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JEE Main 202431 JanuaryEvening Shift
Exam
JEE Main
Year
2024
Date
31 January
Shift
Evening Shift
Subject
Physics
Chapter
Waves and Sound

JEE Main 2024 · 31 January · Evening Shift · 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, R=8.3JK−1,γ=1.4)R = 8 . 3J{K}^{- 1}, \gamma = 1 . 4 )

Options

  1. A310ms−1310m{s}^{- 1}
  2. B333ms−1333m{s}^{- 1}
  3. C341ms−1341m{s}^{- 1}
  4. D325ms−1325m{s}^{- 1}

Correct answer

A. 310ms−1310m{s}^{- 1}

Step-by-step solution

The speed of sound is given by, 

v=\gammaRTM=1.4×8.3×27332×10−3v = \sqrt{\dfrac{\gammaRT}{M}} = \sqrt{\dfrac{1 . 4 \times 8 . 3 \times 273}{32 \times {10}^{- 3}}}

=314.8541≃315ms−1= 314 . 8541 ≃ 315m{s}^{- 1}

Nearest answer given in the option is 310ms−1310m{s}^{- 1}.

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