Sound and Waves · Speed of sound in different media
Q1. What is the speed of sound in air at 0°C?
- (a) 344 m/s
- (b) 331 m/s
- (c) 316 m/s
- (d) 346 m/s
Answer & solution
Answer: (b) 331 m/s
Correct Answer: 331 m/s — Option (b)
The speed of sound in air at 0°C (273 K) is approximately 331 m/s. The speed of sound in air depends on temperature according to the formula: v = 331 + 0.6T m/s (where T is temperature in °C). At 0°C: v = 331 + 0.6(0) = 331 m/s. As temperature increases, air molecules move faster and collide more frequently, transmitting sound waves more quickly. At 25°C (room temperature), the speed is approximately 346 m/s. Sound travels faster in denser or more elastic media: faster in liquids than gases, and fastest in solids.
Option (a) 344 m/s — Incorrect: 344 m/s is approximately the speed of sound at around 20°C (room temperature), not at 0°C.
Option (c) 316 m/s — Incorrect: 316 m/s is below the actual speed at 0°C; this value does not correspond to any standard atmospheric temperature condition.
Option (d) 346 m/s — Incorrect: 346 m/s corresponds to the speed of sound at approximately 25°C, not at 0°C.
The speed of sound in air at 0°C (273 K) is approximately 331 m/s. The speed of sound in air depends on temperature according to the formula: v = 331 + 0.6T m/s (where T is temperature in °C). At 0°C: v = 331 + 0.6(0) = 331 m/s. As temperature increases, air molecules move faster and collide more frequently, transmitting sound waves more quickly. At 25°C (room temperature), the speed is approximately 346 m/s. Sound travels faster in denser or more elastic media: faster in liquids than gases, and fastest in solids.
Option (a) 344 m/s — Incorrect: 344 m/s is approximately the speed of sound at around 20°C (room temperature), not at 0°C.
Option (c) 316 m/s — Incorrect: 316 m/s is below the actual speed at 0°C; this value does not correspond to any standard atmospheric temperature condition.
Option (d) 346 m/s — Incorrect: 346 m/s corresponds to the speed of sound at approximately 25°C, not at 0°C.