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Consider the sound wave travelling in ideal gases of He, CH4, and CO2. All the gases have the same ratio (P)/(ρ), where P is the pressure and ρ is the density. The ratio of the speed of sound through the gases vHe: vCH4: vCO2 is given by

√((5)/(3)): √((4)/(3)): √((4)/(3))

√((7)/(5)): √((5)/(3)): √((4)/(3))

√((5)/(3)): √((4)/(3)): √((7)/(5))

√((4)/(3)): √((5)/(3)): √((7)/(5))

Waves

JEE Main level, single correct, medium

129 of 142

Question 129 of 142

Consider the sound wave travelling in ideal gases of $\mathrm{He}, \mathrm{CH}_4$ , and $\mathrm{CO}_2$ . All the gases have the same ratio $\frac{P}{\rho}$ , where $P$ is the pressure and $\rho$ is the density. The ratio of the speed of sound through the gases $\mathrm{v}_{\mathrm{He}}: \mathrm{v}_{\mathrm{CH}_4}: \mathrm{v}_{\mathrm{CO}_2}$ is given by

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Answer: (C) $\sqrt{\frac{5}{3}}: \sqrt{\frac{4}{3}}: \sqrt{\frac{4}{3}}$

\begin{aligned} & \mathrm{v}_{\text {sound }}=\sqrt{\frac{\gamma \mathrm{p}}{\rho}} \\ & \gamma=1+\frac{2}{\mathrm{f}} \\ & \gamma_{\mathrm{He}}=\frac{5}{3} \\ & \left.\gamma_{\mathrm{CH}_4}=\gamma_{\mathrm{CO}_2} \approx 1.33=\frac{4}{3} \quad \text { (Experimental data }\right)\end{aligned}

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JEE Main 2025 Apr 2 Shift 1 question paper

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JEE Main Physics practice question on Waves (Speed of Sound Waves), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.