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Molecular Speeds & Maxwell Distribution question from NEET 2013

Q87NEET 2013Medium

Molecular Speeds & Maxwell Distribution

In a vessel, the gas is at pressure P. If the mass of all the molecules is halved and their speed is doubled, then the resultant pressure will be

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Answer: (a)

  1. P=13Nmv2‾V∝mv2P = \frac{1}{3}\frac{N m \overline{v^2}}{V} \propto m v^2
  2. m2⋅(2v)2=2mv2\frac{m}{2}\cdot(2v)^2 = 2 m v^2
  3. So the answer is (a) 2P2P.
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