When photons of wavelength λ 1 are incident on an isolated sphere, the corresponding stopping potential…

When photons of wavelength λ1 are incident on an isolated sphere, the corresponding stopping potential is found to be V. When photons of wavelength λ2 are used, the corresponding stopping potential was thrice that of the above value. If light of wavelength λ3 is used then find the stopping potential for this case:
  1. hce1λ3+1λ2-1λ1
  2. hce1λ3+12λ2-1λ1
  3. hce1λ3-1λ2-1λ1
  4. hce1λ3+12λ2-32λ1

Solution

hcλ1=hcλ0+eV ...(i)

hcλ2=hcλ0+3eV ...(ii)

hcλ3=hcλ0+eV ....(iii)

Equation (i) and (ii) 

32λ1-12λ2=1λ0

hcλ3-hc32λ1-12λ2=eV

hce1λ3-32λ1+12λ2=V

Asked in: JEE Main 2016 (09 Apr Online)

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