Question

In: Physics

A light source emits a photon during a time interval of 4.87 multiply.gif 10-8 s. a)...

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.

Solutions

Expert Solution

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

                                     


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