Neutrons in thermal equilibrium with matter at 27oC can be thought to behave like ideal gas. Assuming them to have a speed of vrms, If the de-Broglie wavelength λ is 11N156nm. The value of N is __________ [Take mn=1.69×10−27kg,k=1.44×10−23J/K,h=6.60×10−34Jsec

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answer is 2.

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Detailed Solution

vnms=3kTm;λ=hp⇒λ=hmn×vrms=h3kTmn⇒λ=6.6×10−343×1.44×10−23×1.69×10−27×300=2.2×10−101.2×1.3=11×2×10−9156=11×2156nm

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