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JEE Main20241 Feb 2024Morning ShiftPhysicsDual Nature of MatterActual

The de Broglie wavelengths of a proton and an α particle are λ and 2 λ respectively. The ratio of the velocities of proton and α particle will be :

Options

  1. A1 : 8
  2. B1 : 2
  3. C4 : 1
  4. D8 : 1

Correct answer

D. 8 : 1

Step-by-step solution

As we know, de Broglie wavelength is given by, λ = h p = h m v ⇒ v = h m λ Therefore, v p v α = m α m p × λ α λ p = 4 × 2 = 8

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