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A metal has a work function ϕ 0 and its corresponding threshold wavelength is λ 0 . If the threshold wavelength for a metal whose work function is ϕ 0 3 is n λ 0 , then what is the the value of n ?

Correct answer

3

Step-by-step solution

We know, ϕ 0 = ℏ c λ n ∴ ϕ 0 ϕ 0 ' = λ 0 ' λ 0 Here, ϕ 0 ' = ϕ 0 3 ∴ λ 0 ' λ 0 = 3 ∴ λ 0 ' = 3 λ 0 ∴ n = 3

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