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JEE Mains · Physics · STD 12 - 11. Dual nature of radiation and matter
Assuming the nitrogen molecule is moving with \(r.m.s.\) velocity at \(400\, K\), the de\(-\)Broglie wavelength of nitrogen molecule is close to\(......\mathring {A}\) (Given : nitrogen molecule weight : \(4.64 \times 10^{-26}\, kg ,\) Boltzman constant : \(1.38 \times 10^{-23}\, J / K ,\) Planck constant : \(\left.6.63 \times 10^{-34}\, J . s \right)\)
- A \(0.34\)
- B \(0.24\)
- C \(0.20\)
- D \(0.44\)
Answer & Solution
Correct Answer
(B) \(0.24\)
Step-by-step Solution
Detailed explanation
\(v_{ ms }=\sqrt{\frac{3 KT }{ m }}\) \(m \rightarrow\) mass of one molecule (in \(kg\) ) \(=\) \(\frac{\text { molar mass }}{ NA }\) de-Broglie wavelenth, \(\lambda=\frac{ h }{ mv }\) given, \(v = v _{ rms }\) \(\lambda=\frac{ h }{ m \sqrt{\frac{3 KT }{ m }}}\)…
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