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JEE Main202116 Mar 2021Evening ShiftPhysicsDual Nature of MatterActual

The de-Broglie wavelength associated with an electron and a proton were calculated by accelerating them through same potential of 100 V . What should nearly be the ratio of their wavelengths ? m p = 1 . 00727 u , m e = 0 . 00055 u

Options

  1. A1860   :   1
  2. B1860 2   :   1
  3. C41 . 4   :   1
  4. D43   :   1

Correct answer

D. 43   :   1

Step-by-step solution

λ = h m v = h 2 m K = h 2 m q V λ 1 λ 2 = m 2   m 1 λ e λ p = m p m e = 1831 . 4 = 42 . 79

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