In a given sample, at some instant, the rate of disintegration of radioactive element is 8000 disintegrations per second. At this instant, the number of undisintegrated nuclei of this element is 8*10⁷. Find the decay constant and half life of this element.[Ans: λ=10⁻⁴ s⁻¹, τ^1/2= 6390 s]
Answers
Give N0 a chance to be the underlying number of cores in both X1 and X2.
Give N1 a chance to be the quantity of cores in X1 and N2 be the quantity of cores in X2 now.
At that point N1 = N0 e– 10λt N2 = N0 e– λt We have to discover N1/N2.
Isolating the over two conditions we get, N1/N2 = e– 9λt
This proportion is given to be 1/e and we have to compute the time't' all things considered. e– 9λt = 1/e. => 9λt = 1, or t = 1/9λ.
This gives (D) as the right alternative.
Explanation:
Give NO a chance to be the underlying number of cores in both X1 and X2.
Give N1 a chance to be the quantity of cores in X1 and N2 be the quantity of cores in X2 now.
At that point N1 = NO e- 10λt N2 = NO e- λt We have to discover N1/N2.
Isolating the over two conditions we get, N1/N2 =
e- 9λt
This proportion is given to be 1/e and we have to compute the time't' all things considered. e- 9λt= 1/e. => 9λt=1, or t = 1/9λ.
This gives (D) as the right alternative.