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At a given time there are 25% undecayed nuclei in a sample. After 10 seconds number of undecayed nuclei reduces to 12.5%. Then mean life of the nuclei will be about
  • a)
    22 sec
  • b)
    10 sec
  • c)
    12 sec
  • d)
    15 sec
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
At a given time there are 25% undecayed nuclei in a sample. After 10 s...
Half-life of radioactive sample, i.e., the time in which the number of undecayed nuclei becomes half (T) is 10 s.
Mean life, τ=T/loge​2=10s/0.693=1.443×10=14.43s ≈ 15s
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Most Upvoted Answer
At a given time there are 25% undecayed nuclei in a sample. After 10 s...
Half-life of radioactive sample, i.e., the time in which the number of undecayed nuclei becomes half (T) is 10 s.
Mean life, τ=T/loge​2=10s/0.693=1.443×10=14.43s ≈ 15s
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Community Answer
At a given time there are 25% undecayed nuclei in a sample. After 10 s...
Ac to question it can b concludedthat half life is 10 sec, from which rate constant can b calc . As ln2/half time . 1/rate constant is mean life.
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At a given time there are 25% undecayed nuclei in a sample. After 10 seconds number of undecayed nuclei reduces to 12.5%. Then mean life of the nuclei will be abouta)22 secb)10 secc)12 secd)15 secCorrect answer is option 'D'. Can you explain this answer?
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