Q.
In an experiment of photoelectric effect, the stopping potential was measured to be V1 and V2 volts with incident light of wavelength λ and λ/2 respectively. The relation between V1 and V2 may be
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Dual Nature of Radiation and Matter
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Solution:
According to Einstein's photoelectric equation Kmax=hv−ϕ0 eVs=λhc−ϕ0 ⇒Vs=λehc−eϕ0
where, λ= Wavelength of incident light ϕ0= Work function Vs= Stopping potential
According to given problem V1=λehc−eϕ0…(i)
and V2=(2λ)ehc−eϕ0…(ii) V2=λe2hc−eϕ0 =λe2hc−e2ϕ0+e2ϕ0−eϕ0 =2(λehc−eϕ0)+eϕ0 V2=2V1+ϕ0 ∴V2>2V1 (Using (i))