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Radioactivity

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6) If the observed counting rate of a radioactive sample is 7.4×104 counts per second, then the disintegration rate in Becquerel, assuming a counting efficiency of 20% will be (1 Becquerel = 2.703×10-11Curie)

(A) 3.7×104

(B) 3.7×105

(C) 4.4×105

(D) 3.7×106

Sol:

$Efficiency = \frac{Observed standard count rate (cps)}{Known standard Disintegration rate(dps)}$

$Disintegration Rate = \frac{Count Rate(cps)}{Efficiency}$


Efficiency = 20% =0.2

1 Becquerel = 1 disintegration per second

$Disintegration rate = \frac{7.4\times 10^4}{0.2}=3.7\times 10^4=3.7\times 10^5$


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