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Question

For thorium  A =232, Z=90 at the end of some radioactive disintegration we obtain an isotope of lead with A=208 and  Z=82, then the number of emitted alpha text  and  end text beta particles are

  1. alpha equals 4 comma beta equals 6
  2. alpha equals 5 comma beta equals 5
  3. alpha equals 6 comma beta equals 4
  4. alpha equals 6 comma beta equals 6

The correct answer is: alpha equals 6 comma beta equals 4


    Given 90 to the power of Th to the power of 232 end exponent not stretchy rightwards arrow 82 to the power of Pb to the power of 208 end exponent text  (i)  end text Change in mass number equals 232 minus 208 equals 24 No. of alpha minus particles emitted equals 24 over 4 equals 6 Now. Eq.(i) becomes 90 to the power of Th to the power of 232 end exponent not stretchy ⟶ with negative 6 alpha on top 78 to the power of straight A to the power of 208 end exponent not stretchy ⟶ with negative straight n beta on top 82 to the power of Pb to the power of 208 end exponent

    Further change in atomic number is 82 minus 78 equals 4

    It means atomic no. 78 is increased by 4 to make the atomic no 82.

    Therefore 6alpha-particles and 4beta minus particles will be emitted.

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