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Question:

The de-Broglie wavelength of a neutron in thermal equilibrium with heavy water at a temperature T (Kelvin) and mass m, is:

h√3mkT

2h√mkT

2h√3mkT

h√mkT

Solution:

At thermal equilibrium with heavy water
Ek = 3/2kT
λD = h√(2Ek/m) ⇒ λD = h√(3mkT)