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Question

A light of wavelength λ falls on metal having work function hcλo. The photoelectric effect will take place only if:

A
λ λ
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B
λ λ
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C
λ = 2λ
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D
λ = λo2
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Solution

The correct option is B λ ≤ λ∘The formula of photoelectric effect is given by: hν = w + KE. where, w = work function w = hνo Therefore, λo, is the wavelength corresponding to νo. Similarly, λ is the wavelength corresponding to ν. We know that kinetic energy in the photoelectric equation varies from 0 to any positive number. Hence, hν≥w And so is,hcλ ≥ hcλ∘ And ultimately, λ≤λ∘ Therefore, correct option is (b)

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