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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, hνw
And so is,hcλ hcλ
And ultimately, λλ

Therefore, correct option is (b)

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