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MHT CET202019 Oct 2020Evening ShiftPhysicsAtomic PhysicsActual

Using Bohr's model, the orbital period of electron in hydrogen atom in n ^ th orbit is ( ₀= . permittivity of free space, h = Planck's constant, m = mass of electron, e = electronic charge )

Options

  1. A8 ₀² n ³ ~h ³ me ⁴
  2. B2 ₀² n ³ ~h ³ ~m e ⁴
  3. C2 ₀ n ² ~h ² me ⁴
  4. D4 ₀² n ³ ~h ³ me ⁴

Correct answer

D. 4 ₀² n ³ ~h ³ me ⁴

Step-by-step solution

(B) array l T = 2 r V ; r = n ² ~h ² ₀ h e ² ~V = e ² 2 _ o n array putting the values of V and r , T= 4 ₀ ² n ³ ~h ³ me ⁴

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