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Wave Optics

Question
CBSEENPH12038510

The emitter in a photoelectric tube has a threshold wavelength of 6000 Å. Determine the wavelength of the light incident on the tube if the stopping potential for this light is 2.5 V.

Solution
Given, threshold wavelength, λo = 6000 Å 
Stopping potential for the light, Vo = 2.5 V

Now, the formula gives us, 

The work function is, 

ϕ0 = hvth      = hcλth    = 12.4 × 103eV × Å6000 Å   = 2.07 eV 

The photoelectric equation then gives,

                          eV0 = hv - ϕ0

                     eV0 = hcλ-ϕ0 

         2.5 eV = 12.4 × 103 eV. Åλ-2.07 eV 

i.e.,                      λ = 2713 Ao . 

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