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KCET2015PhysicsAlternating Current

If an electron in hydrogen atom jumps from an orbit of level ( n=3 ) to an orbit of level ( n=2 ). the emitted radiation has a frequency ( ( R= ) Rydberg constant, ( C= ) velocity of light)

Options

  1. A( 3 R C 27 )
  2. B( R C 25 )
  3. C( 8 R C 9 )
  4. D( 5 R C 36 )

Correct answer

D. ( 5 R C 36 )

Step-by-step solution

We know that [ array l 1 =R ( 1 n₁² - 1 n₂² ) Using f=c 1 = f c f c =R ( 1 n₁² - 1 n₂² ) f=R c ( 1 n₁² - 1 n₂² ) Given n₁=2 ; n₂=3 f=R c ( 1 2² - 1 3² )=R c ( 1 4 - 1 9 )=R c (9-4) 4 9 = 5 R C 36 array ] Therefore, frequency of emitted radiation is ( 5 36 Rc )

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