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2026 National Semi Final physics Topic 62 Free

Sound waves: speed, intensity, beats and pitch

Speed of sound in air as a function of temperature · Sub-topic 1

SEMI FINAL STAGE 2026

St. Augustine’s College: 52 points

Prempeh College: 47 points

Pope John SHS & Min. Sem.: 28 points


QUESTION

Find the speed of sound in air at 65.0°C.

ANSWER: $v = 3.70 \times 10^2 \text{ m/s}$

FORMULA

$v = 331 + 0.6T$

SOLUTION:

$0.6 \times 65 = \dfrac{3}{5} \times 65$

$0.6 \times 65 = 3 \times 13$

$0.6 \times 65 = 39$

$v = 331 + 39$

$v = 370 \text{ m/s}$

$v = 3.70 \times 10^2 \text{ m/s}$

ANSWER: $v = 3.70 \times 10^2 \text{ m/s}$


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PRACTICE QUESTIONS

1. QUESTION: Find the speed of sound in air at 25.0 °C.

ANSWER: 346 m/s or $3.46\times10^{2}$ m/s

SOLUTION:

$v = 331 + 0.6T$

$0.6 \times 25.0 = 15.0$

$v = 331 + 15.0$

$v = 346\text{ m/s}$


2. QUESTION: Find the speed of sound in air at 35.0 °C.

ANSWER: 352 m/s or $3.52\times10^{2}$ m/s

SOLUTION:

$v = 331 + 0.6T$

$0.6 \times 35.0 = 21.0$

$v = 331 + 21.0$

$v = 352\text{ m/s}$


3. QUESTION: Find the speed of sound in air at 45.0 °C.

ANSWER: 358 m/s or $3.58\times10^{2}$ m/s

SOLUTION:

$v = 331 + 0.6T$

$0.6 \times 45.0 = 27.0$

$v = 331 + 27.0$

$v = 358\text{ m/s}$


4. QUESTION: Find the speed of sound in air at 20.0 °C.

ANSWER: 343 m/s or $3.43\times10^{2}$ m/s

SOLUTION:

$v = 331 + 0.6T$

$0.6 \times 20.0 = 12.0$

$v = 331 + 12.0$

$v = 343\text{ m/s}$


5. QUESTION: Find the speed of sound in air at 30.0 °C.

ANSWER: 349 m/s or $3.49\times10^{2}$ m/s

SOLUTION:

$v = 331 + 0.6T$

$0.6 \times 30.0 = 18.0$

$v = 331 + 18.0$

$v = 349\text{ m/s}$


6. QUESTION: Find the speed of sound in air at 40.0 °C.

ANSWER: 355 m/s or $3.55\times10^{2}$ m/s

SOLUTION:

$v = 331 + 0.6T$

$0.6 \times 40.0 = 24.0$

$v = 331 + 24.0$

$v = 355\text{ m/s}$


7. QUESTION: Find the speed of sound in air at 10.0 °C.

ANSWER: 337 m/s or $3.37\times10^{2}$ m/s

SOLUTION:

$v = 331 + 0.6T$

$0.6 \times 10.0 = 6.00$

$v = 331 + 6.00$

$v = 337\text{ m/s}$


8. QUESTION: Find the speed of sound in air at 5.00 °C.

ANSWER: 334 m/s or $3.34\times10^{2}$ m/s

SOLUTION:

$v = 331 + 0.6T$

$0.6 \times 5.00 = 3.00$

$v = 331 + 3.00$

$v = 334\text{ m/s}$


9. QUESTION: Find the speed of sound in air at 55.0 °C.

ANSWER: 364 m/s or $3.64\times10^{2}$ m/s

SOLUTION:

$v = 331 + 0.6T$

$0.6 \times 55.0 = 33.0$

$v = 331 + 33.0$

$v = 364\text{ m/s}$