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AP EAMCET202422 May 2024Morning ShiftChemistryStructure of AtomActual

If v₀ is the threshold frequency of a metal X , the correct relation between de Broglie wavelength ( ) associated with photoelectron and frequency (v) of the incident radiation is

Options

  1. A1 v-v₀
  2. B1 (v-v₀ )^ 1 4
  3. C1 (v-v₀ )^ 3 4
  4. Dv-v₀

Correct answer

A. 1 v-v₀

Step-by-step solution

According to de Broglie wavelength, aligned & = h mv & KE = 1 2 ~m v^2 & v= 2 K E ~m & = h 2 ~m K E aligned From photoelectric effect aligned & KE = hv - hv ₀ & KE = h ( v - v ₀ ) & = h 2 mh (v-v₀ ) & = h 2 ~m (v-v₀ ) & ( 1 v-v₀ )^ 1 / 2 aligned

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