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JEE Main2015ChemistryStructure of AtomActual

At temperature T , the average kinetic energy of any particle is 3 2 kT . The de Broglie wavelength follows the order:

Options

  1. AVisible photon > thermal electron > thermal neutron.
  2. BThermal neutron > visible photon > thermal electron.
  3. CThermal neutron > thermal electron > visible photon.
  4. DVisible photon > thermal neutron > thermal electron.

Correct answer

A. Visible photon > thermal electron > thermal neutron.

Step-by-step solution

λ n = h 2 m E ( E = kT for thermal neutron) λ n = h 2 m n k T = 30.835 T = 30.835 17.32 = 1.78   Å λ e = 150 V Kinetic energy for electron in hydrogen atom = 13 . 60   eV   V = 13 . 6   V λ e = 150 13.6 = 3.32   Å λ p h o t o n v i s i b l e   r a n g e = 6000   Å λ p h o t o n > λ e l e c t r o n > λ n e u t r o n

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