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NEET · Physics · STD 12 - 11. Dual nature of radiation and matter

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

  1. A \(\frac{h}{{\sqrt {mkBT} }}\)
  2. B \(\;\frac{h}{{\sqrt {2mkBT} }}\)
  3. C \(\;\frac{h}{{\sqrt {3mkBT} }}\)
  4. D \(\;\frac{h}{{2\sqrt {mkBT} }}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\;\frac{h}{{\sqrt {3mkBT} }}\)

Step-by-step Solution

Detailed explanation

Kinetic energy of a neutron in therma equilibrium with heavy water at a temperature \(T\) is given as \(K=\frac{3}{2} k T\)   ..... \((i)\)