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MHT CET · Physics · Kinetic Theory of Gases

The temperature of an ideal gas in increased from 100 K to 400 K . If ' x ' is the r.m.s. velocity of its molecules at 100 K , then at 400 K , the r.m.s. velocity becomes

  1. A \(4 x\)
  2. B \(x / 4\)
  3. C \(2 x\)
  4. D \(3 x\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(2 x\)

Step-by-step Solution

Detailed explanation

\(v_{rms} \propto \sqrt{T}\) \(\frac{v_2}{v_1} = \sqrt{\frac{T_2}{T_1}}\)