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MHT CET202210 Aug 2022Morning ShiftPhysicsAtomic PhysicsActual

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

Options

  1. A125 81
  2. B625 81
  3. C625 27
  4. D25 9

Correct answer

B. 625 81

Step-by-step solution

Centripetal acceleration a= v^2 r In Bohr orbit, the velocity v 1 n and radius r n^2 have functional dependencies on orbit number n . Thus, the centripetal acceleration depends on the orbit number as follows: a 1 n^4 a₃ a₅ = 5^4 3^4 = 625 81

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