JEE Main2014ChemistryStructure of AtomActual
If ₀ and be threshold wavelength and wavelength of incident light, the velocity of photoelectron ejected from the metal surface is:
Options
- A. 2 h m ( ₀- . )
- B. 2 h c m ( _ o - . )
- C2 h c m ( ₀- ₀ )
- D2 h m ( 1 _ o - 1 )
Correct answer
C. 2 h c m ( ₀- ₀ )
Step-by-step solution
The kinetic energy of the ejected electron is given by the equation aligned h v &=h v₀+ 1 2 m v^2 v= c & or h c &= h c ₀ + 1 2 m v^2 1 2 m v^2 &= h c - h c ₀ &=h c ( ₀- ₀ ) & v^2 &= 2 h c m ( . ₀- ) ₀ ) & & v &= 2 h c m ( ₀- ₀ ) aligned