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N atoms of a radioactive element emit n ...

N atoms of a radioactive element emit n number of `alpha`-particles per second. Mean life of the element in seconds, is

A

`(n)/(N)sec`.

B

`1.44 (n)/(N) sec`.

C

`0.69 (n)/(N)sec`.

D

`0.69 (N)/(n)sec`.

Text Solution

Verified by Experts

The correct Answer is:
D
`n=lambdaN`
`=lambda=(n)/(N)`
`:. t_(1//2)=(0.69)/(lambda)=(0.69N)/(n)`
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