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NEET-XII-Physics

46: The Nucleus

with Solutions - page 6
Qstn# iv-23-a Prvs-QstnNext-Qstn
  • #23-a
    What is the decay constant of the sample? (b) What is its half-life? (b) What is its half-life?
    Ans : Activity, A = A0e-λt
    Here, `` \lambda `` = Disintegration constant
    `` \therefore `` 200 = 500 × e-50×60×λ
    `` \Rightarrow \frac{2}{5}={e}^{-3000\lambda }``
    `` \Rightarrow \,\mathrm{\,In\,}\frac{2}{5}=-3000\lambda ``
    `` \Rightarrow \lambda =3.05\times {10}^{-4}{\,\mathrm{\,s\,}}^{-1}``
    `` `` (b) `` \,\mathrm{\,Half\,}-\,\mathrm{\,life\,},{T}_{1/2}=\frac{0.693}{\lambda }``
    `` =2272.13\,\mathrm{\,s\,}``
    `` =38\,\mathrm{\,min\,}``
    Page No 443: (b) `` \,\mathrm{\,Half\,}-\,\mathrm{\,life\,},{T}_{1/2}=\frac{0.693}{\lambda }``
    `` =2272.13\,\mathrm{\,s\,}``
    `` =38\,\mathrm{\,min\,}``
    Page No 443:
  • #23-b
    What is its half-life?
    Ans : `` \,\mathrm{\,Half\,}-\,\mathrm{\,life\,},{T}_{1/2}=\frac{0.693}{\lambda }``
    `` =2272.13\,\mathrm{\,s\,}``
    `` =38\,\mathrm{\,min\,}``
    Page No 443: