Q.

In the above radioactive decay is stable nucleus. Then :

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A

rate of decay of will first increase and then decrease

B

number of nuclei of will first increase and then decrease

C

if , then activity of will always be higher than activity of

D

if , then number of nucleus of will always be less than number of nucleus of .

Solution:

Rate of decay of keeps on decreasing continuously because concentration of decreases with time is false.
Initial rate of production of is and rate of decay is zero. With time, as the number of atom increase, the rate of its production decrease and its rate of decay increases. Thus the number of nuclei of will first increase and then decrease.
(B) is the correct choice
The initial activity of is zero whereas initial activity of is (C) is false.
As time and (D) is false

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