JEE Main201911 Jan 2019Evening ShiftChemistryStructure of AtomActual
The de Broglie wavelength ( ) associated with a photoelectron varies with the frequency (v) of the incident radiation as, [v₀ . is threshold frequency]:
Options
- A1 (v-v₀ )
- B1 (v-v₀ )^ 1 4
- C1 (v-v₀ )^ 3 2
- D1 (v-v₀ )^ 1 2
Correct answer
D. 1 (v-v₀ )^ 1 2
Step-by-step solution
According to de-Broglie wavelength equation, = h m v 1 v According to photoelectric effect, array l hv - hv ₀= 1 2 mv ² ; v - v ₀= 1 2 = mv ² ~h v - v ₀ v ² v ( v - v ₀ )^ 1 / 2 1 ( v - v ₀ )^ 1 / 2 array