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A radioactive nucleus can decay by two d...

A radioactive nucleus can decay by two different processes. The half lives of the first and second decay processes are `5 xx 10^(3)` and `10^(5)` years respectively, Then, the effective half-life of the nucleus is,

A

`105 xx 10^(5)`

B

4762 yrs

C

104 yrs

D

47.6 yrs

Text Solution

Verified by Experts

The correct Answer is:
B
`T_(1) = 5 xx 10^(3)` and `T_(2) = 10^(5)`
Effective Half-life of the nucleus is,
`T=T_(1)T_(2)/(T_(1) + T_(2))``:. T =4762 yrs`
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Knowledge Check

  • A radioactive nucleus can decay in two different processes with half life 0.7 hr and 0.3 hr . The

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    B
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  • The first and second dissociation constants of an acid H_(2)A are 10^(-5) and 5 xx 10^(-10) respectively . Then overall dissociation constant of the acid is

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