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Which sample A or B shown in figure has ...

Which sample `A` or `B` shown in figure has shorter mean-life ?

A

`tau_(B) lt tau_(A)`

B

`tau_(B) gt tau_(A)`

C

`tau_(B) = tau_(A)`

D

Nothing can be concluded

Text Solution

Verified by Experts

The correct Answer is:
A
at `t=0`
`|(dN)/(dt)|_(A)=|(dN)/(dt)|_(B)`
but `|(d^(2)N)/(dt^(2))|_(B) gt |(d^(2)N)/(dt^(2))|_(A)`
`rArr lambda_(B) gt lambda_(A) rArrtau_(A) lt tau_(A)`
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