in certain conditions it is possible to measure the energy o

in certain conditions it is possible to measure the energy of gamma-ray photon to one part in 10^15.For a photon energy of 50 keV.estimate the maximum lietime that could be determined by a direct measurement of the spread of photon energy

hiesnberg uncertainty

please explain every step in details,thank you

Solution

The change in energy is

E = 50 keV/10^15

= 8.0*10-30 J

Hence the time is

t = h/(2E) = 1.3*10-4 s