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What is the half – life period of a radioactive material if its activity drops to 1/16th of its initial value in 30 years?

Option 1 -

9.5 years

Option 2 -

8.5 years

Option 3 -

7.5 years

Option 4 -

10.5 years

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

  • 2 Answers

  • A

    Answered by

    alok kumar singh | Contributor-Level 10

    2 months ago
    Correct Option - 3


    Detailed Solution:

    A = A 0 1 6 = A 0 2 3 0 / t 1 / 2 ⇒ 2 4 = 2 3 0 / t 1 / 2

    ⇒ A 0 1 6 = A 0 2 3 0 / t 1 / 2 ⇒ 2 4 = 2 3 0 / t 1 / 2

    ⇒ t 1 / 2 = 3 0 4 = 7 . 5 years

  • A

    Answered by

    alok kumar singh | Contributor-Level 10

    2 months ago
    Correct Option - 3


    Detailed Solution:

    A = A 0 1 6 = A 0 2 3 0 / t 1 / 2 ? 2 4 = 2 3 0 / t 1 / 2

    ? A 0 1 6 = A 0 2 3 0 / t 1 / 2 ? 2 4 = 2 3 0 / t 1 / 2

    ? t 1 / 2 = 3 0 4 = 7 . 5 years

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