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An explosion occurs at an altitude of 312 m above the gro...

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 0oC = 331 ms-1]

A.

0.94s

B.

0.96s

C.

0.93s

D.

0.95s

Correct answer is B

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