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MHT CET20239 May 2023Morning ShiftPhysicsAtomic PhysicsActual

For an electron moving in the n ^ th Bohr orbit the deBroglie wavelength of an electron is

Options

  1. An r
  2. Br n
  3. Cn r 2
  4. D2 r n

Correct answer

D. 2 r n

Step-by-step solution

From de Broglie's hypothesis, = h p _ n = h mv and from Bohr's atomic model, L = nh 2 Also, L = mvr _ n Due to quantization of angular momentum, we can write, aligned & nh 2 = mvr _ n & v = nh 2 mr aligned putting (ii) into (i), we get, = h m ( nh / 2 mr ) = 2 r n

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