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Question: Answered & Verified by Expert
If the distribution of molecular speeds of a gas is as per the figure shown below, then the ratio of the most probable, the
average, and the root mean square speeds, respectively, is
PhysicsKinetic Theory of GasesJEE Main
Options:
  • A \( 1: 1: 1 \)
  • B \( 1: 1: 1.224 \)
  • C \( 1: 1.128: 1.224 \)
  • D \( 1: 1.128: 1 \)
Solution:
2127 Upvotes Verified Answer
The correct answer is: \( 1: 1: 1.224 \)

Due to symmetrical graph given, the average value of velocities will be at the middle, symmetrical velocity
which is also most probable velocity.

While calculating rms speed, we have to take average of square of speeds and its root. In square of
speeds, higher speeds will give more contribution so the value will be more than the average value.

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