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NEET 2013
Exam
NEET
Year
2013
Subject
Physics
Chapter
Dual Nature of Matter

NEET 2013 · Physics · Dual Nature of Matter

The de-Broglie wavelength of neutrons in thermal equilibrium at...

The de-Broglie wavelength of neutrons in thermal equilibrium at temperature TT is:

Options

  1. A3.08TA˚\frac{3.08}{\sqrt{T}} Å
  2. B0.308TA˚\frac{0.308}{\sqrt{T}} Å
  3. C0.0308TA˚\frac{0.0308}{\sqrt{T}} Å
  4. D30.8TA˚\frac{30.8}{\sqrt{T}} Å

Correct answer

D. 30.8TA˚\frac{30.8}{\sqrt{T}} Å

Step-by-step solution

Using de-Broglie wavelengthλ=h2mKBTλ=6.63×10−342×1.67×10−27×1.38×10−23×T=3.08×10−34×1025Tm=30.8TA˚\begin{aligned} \lambda& =\frac{h}{\sqrt{2 m K_B T}}\\ \lambda & =\frac{6.63 \times 10^{-34}}{\sqrt{2 \times 1.67 \times 10^{-27} \times 1.38 \times 10^{-23} \times \mathrm{T}}}\\ & =\frac{3.08 \times 10^{-34} \times 10^{25}}{\sqrt{T}}m=\frac{30.8}{\sqrt{T}}Å \end{aligned}
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