Question

An airplane produces a sound wave with frequency of 5 KHz and wavelength 30 m. In
how much time would the sound wave cover the distance of 4 Km?

Answer 1

Answer:

Frequency, ν = 5 KHz = 5000 Hz

Wavelength, λ = 30 cm = 0.3 m

Speed, v = ν λ = 0 .3 m x 5000 Hz = 1500 m/s

Time = distance/ speed = 4000/1500 = 2.6 seconds

Answer 2

The time taken is 0.02666.. seconds.

Explanation:

Given: Frequency = 5 Khz = 5000 Hz.

Wavelength = 30 m.

Time = ?

Distance = 4 km = 4000 m.

We know the formula, Speed = frequency X wavelength.

Speed = 5000 x 30 = 150000 ms⁻¹

Time = $\frac{Distance}{Speed}$

Time = $\frac{4000}{150000}$

Time = 0.0266.. seconds.

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