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A photoelectric material having work-function φ 0 is illuminated with light of wavelength λ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ φ < λ 0 hc . The fastest photoelectron has a de Broglie wavelength λ d . A change in wavelength of the incident light by Δλ results in a change Δλ d in λ d . Then the ratio Δλ d / Δλ is proportional to

1. λ 3 d / λ
2. λ d / λ
3. λ 2 d / λ 2
4. λ 3 d / λ 2

Correct answer: λ 3 d / λ 2

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