Q.

A sound wave has a frequency of 4 kHz and wavelength 40 cm. How long will it take to travel 1.6 km?

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a

1.9s

b

1.0s

c

1.5s

d

1.7s

answer is A.

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Detailed Solution

Given, Frequency, ν = 4 kHz = 4000 Hz

Wavelength, λ = 40 cm = 0.40 m

We know that speed, V of the wave = wavelength × frequency

V = λ ν = 0.40 m × 4000 Hz = 1600 m/s

The time taken by the wave to travel a distance, d of 1.6 km is

t=dV=1.6×1000 m1600 m/s=1616 s=1 s

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