WBCS.LIVE practice question

Ratio of the rms speed and the most probable speed for molecules in an ideal gas is

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. āˆš3 : 1
  2. 1 : āˆš3
  3. āˆš3 : āˆš2
  4. āˆš2 : āˆš3

Correct answer and explanation

Correct answer: āˆš3 : āˆš2

Explanation: āœ… Correct Answer: C. āˆš3 : āˆš2 šŸ“š Explanation: In an ideal gas, the root mean square (rms) speed is calculated as the square root of (3RT divided by M), while the most probable speed is the square root of (2RT divided by M). Dividing these two formulas leads to a simplified ratio of the square root of 3 to the square root of 2. This relationship helps scientists understand the distribution of velocities among gas molecules.