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N atoms of a radioactive element emit n ...

`N` atoms of a radioactive element emit `n` alpha particles per second. The half-life of tge element is.

A

`(n)/(N)s`

B

`(N)/(n)s`

C

`(0.693N)/(n)s`

D

`(0.693n)/(N) s`

Text Solution

Verified by Experts

The correct Answer is:
C
`(dN)/(dt)= - lamda N rArr n= - lamda N [" as " (dN)/(dt)= n]`
`therefore lamda = (-n)/(N)`
Half life `= (l n 2)/(|lamda|)= (0.693)/(n) sec`
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