Answer :
The threshold wavelength for the production of photoelectrons with the work function 1.7 x 10^-19 J is 11.69 x 10^-7 m.
What is threshold wavelength?
Threshold wavelength is the minimum wavelength for any incident radiation should possess in order for the photoelectric effect to take place. The wavelength of the incident light must be less than the threshold wavelength for any photoelectric emission to occur.
The threshold wavelength can be calculated as,
φ = hC / λ
where φ = work function, λ = threshold wavelength, h = Planck's constant and C = velocity of light.
λ = hC / φ = 6.625 x 10^-34 x 3 x 10^8 / 1.7 x 10^-19 = 11.69 x 10^-7 m
Therefore, the threshold wavelength for the production of photoelectrons with the work function 1.7 x 10^-19 J is 11.69 x 10^-7 m.
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