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JIPMER2014ChemistryStructure of Atom

An electron is moving in Bohr's fourth orbit. Its de-Broglie wave length is . What is the circumference of the fourth orbit?

Options

  1. A2
  2. B2
  3. C4
  4. D4

Correct answer

C. 4

Step-by-step solution

According to Bohr's concept, an electron always move in the orbit with angular momentum (mvr) equal to n h / 2 . m v r= n h 2 or r= n 2 ( h m v ) Or r= n 2 (from de-Broglie equation, = h m v ) For fourth orbit (n=4) , gathered r= 2 Circumference =2 r=2 2 =4 gathered

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