Which sample contains greater number of nuclei?a 5.00- μCi sample of Pu 240 (half-life 6560y)or a 4.45- μCi sample of Am 243 (half-life 7370y)
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a
Pu 240
b
Am 243
c
Equal in both
d
None of these
answer is C.
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Detailed Solution
The activity -dNdt=λN⇒N=-dNdtT1/2loge2Taking the ratio of this expression for Pu 240 to this same expression for Am 243.NPuNAm=-dNPudtT1/2Pu-dNAmdtT1/2Am=5μCi x 6560y4.45μCi x 7370y=1i.e., the two samples contains equal number of nuclei.