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Question

The de - Broglie wavelength associated with the electron in the n=4 level is :
  1. half of the de-Broglie wavelength of the electron in the ground state
  2. four times the de-Broglie wavelength of the electron in the ground state
  3. 1/4th of the de-Broglie wavelength of the electron in the ground state
  4. two times the de-Broglie wavelength of the electron in the ground state

A
1/4th of the de-Broglie wavelength of the electron in the ground state
B
two times the de-Broglie wavelength of the electron in the ground state
C
four times the de-Broglie wavelength of the electron in the ground state
D
half of the de-Broglie wavelength of the electron in the ground state
Solution
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De-Broglie wavelength is given as

λ=hmv...(i) where h is planck constant

The velocity of electron in Bohr model is given as

v=h2πmean...(i)

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