The speed of sound in oxygen at S.T.P. will be approximately: (given, R = 8.3 JK⁻¹, γ = 1.4) (a) 341 m/s (b) 333 m/s (c) 325 m/s (d) 315 m/s

Answer: (d). v = √((γ RT)/(M)) with M = 0.032 kg/mol, T = 273 K. v = √((1.4 × 8.3 × 273)/(0.032)) = √(9.91×10⁴) v ≈ 315 m/s So the answer is (d) 315 m/s.

The speed of sound in oxygen at S.T.P. will be approximately: (given… | JEE Main 2024 (31 Jan, Shift 2)

Q14JEE Main 2024 · 31 JAN · SHIFT 2Easy

Speed of Waves

The speed of sound in oxygen at S.T.P. will be approximately: (given, $R = 8.3\text{ JK}^{-1},\ \gamma = 1.4$ )

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Answer: (d)

$v = \sqrt{\dfrac{\gamma RT}{M}}$ with $M = 0.032$ kg/mol, $T = 273$ K.
$v = \sqrt{\dfrac{1.4 \times 8.3 \times 273}{0.032}} = \sqrt{9.91\times10^4}$
$v \approx 315\ \text{m/s}$
So the answer is (d) 315 m/s.

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Speed of Waves question from JEE Main 2024 (31 Jan, Shift 2)

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