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Q.

A sound wave has a frequency of 3 kHz and wavelength 30 cm. How long will it take to travel 1.5 km?

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a

1.2s

b

1.5s

c

1.7s

d

1.9s

answer is C.

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Detailed Solution

Given, Frequency, ν = 3 kHz = 3000 Hz

Wavelength, λ = 30 cm = 0.30 m

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

V = λ ν = 0.30 m × 3000 Hz = 900 m/s

The time taken by the wave to travel a distance, d of 1.5 km is

t=dV=1.5×1000 m900 m/s=159 s=1.67 s1.7 s

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A sound wave has a frequency of 3 kHz and wavelength 30 cm. How long will it take to travel 1.5 km?