The graph between 1λand stopping potential (V) of three metals having work functions ϕ1,ϕ2 and ϕ3 in an experiment of photo-electric effect is plotted as shown in the figure. Which of the following statement(s) is/are correct? Here λ is the wavelength of the incident ray].

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Ratio of work functions ϕ1:ϕ2:ϕ3=1:2:4

Ratio of work functions ϕ1:ϕ2:ϕ3=4:2:1

tan θ is directly proportional to hc, where h is Planck's constant and c is the speed of light

The violet colour light can eject photoelectrons from metals 2 and 3.

answer is A.

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Detailed Solution

eV=hcλ−ϕ⇒V=hceλ−ϕe=hce1λ−ϕe∴ Slope =tan⁡θ=hceϕ=hcλϕ1:ϕ2:ϕ3=1λ1:1λ2:1λ3=1:2:4

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