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BITSAT 2024Paper 2

Exam: BITSAT
Year: 2024
Paper: Paper 2
Subject: Physics
Chapter: Waves and Sound

BITSAT 2024 · Paper 2 · Physics · Waves and Sound

The speed of sound in oxygen at S.T.P. will be approximately:...

The speed of sound in oxygen at S.T.P. will be approximately: (Given,

\left.\mathrm{R}=8.3 \mathrm{JK}^{-1}, \gamma=1.4\right)

Options

A $315 \mathrm{ m} / \mathrm{s}$
B $333 \mathrm{ m} / \mathrm{s}$
C $341 \mathrm{ m} / \mathrm{s}$
D $325 \mathrm{ m} / \mathrm{s}$

Correct answer

A. $315 \mathrm{ m} / \mathrm{s}$

Step-by-step solution

At STP Temperature,

T=273 \mathrm{ K}

Molecular mass of oxygen,

\mathrm{M}=32 \times 10^{-3} \mathrm{ kg}

Speed of sound is given by

\mathrm{v}=\sqrt{\frac{\gamma \mathrm{RT}}{\mathrm{M}}}=\sqrt{\frac{1.4 \times 8.3 \times 273}{32 \times 10^{-3}}}=314.8541 \simeq 315 \mathrm{ m} / \mathrm{s}

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