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JEE Main202312 Apr 2023Morning ShiftPhysicsDual Nature of MatterActual

A proton and an α -particle are accelerated from rest by 2 V and 4 V potentials, respectively. The ratio of their de-Broglie wavelength is :

Options

  1. A8   :   1
  2. B2   :   1
  3. C4   :   1
  4. D16   :   1

Correct answer

C. 4   :   1

Step-by-step solution

The formula to calculate the de Broglie wavelength of the proton is given by λ p = h 2 m p q p V       . . . 1 The formula to calculate the de Broglie wavelength of the alpha particle is given by λ α = h 2 m α q α V '       . . . 2 Divide equation (1) by equation (2) and simplify to obtain the required ratio. λ p λ α = m α m p × q α V ' q p V       . . . 3 Substitute the values of the known parameters into eq

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