Physics-
General
Easy

Question

Two radioactive sources A and B of half lives 1h and 2h respectively initially contain the same number of radioactive atoms. At the end of two hours, their rates of disintegration are in the ratio of

  1. 1 colon 4    
  2. 1 colon 3    
  3. 1 colon 2    
  4. 1 colon 1    

The correct answer is: 1 colon 2


    Rate of disintegration proportional to Number of atoms left
    In case of source A comma blank fraction numerator N over denominator N subscript 0 end subscript end fraction equals open parentheses fraction numerator 1 over denominator 2 end fraction close parentheses to the power of 2 end exponent equals fraction numerator 1 over denominator 4 end fraction
    In case of source B comma blank fraction numerator N over denominator N subscript 0 end subscript end fraction equals open parentheses fraction numerator 1 over denominator 2 end fraction close parentheses to the power of 1 end exponent equals fraction numerator 1 over denominator 2 end fraction
    therefore blank fraction numerator R subscript A end subscript over denominator R subscript B end subscript end fraction equals fraction numerator N subscript 0 end subscript divided by 4 over denominator N subscript 0 end subscript divided by 2 end fraction equals fraction numerator 1 over denominator 2 end fraction

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