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The count rate of a radioactive sample w...

The count rate of a radioactive sample was 1600 count/s at t=0 and 100 counts at t=8 s . Select the correct alternatives

A

its count rate was `400 count/s` at t = 2s

B

Half life of the sample is 2.88 s

C

Mean life of the sample is 4 s

D

Its count rate was 200 count/s at t = 6 s

Text Solution

Verified by Experts

The correct Answer is:
A
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Knowledge Check

  • The initial count rate for a radioactive source was found to be 1600 count/sec.and t = 8 sec this rate was 100 count/sec. What was the count rate at t = 6 [in counts/sec]-

    A
    `4000`
    B
    `300`
    C
    `200`
    D
    `150`
  • The half life of a radioactive substance is T_(0) . At t=0 ,the number of active nuclei are N_(0) . Select the correct alternative.

    A
    The number of nuclei decayed in time internal `0-t` is `N_(0)e^(-lambda t)`
    B
    The number of nuclei decays in time interval `0-t` is `N_(0) (1-e^(-lambda t))`
    C
    The probability that a radioactive nuclei does not decay in interval `0-t` is `e^(-lambdat)`
    D
    The probability that a radioactive nuclei does not decay in interval `1-e^(-lambdat)`
  • The activity of a radioactive sample is measured as 9750 counts per minute at t = 0 and as 975 counts per minute at t = 5 minutes. The decay constant is approximately

    A
    `0.230` per minute
    B
    `0.461` per minute
    C
    `0.691` per minute
    D
    `0.922` per minute
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