Physics-
General
Easy

Question

An atomic nucleus 90 to the power of T h to the power of 232 end exponent end exponent emits several alpha and beta radiations and finally reduces to 80 to the power of P b to the power of 208 end exponent end exponent. It must have emitted

  1. 4 alpha and 2 beta    
  2. 6 alpha and 4 beta    
  3. 8 alpha and 24 beta    
  4. 4 alpha and 16 beta    

The correct answer is: 6 alpha and 4 beta


    n subscript alpha end subscript equals fraction numerator A minus A ´ over denominator 4 end fraction equals fraction numerator 232 minus 208 over denominator 4 end fraction equals 6
    n subscript beta end subscript equals 2 n subscript alpha end subscript minus Z plus Z ´ equals 2 cross times 6 minus 90 plus 82 equals 4

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