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NTA Abhyas JEE Main2020ChemistryStructure of AtomPractice

If r 1 is the radius of first orbit of hydrogen atom, then the radii of second, third and fourth orbits in terms of r 1 are

Options

  1. Ar 1 2 , r 1 3 , r 1 4
  2. B8 r 1 , 27 r 1 , 64 r 1
  3. C4 r 1 , 9 r 1 , 16 r 1
  4. D2 r 1 , 6 r 1 , 8 r 1

Correct answer

C. 4 r 1 , 9 r 1 , 16 r 1

Step-by-step solution

r n = n 2 Z 5.29 × 1 0 - 11 m Z = 1 for H-atom So r 1 = 5.29 × 1 0 - 11 m = 4 r 1 r 2 = 4 × 5.29 × 1 0 - 11 m = 4 r 1 r 3 = 9 × 5.29 × 1 0 - 11 m = 9 r 1 r 4 = 16 × 5.29 × 1 0 - 11 m = 16 r 1

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