Calculate the time interval between 33% decay and 67% decay if half-life of a substance is 20 minutes.
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a
40 min.
b
20 min
c
60 min.
d
13 min
answer is B.
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Detailed Solution
In time t1, 33% decays , means 67% is present no of nucleus=2N03 In time t2, 67% decays , means 33% is present no of nucleus=N03 T1/2=20min ⇒ln2λ=20min ⇒λ=ln220(min)t=1λlnNoN ⇒t1=1λlnNo2N03=1λln32 & t2=1λlnNoN03=1λln3 Thus , t2−t1=1λln3-ln32=1λln2=20min