An explosion occurs at an altitude of 312 m above the ground. If the air

PHYSICS
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]

  • A. 0.94s
  • B. 0.96s
  • C. 0.93s
  • D. 0.95s

Correct Answer: B. 0.96s

Explanation

d=312m.,T =263\(-10^°c\) = -10+273K = 263K, t=?

v= 331√ \(\frac{T}{273}\)

⇒ v = 331×√ \(\frac{263}{273}\)

⇒ v = 324.88 \(ms^-1\)

⇒ v = \(\frac{d}{t}\)

t = \(\frac{d}{t}\) = \(\frac {312}{324.88}\)

t = 0.96s



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