For photoelectric phenomenon, an experimenter plots a graph as shown in the figure.

Which of the following statement(s) is/are correct?

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the intercept on the $x$ -axis is proportional to the work function of the cathode

$y$ -axis shows the kinetic energy of the slowest among the electrons ejected

the two graph lines for different cathodes are always parallel

$x$ -axis shows the wavelength of light used

answer is C, D.

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Detailed Solution

$h ν = ϕ + e v_{s} \Rightarrow V_{s} = (\frac{h}{e}) ν - \frac{ϕ}{e}$

The y-axis represents maximum kinetic energy or stopping potential. The x-axis represents frequency or reciprocal of wavelength of incident light.

The intercept on the $x$ -axis $(\frac{ϕ}{e})$ is proportional to the work function of the cathode and the two graph lines for different cathodes are always parallel as the slope $(\frac{h}{e})$ of the two lines are same and equal to universal constant.

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