The frequency of a sound wave is 200 Hz and its wavelength is 150 cm. What is the distance travelled by a sound wave in the time taken to produce 150 waves?

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Solution

Velocity of sound $=$ wavelength $\times$ frequency
or $v = λ f = 150 \times 200 = 30000 c m / s = 300 m / s$
Time period $T = 1 / f = 1 / 200 = 0.005 s$
Time period is the time for producing one waves so the time taken to produce 150 waves is $t = 150 \times 0.005 = 0.75 s$
The required traveled distance $d = v t = 300 (0.75) = 225 m$

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The frequency of a sound wave is 200 Hz and its wavelength is 150 cm. What is the distance travelled by a sound wave in the time taken to produce 150 waves?

Velocity of sound = wavelength × frequencyor v=λf=150×200=30000cm/s=300m/sTime period T=1/f=1/200=0.005sTime period is the time for producing one waves so the time taken to produce 150 waves is t=150×0.005=0.75sThe required traveled distance d=vt=300(0.75)=225m