Q. There is a stream of neutrons with a kinetic energy of . If the half life of neutron is second, what fraction of neutrons will decay before they travel a distance of ? Given mass of neutron .

Solution:

From the given kinetic energy of the neutrons, we first calculate their velocity. Thus


or
with this speed, the time taken by the neutrons to travel a distance of is,

The fraction of neutrons decayed in time second is, also,
.