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JEE Main202125 Feb 2021Morning ShiftPhysicsDual Nature of MatterActual

An α particle and a proton are accelerated from rest by a potential difference of 200 V . After this, their de Broglie wavelengths are λ α and λ p respectively. The ratio λ p λ α is :

Options

  1. A8
  2. B3 . 8
  3. C2 . 8
  4. D7 . 8

Correct answer

C. 2 . 8

Step-by-step solution

λ = h p = h 2 m q V ⇒ λ p λ α = m α q α m p q p = 4 m p × 2 e m p × e = 8 = 2 2 = 2 2 ⇒ λ p λ α = 2 × 1 . 4 = 2 . 8

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