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KCET2020PhysicsDual Nature of Matter

Angular momentum of an electron in hydrogen atom is 3 h 2 (h is the Planck's constant). The KE of the electron is

Options

  1. A4.35 eV
  2. B1.51 eV
  3. C3.4 eV
  4. D6.8 eV

Correct answer

B. 1.51 eV

Step-by-step solution

Given, angular momentum of electron in H-atom = 3 h 2 ...(i) From Bohr's postulate, Angular momentum = n h 2 ...(ii) Comparing Eqs. (i) and (ii), we get n=3 The kinetic energy of an electron in hydrogen is given by aligned KE &= 13.6 Z² n² eV &= 13.6 1 3² &=1.51 eV aligned ( for H, Z=1 )

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