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MHT CET202410 May 2024Evening ShiftPhysicsAtomic PhysicsActual

In the Bohr model of hydrogen atom, the centripetal force is furnished by the coulomb attraction between the proton and the electron. If ' r₀ ' is the radius of the ground state orbit, ' m ' is the mass, 'e' is the charge on the electron and ' ₀ ' is the permittivity of vacuum, the speed of the electron is

Options

  1. Azero
  2. Be ₀ r ₀ ~m
  3. Ce 4 ₀ r ₀ ~m
  4. D4 ₀ r ₀ ~m e

Correct answer

C. e 4 ₀ r ₀ ~m

Step-by-step solution

Given, Centripetal Force = Coulomb attraction aligned & mv ^2 r ₀ = l 4 ₀ e ^2 r ₀^2 & v = e 4 ₀ r ₀ ~m aligned

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