MHT CET202410 May 2024Evening ShiftPhysicsDual Nature of MatterActual
A photoelectric surface is illuminated successively by monochromatic light of 'wavelength ' ' and ( 2 ) . If the maximum kinetic energy of the emitted photoelectrons in the first case is one-fourth that in the second case, the work function of the surface of the material is ( c = speed of light, h = Planck's constant )
Options
- A2 hc
- Bhc
- C2 hc 3
- Dhc 3
Correct answer
C. 2 hc 3
Step-by-step solution
aligned & E₁= h c - ...(i) & E₂= h c / 2 - = 2 h c - (ii) & Given, E₁= E₂ 4 & 4 E₁=E₂ ...(iii) & From (ii) and (iii), & 4 E₁= 2 h c - & 4 ( h c - )= 2 h c - aligned [Substituting from (i)] array ll & 4 h c -4 = 2 h c - & 3 = 2 h c & = 2 h c 3 array