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JEE Main201912 Jan 2019Morning ShiftPhysicsDual Nature of MatterActual

A particle A of mass m and charge q is accelerated by a potential difference of 50 V . Another particle B of mass 4 m and charge q is accelerated by a potential difference of 2500 V . The ratio of de-Broglie wavelengths λ A λ B is close to:

Options

  1. A0.07
  2. B10.00
  3. C4.47
  4. D14.14

Correct answer

D. 14.14

Step-by-step solution

de-Broglie wavelength λ = h ρ = h 2 m e V λ A λ B = 4 m × 2500 m × 50 = 2 × 5 2 = 14.14

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