In: Physics
A light source emits a photon during a time interval of 4.87 multiply.gif 10-8 s. a) Find the minimum uncertainty in the photon's energy. b) Find the minimum frequency bandwidth of the light.
The energy-time uncertainty relation is
Where is uncertainty in energy, is time interval or the uncertainty in time, and h = 6.63 x 10-34 J.s.
Given,
So, the minimum uncertainty in photons energy is
(b) We have
where is the frequency of the photon and E is energy.
So, the minimum frequency bandwidth of the light is