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First Order Radioactive Decay
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Two radioactive materials A and B have d
Question
Two radioactive materials
$A$
and
$B$
have decay constants
$10λ$
and
$λ$
, respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of
$A$
to that of
$B$
will be
$1/e$
after a time:
A
$10λ11 $
B
$9λ1 $
C
$10λ1 $
D
$11λ11 $
Medium
JEE Mains
Open in App
Updated on : 2022-09-05
Solution
Verified by Toppr
Correct option is B)
$N_{1}=N_{0}e_{−10λt}$
$N_{2}=N_{0}e_{−λt}$
$e1 =N_{2}N_{1} =e_{−9λt}$
$⇒9λt=1$
$t=9λ1 $
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