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JEE Main 2021 (20 Jul, Shift 1) · Molecular Speeds & Maxwell Distribution

Molecular Speeds & Maxwell Distribution question from JEE Main 2021 (20 Jul, Shift 1)

Q65JEE Main 2021 · 20 JUL · SHIFT 1Easy

Molecular Speeds & Maxwell Distribution

Consider a mixture of gas molecule of types A, B and C having masses mA < mB < mC. The ratio of their root mean square speeds at normal temperature and pressure is:

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Answer: (c)

  1. At the same temperature vrms∝1mv_{rms} \propto \frac{1}{\sqrt{m}}.
  2. mA<mB<mC⇒vA>vB>vCm_A < m_B < m_C \Rightarrow v_A > v_B > v_C
  3. Taking reciprocals: 1vA<1vB<1vC\frac{1}{v_A} < \frac{1}{v_B} < \frac{1}{v_C}
  4. So the answer is (c).
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