The graph between 1/λ and stopping potential (V) of three metals having work functions ϕ1,ϕ2 and ϕ3 in an experiment of photoelectric 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].
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/e, where h is Plancks constant and c is the speed of light.
The violet colour light can eject photoelectrons from metals 2 and 3.
A
Ratio of work functions ϕ1:ϕ2:ϕ3=1:2:4.
B
Ratio of work functions ϕ1:ϕ2:ϕ3=4:2:1.
C
tan θ is directly proportional to hc/e, where h is Plancks constant and c is the speed of light.
D
The violet colour light can eject photoelectrons from metals 2 and 3.
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Solution
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According to Einstein's equation, hcλ−ϕ= eV or, V=hceλ−ϕe Now the ratio, plate 1 : Plate 2 : Plate 3 ϕ1e=0.001, ϕ2e=0.002, ϕ3e=0.004
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