Question:
If the speed of sound in air at 0°C is 331 m/s, the speed of sound in air at 35°C is:
If the speed of sound in air at 0°C is 331 m/s, the speed of sound in air at 35°C is:
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The speed of sound increases by approximately 0.6 m/s for every 1°C increase in temperature.
Updated On: Mar 25, 2025
- 331.0 m/s
- 340.2 m/s
- 351.6 m/s
- 362.5 m/s
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The Correct Option is C
Solution and Explanation
The speed of sound in air increases with temperature. The approximate formula for the speed of sound at temperature \( T \) in Celsius is:
\[
v = v_0 \left( 1 + \frac{T}{273} \right)
\]
Where:
- \( v_0 \) is the speed of sound at 0°C (331 m/s),
- \( T \) is the temperature in Celsius.
Using this formula for \( T = 35 \):
\[
v = 331 \times \left( 1 + \frac{35}{273} \right) \approx 351.6 \, \text{m/s}
\]
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