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Using the relation that speed changes by 0.61 m/s per degree Celsius and is 331 m/s at 0 C, what is the approximate speed of sound at 46 C?
A303 m/s
B331 m/s
C359 m/s
D377 m/s
Answer & Solution
Correct answer: C. 359 m/s
1. List the data: $v_0 = 331\,\text{m/s}$ at 0 C, rate $= 0.61\,\text{m/s}$ per degree, $T = 46\,\text{C}$.
2. Use $v_T = v_0 + 0.61\,T$.
3. Increase $= 0.61 \times 46 \approx 28\,\text{m/s}$.
4. $v_T = 331 + 28 = 359\,\text{m/s}$.
5. Confirm the answer is above 331 since temperature rose.
6. Trap A subtracts instead of adding; trap B forgets the temperature term; trap D over-adds.
_Source: Samacheer Kalvi (TN SCERT) Class 10 Science, Unit 5 Acoustics "Acoustics", p.78_
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