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Question 16

For the photoelectric effect, the maximum kinetic energy $$E_k$$ of the photoelectrons is plotted against the frequency $$(\nu)$$ of the incident photons as shown in figure. The slope of the graph give

Solution

Einstein's photoelectric equation: $$E_k = h\nu - \phi$$

Comparing with the slope-intercept form of a straight line ($$y = mx + c$$):

$$y = E_k, \quad x = \nu$$

$$\implies \text{Slope } (m) = h \quad (\text{Planck's constant})$$

$$\implies y\text{-intercept } (c) = -\phi \quad (-\text{Work function})$$

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