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  1. The decay constant (λ) and the half-life (T) of a radioactive isotope are related as
    1. λ =
      loge2
      T
    2. λ =
      1
      loge2.T
    3. λ =
      T
      loge2
    4. λ =
      2
      T
Correct Option: A

t =
1
log
a
λa - x

When t = T,
x =
a
2

T =
1
log
a
=
1
loge2
λa -
a
λ
2

⇒ λ =
1
loge2
T



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