# The variation of the decay rate of two radioactive

Question:

The variation of the decay rate of two radioactive samples A and B with time is shown in the figure. Which of the following statements are true?

dN/dt P

B

A

(a) The decay constant of A is greater than that of B, hence A always decays faster than B

(b) The decay constant of B is greater than that of A but its decay rate is always smaller than that of A

(c) The decay constant of A is greater than that of B but it does not always decay faster than B

(d) The 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

Solution:

(c) The decay constant of A is greater than that of B but it does not always decay faster than B

(d) The 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