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The activity of a radioactive sample falls from 700 s - 1 to 500 s - 1  in 30 minutes. Its half life is close to

Option 1 -

66 m i n

Option 2 -

52 m i n

Option 3 -

62 m i n

Option 4 -

72 m i n

0 2 Views | Posted 3 months ago
Asked by Shiksha User

  • 1 Answer

  • A

    Answered by

    alok kumar singh | Contributor-Level 10

    3 months ago
    Correct Option - 3


    Detailed Solution:

    A = A 0 e - λ t

    500 = 700 e - λ t λ t = l n ? 7 5 l n ? 2 t 1 / 2 × 30 = l n ? 7 5 ? t 1 / 2 = l n ? 2 × 30 l n ? 7 5

    t 1 / 2 = 61.8 m i n ≈ 62 m i n

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