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Question:

The de Broglie wavelength (λ) associated with a photoelectron varies with the frequency (v) of the incident radiation as, [v0 is threshold frequency]: λ∝1/(v−v0)

λ∝1/(v−v0)12

λ∝1/(v−v0)32

aλ∝1/(v−v0)14

λ∝1/(v−v0)

Solution:

For electron λDB = λ√2mK.E (de broglie wavelength)
By photoelectric effect
hv = hv0 + KE