Ques. 1JEE Main 2025, 23 January (Morning Shift)
A radioactive nucleus n2 has 3 times the decay constant as compared to the decay constant of another radioactive nucleus n1. If initial number of both nuclei are the same, what is the ratio of number of nuclei of n2 to the number of nuclei of n1, after one half-life of n1 ?
- 1/4
- 1/8
- 4
- 8
Answer
(1) 1/4
Solution
N=N0e- t. In one half-life of n1: n1 halves; n2 ( 2=3 1) goes through 3 half-lives.
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N1= N02, N2= N023= N08
N2N1= 1/81/2= 14
Answer: (1)