Question
In a mixture of gases, the average number of degree of freedoms per molecule is 6 . The rms speed of the molecule of the gas is c, then the velocity of sound in the gas is
BITSAT
Physics
Kinetic Theory of Gases
2024
BITSAT 2024 (Memory Based Paper 3)
BITSAT Physics Question (2024) — Solution
Options
- A. c 3
- B. c 2
- C. 2 c 3
- D. 3 c 3
Answer
C. 2 c 3
Step-by-step solution
(v_ rms = 3 R T M and v_ sound = R T M v_ sound v_ rms = 3 Degree of freedom is 6 . array lr & =1+ 2 f =1+ 2 6 = 4 3 \\ & v_ sound = 4 / 3 3 v_ rms = 2 3 v_ rms = 2 c 3 array
Related: Physics — Kinetic Theory of Gases · All PYQ Banks