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JEE Main · 2005 · 08 May 2005 · Offline · States of Matter

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Which one of the following statements is NOT true about the effect of an increase in temperature on the distribution of molecular speeds in a gas?
  1. (A)The most probable speed increases
  2. (B)The fraction of the molecules with the most probable speed increases✓ Correct
  3. (C)The distribution becomes broader
  4. (D)The area under the distribution curve remains the same as under the lower temperature

Answer: (B)

Solution

Heating a gas shifts its Maxwell-Boltzmann speed distribution in a characteristic way. The most probable speed moves to a higher value, the curve spreads out and flattens, and the total area stays fixed because the number of molecules has not changed, so those three statements all hold. What happens to the peak itself is the catch: as the distribution flattens, the fraction of molecules sitting right at the most probable speed falls rather than rises, so the claim that this fraction increases is the untrue one.

JEE Main · 2005 · 08 May 2005 · Offline · Single correct option

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