wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The radioactive sources A and B of half lives of 2 hr and 4 hr respectively, initially contain the same number of radioactive atoms. At the end of 2 hours, their rates of disintegration are in the ratio :

A
4:1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2:1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2:1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
1:1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 2:1
Rate of disintegration of a Radio active sample
dNdt=λN0eλt
where λ=Decayconstant=ln2t1/2
For radio active source A :-
[dNdt]A=[ln22]N0eln22[2]
[dNdt]A=[N0ln24] ...(1)
For radio-active source B :-
[dNdt]B=[ln24]N0eln24[2]
[dNdt]B=[N0ln24][12] ...(2)
From (1) and (2) :-
[dNdt]A[dNdt]B=21
Hence option (C) is correct.

flag
Suggest Corrections
thumbs-up
5
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Law of Radioactivity
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon