Radioactive material 'A' has decay constant '8λ' and material 'B' has decay constant 'λ'. Initially they have same number of nuclei. After what time, the ratio of number of nuclei of material 'B' to that 'A' will be e?
19λ
1λ
17λ
18λ
A
19λ
B
1λ
C
17λ
D
18λ
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Solution
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NA=NAoe(−8λ)t
NB=NBoe−λt
NAo=NB0
⇒NBNA=e
⇒e−λte−8λt=e1
⇒e7λt=e1
7λt=1
t=17λ
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