JEE Advanced 2021 Physics question
A heavy nucleus Q of half-life 20 minutes undergoes alpha-decay with probability of 60% and beta-decay with probability of 40%. Initially, the number of Q nuclei is 1000. The number of alpha-decays of Q in the first one hour is
Answer: (D)
Solution
One hour half-lives, so the number of nuclei left is and the number that decay is . Each decay is an alpha decay with probability 0.6,
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