Question

10) Calculate the distance travelled by a sound wave having frequency 1000 Hz and wavelength 0.75 m, if it travels for 5 seconds in a certain medium​

Answer 1

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Answer 2

The speed of the sound, distance travelled and the time taken relationship is given as follows.

$\bf Speed \: of \: sound, v = Distance \: travelled × Timetaken ---- \: eqn 1$

With the given values of wavelength = 50 cm = 0.5 m and frequency = 1000 Hz, the speed of the wave is calculated as follows.

$\rm Speed \: of \: sound, v = Frequency (ν) × Wavelength (λ) -- \: eqn 2$

$\bf That \: is, v=ν×λ=1000Hz×0.5 \: \\ \rm \red {m=500m/s}$

Substituting the value of the speed of sound in eqn 1 gives the time taken for the sound wave to travel a distance of 500 m.

$\bf That \: is, Timetaken= \frac{Distance \: travelled}{Speed \: of \: sound} </p><p>$

$\rm \: = \: \frac{500 m/ s}{500m} = 1 \: second$

Hence, the time taken for the sound wave to travel is 1 second.