JEE Main
- Exam
- JEE Main
- Subject
- Physics
- Chapter
- Kinetic Theory of Gases
JEE Main · Physics · Kinetic Theory of Gases
At NTP the density of a gas is 1.3 kg/m 3 and the velocity of sound...
At NTP the density of a gas is 1.3 kg/m3 and the velocity of sound propagation in the gas is 330 m/s. The degree of freedom of gas molecule is-
Options
- A3
- B5
- C6
- D7
Correct answer
B. 5
Step-by-step solution
\text{V} = \sqrt{γ \dfrac{\text{P}}{ρ}}
3 3 0 = \sqrt{γ × \dfrac{1 × 1 {0}^{5}}{\text{1.3}}}
\dfrac{{\left(3 3\right)}^{2} × 1 0 0 × \text{1.3}}{1 × 1 {0}^{5}} = γ
\dfrac{\text{1.089} × 1 {0}^{3} × 1 {0}^{2} × \text{1.3}}{1 × 1 {0}^{5}} = γ
\dfrac{2}{\text{f}} + 1 = γ = \text{1.4} = \dfrac{7}{5}
f = 5
3 3 0 = \sqrt{γ × \dfrac{1 × 1 {0}^{5}}{\text{1.3}}}
\dfrac{{\left(3 3\right)}^{2} × 1 0 0 × \text{1.3}}{1 × 1 {0}^{5}} = γ
\dfrac{\text{1.089} × 1 {0}^{3} × 1 {0}^{2} × \text{1.3}}{1 × 1 {0}^{5}} = γ
\dfrac{2}{\text{f}} + 1 = γ = \text{1.4} = \dfrac{7}{5}
f = 5