0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

Two radioactive substances A and B have decay constants 5λ and λ respectively. At t=0 they have the same number of nuclei. The ratio of number of nuclei of A to those of B will be (1e)2 after a time interval
  1. 14λ
  2. 4λ
  3. 2λ
  4. 12λ

A
4λ
B
12λ
C
14λ
D
2λ
Solution
Verified by Toppr

The correct option is D 12λ
Decay equation is given by N=Noeλt
Where, λ is Decay constant; N is number of atom at time t
So, number of atom of A is given by, NA=Noe5λt
And that of B are given by, NB=Noeλt
Taking ration we get: NANB=e4λt
Given that: NANB=e2
So, this will happen when, t=12λ

Was this answer helpful?
22
Similar Questions
Q1
Two radioactive substances A and B have decay constants 5λ and λ respectively. At t=0 they have the same number of nuclei. The ratio of number of nuclei of A to those of B will be (1e)2 after a time interval
View Solution
Q2
Two unstable nuclei A and B at t=0, have decay constants 5λ and λ respectively. At t=t0 they have same number of nuclei. the ratio of awed nuclei respectively at (1/e)2 is
View Solution
Q3
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 of 'A' will be 1e?
View Solution
Q4
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:
View Solution
Q5
Radioactive material 'A' has decay constant '8' and material 'B' has decay constant ''. Initially they have same number of nuclei. After what time, the ratio of number of nuclei of material 'B' to that 'A' will be 1e?
View Solution