MHT CET202523 Apr 2025Morning ShiftPhysicsDual Nature of MatterActual
For two different photosensitive materials having work function and 2 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
Options
- A1: 1
- B1: 2
- C1: 4
- D4: 1
Correct answer
A. 1: 1
Step-by-step solution
The photoelectric equation is given by h = + eV_s , where h is Planck's constant, is the frequency of the incident light, is the work function, e is the charge of an electron, and V_s is the stopping potential. Rearranging yields eV_s = h - , so V_s = h e - e , which is linear in with slope m = h e . Since h and e are fundamental constants, the slope h e remains the same for all photosensitive materials, regardless of their work function. The ratio of slopes for any two materials is 1:1 . Thus, the correct option i