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MHT CET202314 May 2023Morning ShiftPhysicsDual Nature of MatterActual

If the radius of the first Bohr orbit is ' r ' then the de-Broglie wavelength of the electron in the 4^ th orbit will be

Options

  1. A4 r
  2. B6 r
  3. C8 r
  4. Dr 4

Correct answer

C. 8 r

Step-by-step solution

According to Bohr's second postulate, nh 2 = mvr _ n de-Broglie wavelength, _ n = h mv = 2 r _ n n Also, r_n n^2 The de-Broglie wavelength of the electron in the 4^ th orbit is: aligned ₄ & = 2 r₄ 4 = 2 (16 r) 4 ₄ & =8 r aligned

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