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Most Important Selected Qs for JEE AdvancedChemistryStates of Matter

Paragraph According to Maxwell distribution law, the probability distribution function is given as below: F ( v )=4 ( M 2 R T )^ 3 / 2 v ^2 e ^ -M v ^2 / 2 R ~T M-molar mass of gas, v-speed, R-gas constant, T-Absolute temperature Fraction of molecule in the range of v₁ to v₂= _ v₁ ^ v₂ f(v) d v Question Average speed ( V _ avg ) most probable speed ( v _ mp ) and root mean square ( v _ ms ) speeds can be derived from

Options

  1. Av_ avg = ₀^ v f(v) d v
  2. Bv_ m p = d f(v) d v =0
  3. Cv_ ms ^2= ₀^ v^2 f(v) d v
  4. Dv_ ms = ₀^ v f(v) d v

Correct answer

D. v_ ms = ₀^ v f(v) d v

Step-by-step solution

v _ avg = ₀^ vf ( v ) d v v_ m p = d f(v) d v =0 v _ rms ^2= ₀^ v ^2 f ( v ) d v

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