How long will a sound wave take to travel 1.5km, which has a frequency of 5 kHz and wavelength of 6 cm?

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Accepted Answer

Step 1: Convert given quantities to SI units:

- Frequency: $f=5\ 	ext{kHz}=5000\ 	ext{Hz}$
- Wavelength: $\lambda=6\ 	ext{cm}=0.06\ 	ext{m}$
- Distance: $d=1.5\ 	ext{km}=1500\ 	ext{m}$

Step 2: Use wave speed formula $v=f\lambda$:

- $v=5000	imes0.06=300\ 	ext{m/s}$

Step 3: Time to travel distance $d$ is $t=\dfrac{d}{v}$:

- $t=\dfrac{1500}{300}=5\ 	ext{s}$

Therefore the correct choice is the option giving 5 seconds.

FINAL_ANSWER: c

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