straight T equals nE subscript 0 equals nm subscript 0 straight c subscript 0 superscript 2 straight E subscript straight T superscript 2 equals open parentheses straight m subscript 0 straight c squared close parentheses squared plus straight p squared straight c squared left parenthesis nm subscript 0 straight c squared right parenthesis squared equals straight m subscript 0 superscript 2 straight c to the power of 4 plus straight p squared straight c squared straight p squared straight c squared equals straight n squared straight m subscript 0 superscript 2 straight c to the power of 4 minus straight m subscript 0 straight c to the power of 4 straight p squared straight c squared equals left parenthesis straight n squared minus 1 right parenthesis straight space straight m subscript 0 superscript 2 straight c to the power of 4 straight p squared equals open parentheses straight n squared minus 1 close parentheses straight space straight m subscript 0 superscript 2 straight c squared straight p equals straight m subscript 0 straight c square root of open parentheses straight n squared minus 1 close parentheses end root straight lambda equals straight h over straight p straight lambda equals fraction numerator straight h over denominator straight m subscript 0 straight c square root of open parentheses straight n squared minus 1 close parentheses end root end fraction end style

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