For photoelectric emission from a certain metal, the threshold frequency is ν₀. If radiation of frequency 2ν₀ is incident on the metal, find the maximum possible speed of the emitted electron. Here m is the electron mass.
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Question

For photoelectric emission from a certain metal, the threshold frequency is ν₀. If radiation of frequency 2ν₀ is incident on the metal, find the maximum possible speed of the emitted electron. Here m is the electron mass.

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G1 Physics · Accepted Answer

At threshold, φ = hν₀. For incident frequency 2ν₀, Kₘₐₓ = 2hν₀ − hν₀ = hν₀. Hence (1/2)mv² = hν₀, so v = √(2hν₀/m). Correct answer: D.