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(7)/(8)th of nuclei have been disintegra...

`(7)/(8)th` of nuclei have been disintegrated in 2 minutes after fresh sample was prepared. The half life of the sample is

A

30 seconds

B

1 minute

C

40 seconds

D

20 seconds

Text Solution

Verified by Experts

The correct Answer is:
C

2 minutes=3half life
1 half life `=(120)/(3)` =40sec
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Knowledge Check

  • 7/8th of the active nuclei present in a radioactive sample has decayed in 8 s. The half-life of the sample is

    A
    (a) 2s
    B
    (b) 1s
    C
    (c) 7s
    D
    (d) 8/3 s
  • For a radioactive sample, 15/16 th part decays in 20 minutes. The half-life of the sample is

    A
    4 minutes
    B
    5 minutes
    C
    6 minutes
    D
    7 minutes
  • In a sample of radioactive material , what fraction of the initial number of active nuclei will remain undisintegrated after half of the half life of the sample ?

    A
    `1/4`
    B
    `1/(2sqrt2)`
    C
    `1/sqrt2`
    D
    `sqrt2-1`
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