Question

How long will sound take to travel in (a) an iron rail and (b) air, both 3.3 km in length? Take speed of sound in air to be 330 m s-1 and in iron to be 5280 m s-1 .

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Answer

(a) Given,

Length of the iron rail = 3.3 km

Converting km to m, we get,

1 km = 1000 m

Therefore, 3.3 km = 1000 x 3.3 = 3300 m

Speed of the sound in iron (V) = 5280 m s-1

t = ?

5280 = 3300\over Time (t)

⇒ t = 3300\over 5280

⇒ t = 0.625 s

Therefore, the time taken by sound to travel in iron rail = 0.625 s

(b) Speed of sound in air = 330 m s-1

Substituting the values in the above formula, we get,

330 = 3300\over Time (t)

⇒ t = 3300\over 330 = 10 s

Therefore, the time taken by sound to travel in air = 10 s

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