Modern Physics 3 Question 3
3. In given time , Activity of two radioactive substances and are equal. After time , the ratio of their activities decreases according to . If the half life of is , the half-life of will be
(Main 2019, 9 Jan II)
(a)
(b)
(c)
(d)
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Solution:
- Activity of radioactive material is given as
where,
For substance
For substance
At
The half-life is given by
So, for substance
According to the given question,
at time
Using Eqs. (i), (ii) and (iii)
The half-life of substance