CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Two radioactive materials X1 and X2 have decay constants 11λ and λ respectively. If initially they have the same number of nuclei , then ratio of number of nuclei of X1 to X2 will be 1e2 after a time-

A
19λ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
110λ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
111λ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
15λ
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 15λ
At some instant time t, number of undecayed atoms exists is,

N1=N0e11λt and N2=N0eλt

It is given that,

N1N2=1e2

1e2=N0e11λtN0eλt

1e2=e11λteλt

e2=e(111)λt

Taking log on both sides, we get,

10λt=2

t=210λ=15λ

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, (D) is the correct answer.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Uses of Radioactive Substances
CHEMISTRY
Watch in App
Join BYJU'S Learning Program
CrossIcon