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JEE Main20248 Apr 2024Evening ShiftPhysicsDual Nature of MatterActual

A proton and an electron have the same de Broglie wavelength. If K _ p and K _ e be the kinetic energies of proton and electron respectively, then choose the correct relation :

Options

  1. AK_p>K_e
  2. BK _ p < K _ e
  3. CK _ p = K _ e
  4. DK _ p = K _ e ^2

Correct answer

B. K _ p < K _ e

Step-by-step solution

De Broglie wavelength of proton & electron = aligned & = h p & p _ proton = p _ electron & KE = p ^2 2 ~m & KE _ proton < KE _ electron & [ K _ p < K _ c ] aligned

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