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Question
Use Einstein's photoelectric equation to show how from this graph,
(i) Threshold frequency, and
(ii) Planck's constant can be determined.
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Solution
Einstein's photoelectric equation is (K. E.)max = hv - W
⇒ (K. E.)max = hv - W = eVs
⇒ eVs = hv - W
⇒ `"V"_s = "h"/"e" "v" - "w"/"e""`
⇒ y = mx + c
As we can see a graph can be plotted between stopping potential and frequency of incident photons.
(i) Threshold frequency can be obtained from the graph where the graph cuts the x-axis, i.e. where the value of stopping potential becomes zero.
(ii) As the slope of the graph is `"h"/"e"`, hence by calculating the slope and multiplying it by the value of charge 'e' we can also find the value of plank's constant.
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