A radioactive nucleus decays by two different processes. half life for first process is 10, s and th

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13.Nuclei

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A radioactive nucleus decays by two different processes. The half life for the first process is $10\, s$ and that for the second is $100 s$. the effective half life of the nucleus is close to$.....sec$

A

$9$

B

$55$

C

$6$

D

$12$

(JEE MAIN-2020)

Solution

$\frac{1}{ T _{\text {eff }}}=\frac{1}{ T _{1}}+\frac{1}{ T _{2}}$

$T _{ eff }=\frac{ T _{1} T _{2}}{ T _{1}+ T _{2}}=\frac{1000}{110}=\frac{100}{11}=9.09$

$T _{ eff } \cong 9$

Standard 12

Physics

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