Dual Nature Of Light Question 350
Question: The de-Broglie wavelength of a neutron in thermal equilibrium with heavy water at a temperature T (Kelvin) and mass m, is:-
Options:
A) $ \frac{h}{\sqrt{3,mk,T}} $
B) $ \frac{2,h}{\sqrt{3,mk,T}} $
C) $ \frac{2,h}{\sqrt{mk,T}} $
D) $ \frac{h}{\sqrt{mk,T}} $
Show Answer
Answer:
Correct Answer: A
Solution:
[a] We know that, de-Broglie wavelength $ \lambda =\frac{h}{p}=\frac{h}{\sqrt{2m( KE )}} $ K.E. of thermal neutron $ =\frac{3}{2}kT $ $ =\frac{h}{\sqrt{2m( \frac{3}{2}kT )}}\Rightarrow \lambda =\frac{h}{\sqrt{3mkT}} $
BETA
