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Question
The variation of decay rate of two radioactive samples A and B with time is shown in figure.
Which of the following statements are true?
- Decay constant of A is greater than that of B, hence A always decays faster than B.
- Decay constant of B is greater than that of A but its decay rate is always smaller than that of A.
- Decay constant of A is greater than that of B but it does not always decay faster than B.
- Decay constant of B is smaller than that of A but still its decay rate becomes equal to that of A at a later instant.
Options
a and b
a and c
b and d
c and d
Solution
c and d
Explanation:
It can be observed from the figure that the slope of curve A is greater than that of curve B, it means the rate of decay is faster for A than that of B.
According to Rutherford and Soddy's law for radioactive decay `-((dN)/(dt)) ∝ λ`, where decay. Hence at point P, the rate of decay for both A and B is the same.
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