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JEE Main20206 Sep 2020Morning ShiftPhysicsDual Nature of MatterActual

An electron, a doubly ionized helium ion ( He⁺⁺ ) and proton are having the same kinetic energy. The relation between their respective de-Broglie wavelength λ e * λ He + + and λ p is :

Options

  1. A_e> _ He ⁺⁺ > _p
  2. B_e< _ He ⁺⁺ == _p
  3. C_e> _p> _ He ⁺⁺
  4. D_e< _p< _ He ⁺⁺

Correct answer

C. _e> _p> _ He ⁺⁺

Step-by-step solution

= h m v = h 2 m k _ e : _ p : _ He ⁺⁺ = 1 m _ e : 1 m _ p : 1 He ⁺⁺ 1 9.1 10⁻³¹ : 1 1.6 10⁻²⁷ : 1 4 1.6 10⁻²⁷ =84: 2: 1

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