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The half-life (T) and the disintegration...

The half-life `(T)` and the disintegration constant `(lamda)` of a radioactive substance are related as

A

`lamdaT _(1//2)`

B

`lamdaT_(1//2)= 0.693`

C

`(T_(1//2))/(lamda)=0.693`

D

`(lamda)/(T_(1//2))=0.693`

Text Solution

Verified by Experts

The correct Answer is:
B
We have, N= `N_(0)e^(-lamda)`
`(N_(0))/(2)=N_(0)e^(-lamdaT1//2)implies2=e^(lamdaT1//2)`
By taking log both the side,
log `2= lamdaT_(1//2)`
`lamdaT_(1//2)=0.693`
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