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JIPMER2016PhysicsKinetic Theory of Gases

The temperature of a gas is raised from 27^ C to 927^ C . The root mean square speed

Options

  1. Agets halved
  2. Bgets doubled
  3. Cis ( 927 27 ) times the earlier value
  4. Dremains the same

Correct answer

B. gets doubled

Step-by-step solution

Given, aligned T₁ & =27^ C =300 ~K T₂ & =927^ C =1200 ~K aligned v_ rms = ( 3 k T m ) aligned & v_ rms T & (v_ rms )₁ (v_ rms )₂ = T₁ T₂ & (v_ rms )₁ (v_ rms )₂ = 300 1200 = 1 2 & (v_ rms )₂=2 (v_ rms )₁ & aligned

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