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The half life of radium is 1620 years and its atomic weight is 226 kgm per kilomol. The number of atoms that will decay from its 1 gm sample per second will be

  1. 3.61 cross times 1 0 to the power of 10 end exponent    
  2. 3.6 cross times 1 0 to the power of 12 end exponent    
  3. 3.11 cross times 1 0 to the power of 15 end exponent    
  4. 31.1 cross times 1 0 to the power of 15 end exponent    

The correct answer is: 3.61 cross times 1 0 to the power of 10 end exponent


    fraction numerator d N over denominator d t end fraction equals lambda N semicolon lambda equals fraction numerator 0.6931 over denominator t subscript 12 end subscript end fraction equals fraction numerator 0.6931 over denominator 1620 cross times 365 cross times 24 cross times 60 cross times 60 end fraction comma
    N equals fraction numerator 6.023 cross times 1 0 to the power of 23 end exponent over denominator 226 end fraction
    fraction numerator 1 over denominator 2 end fraction M v to the power of 2 end exponent equals q V.

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