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JEE Main201912 Jan 2019Evening ShiftChemistryStructure of AtomActual

If the de Broglie wavelength of the electron in n t h Bohr orbit in a hydrogenic atom is equal to 1.5 π a 0 ( a 0 is Bohr radius ) , then the value of n z is:

Options

  1. A1.50
  2. B1.0
  3. C0.4
  4. D0.75

Correct answer

D. 0.75

Step-by-step solution

2 π r = n λ 2 π a 0 n 2 Z = n λ 2 π a 0 n 2 Z = n × 1.5 π a 0 n Z = 1.5 2 = 0.75

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