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