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AP EAMCET201822 Apr 2018Morning ShiftPhysicsDual Nature of MatterActual

. Hydrogen atom is in its n^ th energy state. If de-Broglie wavelength of the electron is , then

Options

  1. A1 n^2
  2. B1 n
  3. Cn^2
  4. Dn

Correct answer

D. n

Step-by-step solution

Angular momentum of electron in n^ th orbit of hydrogen is L=m v r= n h 2 de-Broglie wavelength, = h m v m v h = 1 r = n 2 = 2 r n Now, r n^2 (Bohr radius, r=0.529 n^2 Å ) n

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