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KCET2010PhysicsDual Nature of Matter

The de-Broglie wavelength of the electron in the ground state of the hydrogen atom is ..... (radius of the first orbit of hydrogen atom =0.53 Å ).

Options

  1. A1.67 ~A
  2. B3.33 Å
  3. C1.06 Å
  4. D0.53 Å

Correct answer

B. 3.33 Å

Step-by-step solution

According to Bohr's quantisation of angular momentum m v r= n h 2 or h mv = 2 r n ...(i) de- Broglie wavelength = h mv ...(ii) From Eqs. (i) and (ii), we get Wavelength = 2 r n aligned &= 2 0.53 Å 1 &=3.33 Å aligned

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