Physics-
General
Easy

Question

In the Bohr model of the hydrogen atom, let R, v and E represent the radius of the orbit, the speed of electron and the total energy of the electron respectively. Which of the following quantity is proportional to the quantum number n

  1. R/E    
  2. E/v    
  3. RE    
  4. vR    

The correct answer is: vR


    Rydberg constant R equals fraction numerator epsilon subscript 0 end subscript n to the power of 2 end exponent h to the power of 2 end exponent over denominator pi m Z e to the power of 2 end exponent end fraction
    Velocity v equals fraction numerator Z e to the power of 2 end exponent over denominator 2 epsilon subscript 0 end subscript n h end fraction and energy E equals negative fraction numerator m Z to the power of 2 end exponent e to the power of 4 end exponent over denominator 8 epsilon subscript 0 end subscript superscript 2 end superscript n to the power of 2 end exponent h to the power of 2 end exponent end fraction
    Now, it is clear from above expressions R.v µ n

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