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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Kinetic Theory of Gases

NTA Abhyas 2020 · Physics · Kinetic Theory of Gases

Under standard conditions, the density of a gas is 1.3 mg cm ^ - 3...

Under standard conditions, the density of a gas is 1.3mgcm−31.3{mg cm}^{- 3} and the velocity of propagation of sound, in it, is 330ms−1330m{s}^{- 1}. The number of degrees of freedom of gas is

Correct answer

5

Step-by-step solution

Vsound=\gammaPρ{V}_{sound} = \sqrt{\dfrac{\gammaP}{ρ}} and γ=1+2f\gamma = 1 + \dfrac{2}{f}

∴∴ 1+2f=vsound2×ρP1 + \dfrac{2}{f} = \dfrac{{v}_{sound}^{2} \times ρ}{P}

1+2f=(330)2×(1.3)1.01×1051 + \dfrac{2}{f} = \dfrac{( 330{)}^{2} \times ( 1 . 3 )}{1 . 01 \times {10}^{5}}

1+2f=1.401 + \dfrac{2}{f} = 1 . 40

f=5f = 5

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