Let v _ , v _ r m and vP respectively denote the mean speed, root mean square speed and…
Physics · JEE Advanced · NTA Exams — Kinetic Theory of Gases
Let \(\vec{v}_{,} \vec{v}_{r m}\) and vP respectively denote the mean speed, root mean square speed and most probable speed of the molecules in an ideal monoatomic gas at absolute temperature T. The mass of the molecule is m. Then
- no molecule can have a speed greater than \(\left(\sqrt{2} v_{r m}\right)\)
- no molecule can have a speed less than \(\frac{v_{p}}{(\sqrt{2})}\)
- \(\bar{v}
- the average kinetic energy of the molecules is \(\frac{3}{4}\left(m v_{p}^{2}\right)\)
Answer
(D) the average kinetic energy of the molecules is 3 4 (m v_ p ^ 2 )
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