MHT CET202619 April 2026Evening ShiftPhysicsDual Nature of MatterActual
When light of wavelength ' ' is incident on a photosensitive surface, the stopping potential is 'V'. When a light of wavelength 1.5 is incident on the same surface, the stopping potential is ' V 4 '. Threshold wavelength for the surface is
Options
- A6 5
- B7.5 4
- C7.5 9
- D9 5
Correct answer
D. 9 5
Step-by-step solution
Using Einstein's photoelectric equation: eV = hc - hc ₀ For the second case: e ( V 4 ) = hc 1.5 - hc ₀ Multiplying the second equation by 4 gives: eV = 4hc 1.5 - 4hc ₀ = 8hc 3 - 4hc ₀ Equating the two expressions for eV : hc - hc ₀ = 8hc 3 - 4hc ₀ Dividing by hc and rearranging the terms: 4 ₀ - 1 ₀ = 8 3 - 1 3 ₀ = 5 3 ₀ = 9 5 Answer: 9 5