Physics-
General
Easy

Question

Radius of the first orbit of the electron in a hydrogen atom is 0.53 Å. So, the radius of the third orbit will be

  1. 2.12 Å    
  2. 4.77 Å    
  3. 1.06 Å    
  4. 1.59 Å    

The correct answer is: 4.77 Å


    r subscript n end subscript proportional to n to the power of 2 end exponent rightwards double arrow fraction numerator r subscript 3 end subscript over denominator r subscript 1 end subscript end fraction equals fraction numerator 3 to the power of 2 end exponent over denominator 1 end fraction rightwards double arrow r subscript 3 end subscript equals 9 r subscript 1 end subscript equals 9 cross times 0.53 equals 4.77 Å

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