Photoelectric EffectHard

Question

The graph between 1/λ and 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].
       

Options

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 Planck′s constant and c is the speed of light.
D.The violet colour light can eject photoelectrons from metals 2 and 3.

Solution

- φ = eV
V =
For plate 1:       plate 2       plate 3
= 0.001     = 0.002     = 0.004
φ1 : φ2 : φ3 = 1 : 2 : 3
For plate 2, threshold wavelength
λ = = 500 nm
For plate 3, threshold wavelength
λ = = 250 nm
Since violet colour light λ is 400 nm, so λviolet < λthreshold for plate 2
So, violet colour light will eject photo-electrons from plate 2 and not from plate 3.

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