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Upon irradiating californium with neutro...

Upon irradiating californium with neutrons , a scientist discovered a new nuclide having mass number of 250 and a half-life of 30 min . 90 min after the irradiation, the observed radioactivity due to nuclide was 100 dis/min . If `3.46 xx 10^(x)` atoms of the nucleide were present initially . Then x is ..........

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`A_(0) overset(30 "min" ) (to) (A_(0))/(2) overset(30 "min")(to) (A_0)/(4) overset(30 "min" )(to) (A_0)/(8) = 100 implies A_(0) = 800` dpm
`A = lambda N , 800 = (0.693)/(30 ) xx N_(t)` , where `N_(t) = (800 xx 30)/(0.693) = 3.46 xx 10^(4)` atoms
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