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JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases

किस ताप पर किसी एक परमाणुक अणु की औसत गतिज ऊर्जा \(0.414 \mathrm{eV}\) है : (दिया \(\mathrm{K}_{\mathrm{B}}=1.38 \times 10^{-23} \mathrm{~J} / \mathrm{mol}-\mathrm{K}\) )

  1. A  \(3000 \mathrm{~K}\)
  2. B  \(3200 \mathrm{~K}\)
  3. C  \(1600 \mathrm{~K}\)
  4. D \(1500 \mathrm{~K}\)
Verified Solution

Answer & Solution

Correct Answer

(B)  \(3200 \mathrm{~K}\)

Step-by-step Solution

Detailed explanation

For monoatomic molecule degree of freedom \(=3\). \( \therefore \mathrm{K}_{v-\mathrm{g}}=\frac{3}{2} \mathrm{~K}_{\mathrm{B}} \mathrm{T} \) \( \mathrm{T}=\frac{0.414 \times 1.6 \times 10^{-19} \times 2}{3 \times 1.38 \times 10^{-23}} \) \( =3200 \mathrm{~K}\)
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