For two different photosensitive materials having work function \(\phi\) and \(2 \phi\) respectively, are illuminated with light of sufficient energy to emit electrons. If the graph of stopping potential versus frequency is drawn, for these two different photosensitive materials, the ratio of slope of graph for these two materials is
For two different photosensitive materials having work function \(\phi\) and \(2 \phi\) respectively, are illuminated with light of sufficient energy to emit electrons. If the graph of stopping potential versus frequency is drawn, for these two different photosensitive materials, the ratio of slope of graph for these two materials is
Show Hint
- \(1:1\)
- \(1:2\)
- \(1:4\)
- \(4:1\)
The Correct Option is A
Solution and Explanation
Einstein's photoelectric equation is \(eV_s=hf-\phi\).
Step 2: Straight line form
\(V_s=\dfrac{h}{e}f-\dfrac{\phi}{e}\), so the slope is \(\dfrac{h}{e}\).
Step 3: Compare the metals
The slope contains only the constants \(h\) and \(e\), so it is the same for work functions \(\phi\) and \(2\phi\).\nThe ratio of slopes is \(1:1\).
Final Answer:
The slopes are equal, so the ratio is 1 : 1. \[ \boxed{\text{(A) }1:1} \]
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