A radioactive element has a rate of disintegration 10,000 disintegrations per minute at a particular instant. After four minutes it becomes 2500 disintegrations per minute. The decay constant per minu

Question

A radioactive element has a rate of disintegration 10,000 disintegrations per minute at a particular instant. After four minutes it becomes 2500 disintegrations per minute. The decay constant per minute is

TestHub · Accepted Answer

N N 0 = e - λ t ∴ 2500 10000 = e - λ × 4 ∴ 1 4 = e - 4 λ ∴ e 4 λ = 4 ∴ 4 λ = log e ⁡ 4 ∴ 4 λ = log e ⁡ 2 2 ∴ 4 λ = 2 log e ⁡ 2 ∴ λ = 2 4 log e ⁡ 2 ∴ λ = 0.5 log e ⁡ 2

Physics - Modern Physics Question with Solution | TestHub

Options:

Doubts & Discussion