In radioactive transformation when a daughter element transforms at the same rate at which it is formed from the parent element that state is known as radioactive equilibrium e.g.
parent intermediate daughter
Example 1: disintegrates to give as the final product. How many alpha and beta particles are emitted during this process?
Solution: in this process change in at. Wt. =234 – 206 = 28 a.m.u. since by the emission of one -particle m. no. decreases by 4 units hence no. of emitted -particle = 28/4 = 7
If only -particles emit then the at. No. of the product should be 90 – 2 × 7 = 76.
But here the at. no. of the product is 82 that is due to the eimission of -particles and its no. is 82 – 76 = 6
Example 2: The activity of a radio isotope falls to 12.5% in 90 days. Compute the half life and decay constant of the radio isotope.
Example 3: Calculate the weight in gram of 1 curie and 1rd of
From eq. 3
Total no. of atoms in w gram
From eq. 1,
According to definition of curie
According to definition of Rutherford
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