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Setelah 9 hari zat radioaktif meluruh sebanyak  ma...

Setelah 9 hari zat radioaktif meluruh sebanyak begin mathsize 14px style 7 over 8 end style massa mula-mula. Konstanta peluruhannya adalah... 

  1. begin mathsize 14px style 0 comma 023 space hari to the power of negative 1 end exponent end style 

  2. begin mathsize 14px style 0 comma 231 space hari to the power of negative 1 end exponent end style 

  3. begin mathsize 14px style 0 comma 347 space hari to the power of negative 1 end exponent end style 

  4. begin mathsize 14px style 0 comma 693 space hari to the power of negative sign 1 end exponent end style 

  5. begin mathsize 14px style 2 comma 310 space hari to the power of negative 1 end exponent end style 

Jawaban:

Diketahui:
begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row t equals cell 9 space hari end cell row cell m subscript t over m subscript o end cell equals cell 1 minus 7 over 8 equals 1 over 8 end cell end table end style 

Ditanya:
begin mathsize 14px style lambda equals ? end style 

Jawab

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell m subscript t over m subscript o end cell equals cell open parentheses 1 half close parentheses to the power of t over T end exponent end cell row cell 1 over 8 end cell equals cell open parentheses 1 half close parentheses to the power of 9 over T end exponent end cell row cell open parentheses 1 half close parentheses cubed end cell equals cell open parentheses 1 half close parentheses to the power of 9 over T end exponent end cell row cell 3 T end cell equals 9 row T equals cell 3 space hari end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row lambda equals cell fraction numerator 0 comma 693 over denominator T end fraction end cell row blank equals cell fraction numerator 0 comma 693 over denominator 3 end fraction end cell row blank equals cell 0 comma 231 space hari to the power of negative 1 end exponent end cell end table end style 

Jadi, jawaban yang benar adalah B

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