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MHT CET202521 Apr 2025Evening ShiftPhysicsKinetic Theory of GasesActual

The r.m.s. speed of gas molecules at 800 K will be

Options

  1. Asame as at 200 K
  2. Btwice the value at 200 K
  3. Cfour times the value at 200 K
  4. Dhalf the value at 200 K

Correct answer

B. twice the value at 200 K

Step-by-step solution

The root mean square speed is given by v_ rms = 3RT M , showing v_ rms T . For temperatures T₁ = 800 K and T₂ = 200 K , the ratio becomes v₁ v₂ = 800 200 = 4 = 2 . The r.m.s. speed at 800 K is therefore twice that at 200 K. Answer: B

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