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JEE Main 2018 (16 Apr, Shift 1) · Matter Waves: de Broglie Wavelength

Matter Waves: de Broglie Wavelength question from JEE Main 2018 (16 Apr, Shift 1)

Q129JEE Main 2018 · 16 APR · SHIFT 1Medium

Matter Waves: de Broglie Wavelength

The de-Broglie wavelength (λ\lambdaB) associated with the electron orbiting in the second excited state of hydrogen atom is related to that in the ground state (λ\lambdaG) by:

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Answer: (b)

  1. λ=2πrnn∝n\lambda = \dfrac{2\pi r_n}{n} \propto n
  2. Second excited state: n=3n = 3; ground state: n=1n = 1.
  3. λB=3λG\lambda_B = 3\lambda_G
  4. So the answer is (b).
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