JEE Mains · Physics · STD 11 - 14. waves and sound
The speed of sound in oxygen at \(S.T.P. \)will be approximately _______. (Given, \(\mathrm{R}=8.3 \mathrm{JK}^{-1}, \gamma=1.4\) )
- A \(310 \mathrm{~m} / \mathrm{s}\)
- B \(333 \mathrm{~m} / \mathrm{s}\)
- C \(341 \mathrm{~m} / \mathrm{s}\)
- D \(325 \mathrm{~m} / \mathrm{s}\)
Answer & Solution
Correct Answer
(A) \(310 \mathrm{~m} / \mathrm{s}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{v}=\sqrt{\frac{\gamma \mathrm{RT}}{\mathrm{M}}}=\sqrt{\frac{1.4 \times 8.3 \times 273}{32 \times 10^{-3}}}\) \(=314.8541 \simeq 315 \mathrm{~m} / \mathrm{s}\)
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