The work functions of two photosensitive metal surfaces A and B are in the ratio 2:3. If x and y are the slopes of the graphs drawn between the stopping potential and frequency of incident light for the surfaces A and B respectively, then \(x : y\) is:
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- 1:1
- 2:3
- 4:9
2:5
The Correct Option is A
Solution and Explanation
The slopes \( x \) and \( y \) represent the Planck constant \( h \) divided by the charge \( e \) in the photoelectric equation \( V = \frac{h}{e}(f - f_0) \). Since the slopes depend on universal constants \( h \) and \( e \), they are the same for any material, leading to a ratio \( x : y = 1:1 \).
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