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MHT CET202618 April 2026Morning ShiftPhysicsAtomic PhysicsActual

The angular momentum of the electron in the third Bohr orbit of a hydrogen atom is ' l ' so its angular momentum in the fourth Bohr orbit is

Options

  1. A4l
  2. B( 5 4 )l
  3. C( 4 3 )l
  4. D( 3 2 )l

Correct answer

C. ( 4 3 )l

Step-by-step solution

According to Bohr's atomic model, the angular momentum of an electron in the n -th orbit is given by L = nh 2 . For the third Bohr orbit ( n=3 ), the angular momentum is l = 3h 2 . For the fourth Bohr orbit ( n=4 ), the angular momentum is L' = 4h 2 . Taking the ratio of the two angular momenta: L' l = 4 3 L' = ( 4 3 )l Answer: ( 4 3 )l

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