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Question

The graph between 1λ and stopping potential (V) of three metals having work function ϕ1,ϕ2 and ϕ3 in an experiment of photo-electric effect is plotted as shown in the figure. Which of the following statements is/are correct.

A
Ratio of work function ϕ1:ϕ2:ϕ3=4:2:1
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B
tan θ is inversely proportional to e, charge of electron
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C
Ratio of threshold wave length λ1:λ2:λ3=4:2:1
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D
The slope is independent of the nature of material.
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Solution

The correct options are
B tan θ is inversely proportional to e, charge of electron

C Ratio of threshold wave length λ1:λ2:λ3=4:2:1
D The slope is independent of the nature of material.
From graph ϕ1:ϕ2:ϕ3=1:2:4

therefore λ1:λ2:λ3=4:2:1

slope = hce = constant, does not depend on the metal.

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