1.

State the law of radioactivity and hence, show thatN=N_(0)e^(-lambda t).

Answer»

Solution :(a) `(dN)/( DT) = - lambda N`
`int_(N_0)^(N) (dN)/( N) = int_(0)^(t) -lambda dt`
`[log_(E)^(N) ]_(N_0)^(N) = - lambda [t]_(0)^(t)`
`log_(e) (N)/(N_0)=- lambda t`
`N=N_(0) e^(- lambda t)`
(b) (i) `""{:(22),(11):} Na to {:(22),(11):} Ne + e^(+) +v`
or, `{:(22),(11):} Na to {:(22),(11):} Xe + e^(+) + v`
Basic PROCESS
`p to n + e^(+) + v`
(II) Isobar.


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