Physics-
General
Easy

Question

The mean lives of a radioactive substance are 1620 years and 405 years for alpha -emission and beta -emission respectively. The time during which three fourth of a sample will decay if it is decaying both by alpha -emission and beta -emission simultaneously.

  1. 449 years    
  2. 349 years    
  3. 249 years    
  4. 149 years    

The correct answer is: 449 years


    Total decay constant is fraction numerator 1 over denominator 1620 end fraction plus fraction numerator 1 over denominator 405 end fraction equals fraction numerator 1 over denominator 324 end fraction 40 3 to the power of negative 1 end exponent
    fraction numerator N o over denominator 4 end fraction equals N subscript 0 end subscript e to the power of negative lambda t end exponent

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