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 \(0^oC\) = 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