An explosion occurs at an altitude of 312 m above the ground. If the air temperature is -10.00°C, ho
Source: JAMB · 2023
An explosion occurs at an altitude of 312 m above the ground. If the air temperature is -10.00°C, how long does it take the sound to reach the ground?
[velocity of sound at 0°C = 331 ms-1]
An explosion occurs at an altitude of 312 m above the ground. If the air temperature is -10.00°C, how long does it take the sound to reach the ground?
[velocity of sound at 0°C = 331 ms-1]
Explanation
Sound speed is proportional to √T (in kelvin). At −10 °C, T = 263 K; at 0 °C, T = 273 K.
v = 331 × √(263 ÷ 273) ≈ 331 × 0.9815 ≈ 324.9 m/s.
Time = distance ÷ speed = 312 ÷ 324.9 ≈ 0.96 s.
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