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MHT CET202613 April 2026Morning ShiftPhysicsAtomic PhysicsActual

The ratio of centripetal acceleration for an electron revolving in 3rd and 5th Bohr orbit of hydrogen atom is

Options

  1. A25 : 9
  2. B125 : 27
  3. C625 : 81
  4. D5 : 3

Correct answer

C. 625 : 81

Step-by-step solution

Centripetal acceleration is given by a_c = v^2 r In Bohr's model of hydrogen atom, velocity v 1 n and radius r n^2 Substituting these proportionalities, we get a_c (1/n)^2 n^2 a_c 1 n^4 For the 3rd and 5th orbits, the ratio of centripetal accelerations is: a₃ a₅ = ( 5 3 )^4 = 625 81

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