A radioactive element has 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
1
\(0.2\log_{e}{2}\)
2
\(0.5\log_{e}{2}\)
3
\(0.6\log_{e}{2}\)
4
\(0.8\log_{e}{2}\)